The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
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altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an
Answer:18
Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18
The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?
The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.
What is the rate of change of a function?The rate of change of a function is the rate at which the output value changes per unit change in the input value.
The possible data and table obtained from a similar question on the website are presented as follows;
Student A
Number of minutes; [tex]{}[/tex]1 2 3 4
Number of words read; 150 [tex]{}[/tex]300 450 600
Student B
y = 158·x
Where;
x = The time duration in minutes
y = The number of words read by the student
Student C
The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)
The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;
Reading rate for Student A = (300 - 150)/(2 - 1) = 150
The reading rate for Student A is 150 words per minute
The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute
The of the straight ling graph for the reading rate of Student C is found as follows;
Slope = (420 - 280)/(3 - 2) = 140
The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute
The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute
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The sum of the age of a girl and her brother is 34. The girl is 8 years older than her heather, how old is her brother
Answer:
26
Step-by-step explanation:
if she is 8 years older, then is just 34-8 which is 26
Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10
Answer: The correct interpretations about the graph of r(t) are B, D, and E.
Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.
Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.
Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.
Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.
Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.
Step-by-step explanation:
Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.
Mary paid $3.80 per pound and Mark paid $4.00 per pound.
19 ÷ 5 = 3.80
16 ÷ 4 = 4
Mary's unit rate is less than Mark's unit rate.
How to calculate expression?To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.
Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:
The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased
= $19 / 5 pounds
= $3.80 per pound
Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:
The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased
= $16 / 4 pounds
= $4.00 per pound
Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.
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4. Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia. How much money does John have?
To solve this problem, we can set up the following equation:
Torrie + John = Sonia - John
This equation represents the fact that John has the same number of dollars more than Torrie as he has less than Sonia. We can then substitute the given values for Torrie, Sonia, and John to solve for John:
430 + John = 760 - John
Combining like terms, we get:
2 * John = 330
Dividing both sides of the equation by 2, we get:
John = 165
Thus, John has $165.
PLEASE HELP
All numbers less than 17 and greater than or equal to -8
Answer: C
Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17
Please help im timed on this
The slope of the line is 1.25 and the value of x is 12.
What is slope of a line?A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.
Given that:
rise =10
run = 8
The slope is determined by the following formula:
Slope = Rise / Run
[tex]Slope = \frac{10}{8} = 1.25[/tex] .
The slope of a line equation is given by:
[tex]y_2 - y_1 = m (x_2-x_1)[/tex]
Here, m is the slope of the equation.
Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.
[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]
Hence the value of x is 12.
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Answer:
The slope of the line is 1.25 and the value of x is 12.
Step-by-step explanation:
A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans.
To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.
To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.
Draw a number line to show 2/8 and 4/16 are equivalent.
Step-by-step explanation:
think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.
PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?
The pound of cement used based on the information will be C. 2 pounds.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.
The pound of cement used will be:
Gravel = 1 2/3 × 3
= 5 pounds
Cement used will be:
= 2/5 × 5.
= 2 pounds.
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Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in degrees. (Enter your answers as a comma-separated list.) −420°
Answer:
- 420° = -7/3 π ≈ - 2.333 π
Step-by-step explanation:
- 420° = -7/3 π ≈ - 2.333 π
Coterminal angle in [0, 360°) range:
300°, located in the fourth quadrant.
Positive coterminal angles: 300°, 660°, 1020°, 1380°, 1740°...
Negative coterminal angles: -60°, -420°, -780°, -1140°
I hope this helps!1!!
-420° = -360° - 80° = -80°
-80° = 360° - 80° = 280°
Co terminal angle = 280° and -80°
How do you find the discrminant?
The discriminant is calculated using the formula b squared minus 4ac.It reveals how many possible answers there are to a quadratic problem.
what is discriminant ?The section of the quadratic formula following the square root symbol, b2-4ac, is the discriminant. If there are two solutions, one solution, or no solutions, the discriminant informs us of this. There are two solutions if the discriminant is bigger than zero. The square root's input (i.e., its contents), which is the phrase b2 4ac, is known as the "discriminant" because using its value, you may "discriminate" between (i.e., be able to distinguish between) the different solution types.
here
Keeping in mind that a, b, and c are the coefficients of your quadratic in standard form,
the discriminant is calculated using the formula b squared minus 4ac.
