An adult seal eats 48.5 pounds of food daily. how many full days would 785.7 pounds of food last?

Answers

Answer 1

16 full days will be covered by the 785.7 pounds of food.

What is unitary method?

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

We are able to locate the missing value using the unitary technique.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

According to our question-

1 pound of food will last = 1/48.5 day

Pounds equal 785.7*(1/48.5) = 785.7

= 785.7/48.5

= 16.2

Only full days will be counted, therefore

We'll only count up to 16.

So, the 785.

16 days will pass after 7 days.

The 785.7 pounds of food will therefore be plenty for 16 full days.

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Related Questions

HELP
i just need to make sure my answers are right (i will check the answer after i do it)

Answers

0,4
1,1
2,-2

I think this is right

Can you help me with this

Answers

The slope of the line is 1/2

The table shows the average speed of
the winner of a car race for different
years. About how many miles did the
winner of the car race in 2015 travel
after 2 hours? Round to the nearest
whole number.

Answers

The distance traveled after 2 hours will be 324 miles.

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

The table shows the average speed of the winner of a car race for different

years.

year      average speed

2005     135.17

2010      137.28

2015      161.94

2020     141.11

In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.

So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:

161.94 miles/hour × 2 hours = 323.88 miles.

Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.

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The question seems to be incomplete the missing table has been attached below

3/4 of the tudent paed an Examination. 28 tudent appeared for the exam. How many tudent failed the examination?

Answers

7 students failed the examination out of 28 students who appeared for the examination.

What is the Proportion?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls)

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

If 3/4 of the students passed the exam, this means that 1 - 3/4 = 1/4 of the students failed the exam.

We can use this information to find the number of students who failed the exam by multiplying the total number of students who appeared for the exam by the proportion of students who failed:

Number of students who failed = Total number of students * Proportion of students who failed

Number of students who failed = 28 students * 1/4 = 28 students * 0.25 = 7 students

Hence, 7 students failed the examination out of 28 students who appeared for the examination.

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(i) Write 3^-2 as a fraction
(ii) Find the value of 3X^0 when X=5

Answers

ans Is here i) 1/9

ii) 3

tq brainlest?

How do you draw a line segment equal to a given segment?

Answers

draw a line from the starting point of the segment to the endpoint using the same angle and length.

1. Place a ruler or straightedge on the given segment and draw a line along the length of the ruler.

2. Use a compass to create a line segment equal to the given segment. Set the compass to the length of the given segment, place the point of the compass on one end of the segment, and draw an arc to the other end of the segment.

3. Use a protractor to measure the angle and length of the given segment. Then, draw a line from the starting point of the segment to the endpoint using the same angle and length.

The answer explains three methods for drawing a line segment equal to a given segment: using a ruler or straightedge, using a compass, and using a protractor.

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Sport

Soccer

Jogging

Walking

Skiing

Football

Total

Hrs

5

20

10

5

10

50

Calculate the

portion for jogging

in degrees

[?]

20 hrs.

Total Sport Hours

Answers

The portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours is 72 degrees.

Therefore the answer is 72°.

To calculate the portion of walking in degrees, we first need to find the total amount of time spent walking. In this case, it is 10 hours.

Next, we need to find the total amount of time spent on all sports, which is 50 hours.

Now we can calculate the portion of walking by taking the amount of time spent walking (10 hours) and dividing it by the total amount of time spent on sports (50 hours).

This gives us the fraction of time spent walking which is

10/50

= 1/5

Finally, we can convert this fraction to degrees by multiplying it by 360 (the number of degrees in a full circle).

So the portion of walking in degrees is

(1/5) × 360

= 72 degrees

--The question is incomplete, complete question is given below--

"Calculate the portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours."

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A ​$280 suit is marked down by ​30%. Find the sale price.

Answers

Answer:

To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.

Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.

So the sale price of the suit is $196.

Step-by-step explanation:

What is the degree of the polynomial 2x² 5x²³ 7?

Answers

The degree of the polynomial  [tex]2xA^2 5xA^2A^37[/tex] is 9

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2xA^2 5xA^2A^37[/tex]

The total sum of power is: 1+2+1+2+3=9

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How does Earth's rotation cause day and night ?

Answers

Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.

Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for  creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

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Help me explain this question

Answers

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

what is variation ?

Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.

given

the population of the bugs

b is the no. of bugs = 50 . [tex]3^{t}[/tex]

t is the no. of weeks they first counted

so this question explains

the range of population estimates

Is there a trend in the variation of estimates

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

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Question 3 of 10
If f(x) = 7x-6, which of the following is the inverse of f(x)?
O A. f-1(x) = x76
f−¹(x) = x=7
X-7
6
B.
O C. f-1(x) = x+7
D. f¹(x) = x+6
7
SUBMIT

Answers

Therefore, the solution of the given problem of function comes out to be [tex]f^{-1}[/tex] =  x+ 6 /7.

Describe function.

Mathematics includes the study of numbers, equations and associated structures, forms and the environments in which they occur, quantities and their changes, and spatial relationships. A function is an association between such a set of inputs, each of which has an output. Simply described, a function is an association between the inputs and outputs in which each input results in a single, distinct result. Each operation has a domain and a scope, which are also referred to as codomains.

Here ,

In our case, f(x) = y = 7x-6.

The following procedures must be taken in order to determine the inverse function of the given function:

First, x and y must be switched, thus

x= 7y-6

We must add 6 to both sides in order to solve for y in the following step.

x+6=7y

7 divided by both sides, that is

y = x+ 6 /7

Therefore, the solution of the given problem of function comes out to be

[tex]f^{-1}[/tex] =  x+ 6 /7.

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Question 8(Multiple Choice Worth 4 points) (02.01 MC) Identify the types of sampling errors that exist in the following sampling designs: The local newspaper plans to make a prediction for a senatorial election based on a survey of its readers. A radio show asks people to phone in their views on whether the United States should pay off its debt to China. A new social media website chooses to survey the first 50 members who join to determine whether members favor the appearance of the homepage.

Answers

Answer: Nonresponse, voluntary, and convenience.

Step-by-step explanation:

For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.

For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.

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in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer

Answers

The expectation is -$9.6

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.

Expected winning per ticket :

Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket

= 1 + 1.2 + 0.6 + 1 - 7

= 3.8-7

= -$3.2

Expected winning if 3 tickets are purchased :

3 × (-3.2) = -$9.6

Hence, the expectation is -$9.6

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Two children take turns breaking up a rectangular chocolate bar 6 squares wide by 8 squares long. They may break the bar only along the divisions between the squares. If the bar breaks into several pieces, they keep breaking the pieces up until only the individual squares remain. The player who cannot make a break loses the game. Who will win

Answers

The player who goes first will win.

This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.

Therefore, The player who goes first will win.

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The annual cost of Randall coverage is 4900. The college pays 62% of the cost. How much is Devi red from his biweekly paycheck for medical insurance?

Answers

$1862  is Devi red from his biweekly paycheck for medical insurance

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The annual cost of Randall coverage is 4900.

The college pays 62% of the cost.

We need to find How much is Devi red from his biweekly paycheck for medical insurance

Let us convert 62% to decimal value by dividing with 100

62/100=0.62

Now multiply 0.62 with 4900

0.62×4900

3038

Now subtract 3038 from 4900

4900-3038

1862

Hence, $1862  is Devi red from his biweekly paycheck for medical insurance

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Kelly has a savings account with a beginning balance of $800.


• She earns $340 a week at her job.


• For 8 weeks, she puts 15% of her weekly earnings into the savings account.


• Kelly makes 3 withdrawals of $45 each.


What is the account balance at the end of 8 weeks?

Answers

Let's start by using the provided information to formulate an equation.

Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.

y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.

Simplify parenthesis first:

y=8(.15·340)+800-45(3)

y=8(51)+800-45(3)

Complete any multiplication:

y=8(51)+800-45(3)

y=408+800-135

Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:

y=408+800-135

y=1208-135

y=1,073

Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.

Hope that helps, and feel free to give Brainliest!

The account balance at the end of 8 weeks is $1073.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.

Therefore, 15% of her weekly earnings for 8 weeks is,

= (15/100)×340×8.

= $408.

Again, She made $45 withdrawals 3 times, which is,

= 3×45.

= $135.

Therefore, The final amount in her account after 8 weeks is,

= $(800 + 408 - 135).

= $1073.

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On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 2020 days

Answers

On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9

what is a sequence?

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

here,

on day 1 = he sold 1

on day 2 = he sold 3

on day 3 = he sold 5

on day 4 = he sold 7

on day 5 = he sold 9

.

.

.

.

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What is true about the sum of the two polynomials 6 s 2 t − 2 st 2 4 s 2 t − 3 st 2?

