Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Answers

Answer 1

Answer:

2>_1/2m+1/4

Step-by-step explanation:

u

Answer 2

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

What is inequality?

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values. The equal to sign in between is replaced by less than, greater than or not equal to sign. Olivia is selected in the 12U Softball.


Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using [tex]m[/tex]

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = [tex]m[/tex]

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats ≥  [tex]\frac{1}{4}+\frac{m}{2}[/tex]

Therefore,

[tex]\frac{1}{4}+\frac{m}{2}[/tex]  ≤ Amount of food that Felicity's dog eats ≤ 2

let [tex]x[/tex] denotes amount of food that Felicity's dog eats.

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

Hence,  [tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

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Related Questions

Answer number 8 please I’m begging u

Answers

Answer:

Probability - spinner 1

1/5 - not likely

Probability - spinner 2

1/8 - not likely

Step-by-step explanation:

The number of cell phones that employees at a factory can assemble is directly proportional to the number of hours the employees spend assembling cell phones. The employees can assemble 1,576 cell phones in 8 hours. If these employees continue to work at the same rate, how many cell phones will they assemble in 53 hours?​

Answers

Answer:

10,441

Step-by-step explanation:

The number of cell phones the employees can assemble in 53 hours will be 10441.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

1,576 cell phones in 8 hours.

Number of cell phones sells per hour or rate of change,

1576/8 = 197 cell phones/hour.

The number of cell phones sells in 53 hours,

197 cell phones/hour x 53 = 10441 cells phones.

Hence "The number of cell phones the employees can assemble in 53 hours will be 10441".

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15. Which statements are true about


square EFGH? Select all that apply.


20.


P


E


н


A FP=2(EG)


© MZEFH = 45


DFH I EG


B) EP= EH

Answers

Answer:

[tex]EG \perp FH[/tex]

[tex]m\angle EFH = 45^\circ[/tex]

Step-by-step explanation:

Given

See attachment for square EFGH

Required

Select the true statements

The sides of the square are EF, FG, GH and HE while the diagonals are: EG and FH

The diagonals of a square meet at [tex]90^\circ[/tex] . This implies that: EG and FH are perpendicular i.e. [tex]EG \perp FH[/tex]

Also, the diagonals divide the angles at the edges ([tex]90^\circ[/tex]) into two equal angles ([tex]45^\circ[/tex])

This means that:

[tex]m\angle EFH = 45^\circ[/tex]

The other two options are false.

i.e.

[tex]EP \ne EH[/tex]

[tex]FP \ne 2(EG)[/tex]

Answer:

Step-by-step explanation:

Jorge's soccer team is having its annu fundraiser. The team hopes to earn no less than three times as much as it did last year. This year the team earned $87. Write and solve an inequality to represent the team's earnings from last year. ​

Answers

Step-by-step explanation:

Last year, Jorge's team earned $87. This year it wants to earn three times that amount. Therefore:

Goal for this year = 3 x (Last year's earning) = 3 x $87 = $261.

Expand to write an equivalent expression: -1/4(-8x+12y)

Answers

2x-3y IS IR FINAL ANSWER GL

2. Juan Pablo makes an hourly salary of $15 and time-and-a-half for any hours over 40. Last week he worked 45 hours. Explain how you would calculate his weekly gross pay, his Social Security Tax (6.2%), and his Medicare tax (145N). You don't need to actually calculate the values, just explain what mathematical processes you would use and why

Answers

Answer:

Gross = $712.5

Social security = $44.175

Medicare = $10.33125

Step-by-step explanation:

Given that :

Hourly pay = $15

Hours over 40 = 1.5 * $15 = $22.5

Total hours worked last week = 45

Total pay :

(40 * $15) + (45 - 5)*$22.5

$600 + $112.5

= $712.5

Hence, weekly gross pay = $712.5

Social security tax percent =(6.2%)

0.062 * gross = 0.062 * $712.5 = $44.175

Medicare tax percent = (1.45%)

0.0145 * $712.5 = $10.33125

Nine identical cakes weigh a total of 20¼ pounds. How much does each cake weigh? Simplify.