It reveals how many possible answers there are to a quadratic problem.
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FIND C.
Give your answer in the simplest form
Answer:
3
Step-by-step explanation:
[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]
[tex]a = 7[/tex]
[tex] \tan(30) = \frac{7}{c} [/tex]
[tex]c = 7 \sqrt{ 3} [/tex]
therefore 3 is required in the green box
Please help me asap
On solving the provided question, we cans ay that By unitary method, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
By unitary method,
original length of pipe = 3/9 inch
shortened length of pipe = 2/9
so, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9
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Can someone pls tell me how to do this?
Simplify (5y)³
Answer: 125y³
To rise a product to a power, rise each factor to that power:
(5y)³ = 5³y³ = 125y³
72 ounces and 6 steaks = what rate and unit rate
If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?
Answer: 10:30 am
Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!
What’s the answer ?
Solve |2x - 3| ≥7
Answer:
x ≤ −2 or x ≥ 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)
please help me out
Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room
Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?
Answer:
7/12 (seven over twelve)
Step-by-step explanation:
1/3 -1/4 =4/12- 3/12=1/12
1/2+1/12=6/12+1/12=7/12
so the answer is 7/12
hopefully this helps
How do logarithmic functions model real-world problems and their solutions? Give a specific example and explain.
The process of logarithmic functions in real-worlds problems is given below.
And an example of an application of logarithmic function is given.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
We know,
logarithmic function and exponential function are inverse of each other.
So, whenever we solve the exponential function,
we use the help of logarithmic functions.
To compute the number with bigger exponents,
we use the logarithms.
Because it reduces the size of the numbers.
Let the bacteria is growing exponentially,
b = 2ⁿ.
We know that the bacteria grows every hour.
We want to find time.
Here, we will use the inverse function to the exponential function.
How long will it take them to get 1000 bacteria?
1000 = 2ⁿ
Taking log on both sides,
log(1000) = n log2
n = log(1000)/log(2)
n = 9.96
n ≈ 10 hours.
Therefore, an application of logarithmic function is given above.
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What is the equation of the line that passes through the point (-4,-4) and has a
slope of -3/4?
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]
Answer:
y = -3/4x - 7
Step-by-step explanation:
Given: slope = m = -3/4
Plug this value into the standard slope-intercept equation of y = mx + b.
y = -3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = -3/4(-4) + b
To find b, multiply the slope and the input of x(-4)
-4 = 3 + b
Now, subtract 3 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -3/4x - 7
This is your equation.
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Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
3
16
0.85
100
0.425
0.375
3
4
0.316
0.38
40
김
20
0.1875
We have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
What is the equivalent expression?
An equivalent expression is a mathematical expression that has the same value as another expression but is written differently. Equivalent expressions can be obtained by using the properties of arithmetic such as the commutative, associative, and distributive laws.
3/16 can be described as 0.1875
0.85 can be described as 17/20.
3/8 can be described as 0.375.
0.425 can be described as 17/40.
Hence, we have mapped the correct equivalent expressions.
3/16 ⇒ 0.1875
0.85 ⇒ 17/20.
3/8 ⇒ 0.375.
0.425 ⇒ 17/40.
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please help me thank you so much
Find the slope of the line passing through each of the following pairs of points. (–7, 1) (7, 8)
Answer:
1/2
Step-by-step explanation:
Slope(m)
= (y2 - y1)/(x2 - x1)
= (8 - 1)/(7+7)
= 7/14
= 1/2
Determine the value of x.
A) 2√3 B) 6√3 C) 12 D) 12√3
The required measure of the value of x is given as 2√3. Option A is correct.
What are trigonometric equations?
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
here,
Consider the given triangle,
perpendicular = 6
base = x
Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3
Thus, the required measure of the value of x is given as 2√3. Option A is correct.
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Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.
Answer:
$202.30
Step-by-step explanation:
You want to know the value of a 20% tip on a bill of $1011.50.
TipThe tip amount can be found by multiplying the bill amount by the tip percentage:
20% · $1011.50 = $202.30
Lucas tipped the server $202.30.
__
Additional comment
You know that 10% of the amount can be found by moving the decimal point one place: $101.15.
20% of the amount will be double this value: $202.30. You can do this math mentally.
Evaluate m - 16 when m = 30
[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14