Answers

The sum of the two polynomials 6s²t – 2st² and  4s²t – 3st² is 5(2s²t – st²) in factorized from.

What is polynomials?

One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".

A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.

In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).

The sum of two polynomial is

⇒6s²t – 2st² + 4s²t – 3st²

= 6s²t + 4s²t – 3st²– 2st²

= 10s²t – 5st²

= 5(2s²t – st²)

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Full question

What is true about the sum of the two polynomials?

6s²t – 2st² and  4s²t – 3st²

best buy has a sale on video games and dvds for labor day weekend Katie bought 2 games and 3DVD's and spent $134 dollars Emily bought 1 less game but 2 more DVD's and spent $179 how much does each DVD and game cost

Answers

Each video game = $19 and each DVD = $ 32

What is equation?

An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.

How to solve the equation as stated in the question?

let, x denotes the cost of each video games.

y denotes the cost of each DVD

Katie bought 2 games and 3 DVD and total spent $134.

the equation can be written as 2x + 3y = $134 .......equation 1

Emily bought 1 less video game than Katie that means she bought 1 game.

 and    2 more DVD than Katie that means 5 DVD bought by Emily.

total spent of Emily = $179

The equation will be x + 5y = $179...... equation 2

in order to solve the two equations by addition method

we multiply by 2 to the second equation.

2x + 10y = 358

the first equation 2x +3y = 134

                             2x + 10y = 358

                            -       -          -

                    by subtracting we get,

                         - 7y = -224

                         y = 32

from the 2nd equation we get x = -5×32 + 179

                                       x = 19

each video game cost $ 19 and each DVD cost $ 32

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What is the volume of Hannah's suitcase in cubic inches?

Answers

The volume of Hannah's suitcase in cubic inches is: C: 7938.

How to find the volume?

The volume can be determine using this formula

Volume = Length × Width × Depth

Where:

Length = 27 inches

Width = 21 inches

Depth = 14 inches

Let plug in the formula

Volume = 27 inches × 21 inches × 14 inches

Volume = 7,938

Therefore we can conclude that the volume is 7,938.

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Can the inverse of a function be the same function?

Answers

Answer:

Yes

Step-by-step explanation:

y = x has the inverse x = y

If PQR measures 75°, what is the measure of SQR?

22°
45°

Answers

The measure of the angle ∠PQS will be 53°. Then the correct option is C.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

If angle ∠PQR measures 75°. And angle ∠PQS measures 22°.

Angle ∠SQR and angle ∠PQS are the adjacent angles. Then we have

∠PQS + ∠SQR = ∠PQR

∠PQS + 22° = 75°

∠PQS = 53°

The measure of the angle ∠PQS will be 53°. Then the correct option is C.

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Complete question is attached below.

System of linear inequalities

The girl's swim team is hosting a fundraiser. They would like to raise at least $500.They are selling candles for $5 and flower arrangements for $6.The girls estimate that at most they will sell 200 items. How many candles and flowers arrangement. The girl estimates that at most they will sell 200 items. how many candles and flower arrangements were sold?

S: what is the problem with asking you to find

O:organize, and circle the numbers and underline the following information

let x be ..........

let y be.........

L: write your plan in words.........

set up the equations.........

V: carry out your plan

E: examine the result, write the answer in complete sentences
Then graph the equation

Answers

Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.

To solve this problem, we have to set our variables as;

Let;

x = number of candiesy = number of flowers

The equations can be written as;

5x + 6y = 500 ...eq(i)

x + y = 200 ...eq(ii)

From equation ii,

x = 200 - y ...eq(iii)

Put eq(iii) into eq(i)

5(200 - y) + 6y = 500

1000 - 5y + 6y = 500

1000 + y = 500

y = -500

Put y = -500 into eq(ii)

x - 500 = 200

x = 700

From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.

Kindly find the attached graph below

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Consider rigid-body physics in a higher or lower dimension than three. How many coordinates are required to specify the location and orientation of a rigid body:If the space is two-dimensional?a. 2b. 3c. 4d. 5

Answers

In two-dimensional space, only two coordinates are required to specify the location and orientation of a rigid body.

In two-dimensional space, a rigid body can only move in two directions (up/down and left/right) and rotate around a single axis. As a result, only two coordinates are needed to specify the location and orientation of a rigid body in two-dimensional space. The two coordinates needed to specify the rigid body's position are the x-coordinate and y-coordinate, which define the position of the body in the plane. The orientation of the rigid body can be determined by determining the angle between the x-axis and the body's orientation, which is referred to as the angle of rotation. The combination of these two coordinates (position and rotation) specify the full state of the rigid body in two-dimensional space.