Answers

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

20 1/4 = 20.25

20.25/9 = 2.25

2.25 = [tex]2\frac{1}{4}[/tex]

Each cake weighs 2.25 pounds.

The weight of each cake will be equal to 2(¹/₄).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

A mixed expression, also known as a complex fraction, is a fraction that contains a fraction in the numerator, the denominator, or both the numerator and the denominator.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Nine identical cakes weigh a total of 20¼ pounds.

20(¹/₄) = 20.25

20.25/9 = 2.25

2.25 = 2(¹/₄).

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The rectangle below has an area of 49-x^249−x 2 49, minus, x, squared square meters and a width of 7+x7+x7, plus, x meters. What expression represents the length of the rectangle?

Answers

Answer:

7-x meters

Step-by-step explanation:

Answer: (7-x)

Step-by-step explanation: khan

Can someone help me. The picture is attached. Thank you :) I will give brainliest

Answers

Answer: 5 Explanation:

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] = [tex]\sqrt[3]{5^3}[/tex] = 5

for a person who understands natural logs (ln) vs logs. Why do we use (ln) to inverse an equation when there is no e in the original equation?

Answers

Answer:

Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.

Step-by-step explanation:

911÷406 con operaciones​

Answers

Answer:

2.24384236453

Step-by-step explanation:

division/división

Answer:

Step-by-step explanation:

2.24384236453 divicion y divicion

A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45. Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42. What is the value of each grocery coupon and each drug store coupon?

Answers

Answer:

The value of each grocery store coupon is $6

Then the value of each drugstore coupon is $3.

Step-by-step explanation:

Let's define:

G = value of a grocery store coupon.

D = value of a drugstore coupon.

We know that:

"A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45"

We can write this as:

3*G + 7*D = $45

And we also know that:

"Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42"

We can write this as:

3*G + 6*D = $42

Then we have the system of equations:

3*G + 7*D = $45

3*G + 6*D = $42

To solve this, we can isolate the term "3*G" in one of the equations (because it appears on both of them)

Let's isolate it on the second equation:

3*G = $42 - 6*D

Now let's replace this on the first equation:

($42 - 6*D) + 7*D = $45

$42 + D = $45

D = $45 - $42 = $3

Then the value of each drugstore coupon is $3.

And we also have the relation:

3*G = $42 - 6*D

We can just replace the value of D to get:

3*G = $42 - 6*$3 = $42 - $24 = $18

G = $18/3 = $6

The value of each grocery store coupon is $6

I need help plz and thank you

Answers

Answer:

x is 75 degree and y is 140 degree

Which exponential function is represented by the graph ?

Answers

Answer:

amogus

Step-by-step explanation:

Jonah has been saving for a video game. Last year it cost $28. This year it costs $36. Determine the percent of change.​

Answers

Answer:

Where: 28 is the old value in 36 is the new value in this case we have a positive change increase of 28.571142857

Si el ángulo interior de un polígono regular mide 144° ¿cuantos lados tiene el polígono regular?​

Answers

Answer:

Peste de angolo, yawa ka ano, imo, lenguahe you pathetic yawa ka translate onion in the body of the Government agency or office wherein in a way that you may not have 3173 with the Philippines as they will not form the basis of the Government agency or office wherein you can also use the information to help you to get to your local area by using the information provided by the stator and other information centres in St Albans and you will be required for the information to help with your

Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST

answers:
4(4x +3y)

4(4x +3y – 1)

16(x +4y – 12)

A.14xy

Answers

Answer:

It is 4(4x + 3y - 1) I just did this quiz

Step-by-step explanation:

i suck at fractions..............................

Answers

That would be 6 and 3/8

A restaurant bill before tax is $15.50. How much is a 15% tip for this bill?

Answers

Answer:

for 1 person the tip is $2.33

Step-by-step explanation:

HURRY ITS DUE IN 10 MINUTES

1. How do cells in an organism function?
2. Compare and contrast how producers and consumers get energy?
3. How do plant cells make food?
4. How do you think water and carbon-dioxide used for photosynthesis get into the plant's leaf?
5. What are the starting materials in photosynthesis?
6. What is the chemical equation for photosynthesis?
7. How do cells get energy from food?
8. What are the starting materials in cellular respiration?
9. What is the main cell organelle used in photosynthesis? Used in cellular respiration?