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What are the properties of directed line segment?

Answers

The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.

1. It has a definite starting point and a definite ending point.

2. It has a definite length.

3. It has a definite direction.

4. It has a slope and equation.

5. It divides the plane into two parts.

6. It is symmetric about its mid-point.

7. It is two-dimensional.

A directed line segment is a line segment that has a definite starting point and a definite ending point. Its length is the distance between the two points and it has a direction, given by the vector from the starting point to the ending point. The line segment divides the plane into two parts. It is symmetric about its mid-point, which is the point halfway between the two endpoints. It has a slope and an equation. The slope is the ratio of the change in y-coordinates to the change in x-coordinates. The equation of the line segment is written in the form y = mx + b, where m is the slope and b is the y-intercept. Finally, a directed line segment is two-dimensional.

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What is the domain of the function y=5√6−2x​

Answers

The domain is all values of x that makes the expression defined.

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

What is the domain of the given function?

Given the function in the question;

y = 5√(6−2x)​

To find the domain, set the radicand greater than or equal zero and solve for x.

6 - 2x ≥ 0

Subtract 6 from both sides

6 - 6- 2x ≥ 0 - 6

-2x ≥ -6

Divide both sides by -2

-2x/-2 ≤ -6/-2

x ≤ -6/-2

x ≤ 3

Therefore, the domain is;

Set-Builder Notation: {x| x ≤ 3 }

Interval Notation: (-∞,3]

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Tamara said the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y). Is she correct? Explain. And what is the correct expression.

Answers

Answer:

Yes, Tamara is correct that the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y).

The Distributive Property states that for any real numbers a, b, and c, we have:

a(b + c) = ab + ac

This property allows us to distribute a factor to each term within a set of parentheses.

In this case, Tamara used the Distributive Property to rewrite the expression 21x + 56xy as an equivalent expression. She did this by taking the factor of 7 and distributing it to each term within the parentheses:

7(3x + 8y) = (73x) + (78y) = 21x + 56xy

Therefore, the correct expression is 7(3x + 8y).

Step-by-step explanation:

Tamara is not quite right there. She was on the right track by multiplying the bases by the 7 outside the parentheses. But the “8” base just had a “y” variable attached to it. Tamara put a “xy” variable after she distributed the 7. The correct expression would be 21x+56y.

2 hrs 35 minutes
+ 3 hrs 40 minutes
please help asap thank you !!

Answers

2hrs +3hrs = 5hrs
40min +35 min = 1hr 15 minutes

total time = 6 hrs and 15 minutes
Given there are 60 minutes in an hour, we can set up an equation:

35 + 40 = 75

75 minutes converts to an hour and 15 minutes, so we can add this to the sum of hours:

2 + 3 = 5 hours

5 hours + 1 hour & 15 minutes = 6 hours & 15 minutes.

Hence, 2hrs & 35 minutes + 3hrs & 40 minutes = 6hrs & 15 minutes.

What are all values of $p$ such that for every $q>0$, we have$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q}>2p^2q

Answers

The values of p that satisfy the inequality for all[tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

Given:[tex]$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q} > 2p^2q^2$$[/tex]

Step 1: Multiply both sides by [tex]$\frac{pq}{3}$[/tex] to get: [tex]$$pq^3 p^2q 3q^2 3pq > 2p^2q^3$$[/tex]

Step 2: Simplify the left side to get: [tex]$$3p^2q^3+3pq^3+3q^2 > 2p^2q^3$$[/tex]

Step 3: Divide both sides by [tex]$q^2$[/tex] to get: [tex]$$3p^2q+3pq+3 > 2p^2$$[/tex]

Step 4: This is a quadratic inequality in[tex]$p$[/tex]with solution[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all  [tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

the given inequality can be simplified to a quadratic inequality in p by multiplying both sides by[tex]$\frac{pq}{3}$[/tex], simplifying the left side, and dividing both sides by[tex]$q^2$[/tex] The solution of the quadratic inequality is

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all [tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex], which means that any value of p that is greater than[tex]$\frac{3+\sqrt{21}}{2}$[/tex] or less than

[tex]$-\frac{3+\sqrt{21}}{2}$[/tex]will satisfy the inequality for all [tex]$q > 0$[/tex]

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