Answers

This is in the math category :/ I didn’t want to do science cells fiction due to the mitochondria produces get energy from the sun consumers get energy from plans and animals plant cells make food using photosynthesis the plant sucks in water and carbon dioxide through its roots the starting materials in photosynthesis are oxygen a seen or sprout and water the chemical equation for photosynthesis I can’t remember and cells get energy from mitochondria breaking up food and giving energy in return the starting materials in cellular respiration are carbon dioxide and oxygen and the cell organelle mostly used during photosynthesis is the mitochondria sorry if I messed up in kinda in a rush and sorry for the one that I didn’t know

When adding two mixed numbers, you should add the ignore the fractions and add the mixed numbers first.
True
False

Answers

Answer:

FALSE

.....

I think?

Evaluate the expression. √9 =?​

Answers

The square root of 9 is 3

Igor and sally both tan the same distance. Igor completed The distance in two hours. His average speed was 6 mph. Sally completed the distance in four hours. What with Sally is average speed for the journey? Give your answer in miles per hour

Answers

Answer: 3mph

Step-by-step explanation:

Speed is calculated as Distance/Time.

Igor's distance = Speed × Time

= 6 × 2

= 12m

Since they ran same distance, Sally also ran 12m

Sally's speed = Distance/Time

where,

Distance = 12m

Time = 4 hours

Average speed = 12/4 = 3mph

Can anyone help? Thanks

Answers

Answer:

jmmbnmmnbhm

Step-by-step explanation:

5y7ik6rto8i7tipupuj

PLEASE I NEED HELP!

which is the simplified rational expression for r^2-4r+5/r-4 - r^2+2r-8/r-4

C is incorrect!

Answers

fourth one i think (the way u typed the q is confusing)

Answer:Complete the statements.

When r = 2, the first expression is . 6

When r = 2, the second expression is 6.

When r = 5, the first expression is 21.

When r = 5, the second expression is .

The expressions are not equivalent. 12

Step-by-step explanation:

i got it right on e d g e n u i t y

Step-by-step explanation:

3x+2.2is equal to x=1.7

Answers

Answer:

7.3 answer

Step-by-step explanation:

x=1.7

now

3x+2.2

3×1.7+2.2

7.3

What is the domain of the function represented by the graph?
4
1
2-+
X
-2
TUL
NELL
A. X54
OB. all real numbers
C.
X20
OD
OsXs4

Answers

Answer:

Option C x>0

GOOD LUCK FOR THE FUTURE ! :)

All real numbers (In interval form (-∞,∞) )

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). This set is the values that the function shoots out after we plug an x value in.

here, we have,

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

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If f(x) = x^2 + 3x – 2. find f(-2) .
f(-2) = -4
f(-2) = 4
f(-2) = -2
f(-2) = 2​

Answers

Answer:

f(-2) = - 4

Step-by-step explanation:

f(x) = x² + 3x - 2

f(-2) = ( -2)² + 3 *(-2) - 2

= 4 - 6 - 2

= 4- 8

= - 4

Hope it will help :)

Which relation is a function?

{(5, 0), (–8, –5), (–8, 5), (–5, –8)}

{(5, 0), (0, 5), (–5, –5)}

{(5, 0), (0, –8), (5, –5)}

{5, 0, –8, –5}

Answers

The third one is a function
The person on top is correct the third one is a function have a nice day:)

When placed near a second charge, a 60-μC charge experiences a force of 0.30 N. What is the electric field strength at the location of the 60-μC charge? What is the strength of the electric field at the location of the test charge?

Answers

Answer:

[tex]E=5000N/C[/tex]

Step-by-step explanation:

From the question we are told that

Charge [tex]q= 60 \mu C[/tex]

Force [tex]F_=0.30N[/tex]

Generally the equation for electric field strength is mathematically given as

[tex]E=F/q[/tex]

[tex]E=\frac{0.30}{60*10^-^6}[/tex]

Therefore

[tex]E=5000N/C[/tex]

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