You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.



The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____

Answers

Answer 1
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.

Related Questions

Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?

Answers

Answer:

600 in the 8% interest and 2400 in the 3% interest.

Step-by-step explanation:

600 + 8% = 48

2400 + 3% = 72

72 + 48 =120

A video store offers two yearly pricing plans: A. $10.00 charge plus $2.50 for each movie rented. B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie. How many movies will a person need to rent in order to spend an equal amount of money using either plan?

Answers

Answer:

  36

Step-by-step explanation:

The cost of renting n movies using Plan A is ...

  c = 10 +2.50n

The cost of renting n movies using Plan B is ...

  c = 4 +3(n -4) . . . . for n ≥ 4

The two costs are equal when ...

  4 +3(n -4) = 10 +2.50n

  0.50n = 18 . . . . . . . . . . add 8 -2.50n and simplify

  n = 36 . . . . . . . . . . multiply by 2

A person would have to rent 36 movies to spend the same using either plan.

PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm

Answers

Answer:

i think E.942 cm³ is answer

Volume = πr²h

so

3.14×5×5×12

= 942 cm²

The two lines graphed below are not parallel. How many solutions are there to the system of equations?

○ A. Zero

○ B. Two

○ C. Infinity many

○ D. One​

Answers

Answer: d. one

Explanation: the solution of two lines on a graph is where they intersect.

Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year? ​

Answers

Answer:

they all read 52.800 pages in that year

Step-by-step explanation:

320 X 55 = 17.600 pages/person

17.600 X 3 = 52.800 pages

52,800 you just have to muliply it all together

IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!

Answers

Answer:

60 is the answer you're welcome

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

Solve for x. Show all work. 2/3 (x+7) =10

Answers

Answer:

answer is 8

Step-by-step explanation:

2/3(x+7)=10

2x/3+14/3=10

2x/3=10-14/3==>30-14/3

2x/3=16/3

x=16/3*3/2

x=8

EASY MATH QUESTION pls help asap

A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults

Answers

Answer:

b 16 adult is - 40 people end of day

PLEASE HELP!! DUE SOON!!! WILL GIVE 5 STARS ALONG WITH A HEART!!!

Answers

Answer:

8

Step-by-step explanation:

-2(x+1)= -2+5


How you solve that?

Answers

[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]

Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2

what is 4/3 x 19/6-45 x 7

Answers

Answer:

-310.777777778

Step-by-step explanation:

Answer:

The answer is -310.777777778

Step-by-step explanation:

hope its help:)

Maria has a net income of $2,400 per month. She puts $400 into her
savings. What percent of her net income did she put into savings?
Round your answer to the nearest tenth.

Answers

Answer:

17%

Find the percentage that 400 is of 2400 (It's quite tricky to explain).

The area of a triangle is 83 square feet. The base is twice the height. Find the height.

Answers

Answer:

166

Step-by-step explanation:

83x2(twice the height)

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.

Answers

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales tax

Ohio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales tax

Rhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in https://brainly.com/question/25866144

I’m having a lot of trouble with this question

Answers

Answer:

Function C has the greatest initial value

Function B has the greatest rate of change

Step-by-step explanation:

C is greatest for initial value because the line intercepts at 2 and i think B intercepts at -1 then as u can see A intercepts at 0 or origin

B is the greatest rate of change or slope because it goes up by 3 and then A goes up by 5/2 and C goes up by 1/3

rise over run

Hope i helped

A cylinder and a cone both have radius of 6". The height of the cone is 12". The height of the cylinder is 6". Which has the greatest volume?

Answers

Answer:

cylinder has greatest volume

Step-by-step explanation:

solution

given,

radius of cylinder(r)=6cm

height of cylinder (h)=6cm

we know,

volume of cylinder=πr^2h

=22÷7×6×6×6

=4752÷7

=678.857cm^3

radius of cone(r)=6cm

height of cone(h)=12cm

we know,

volume of cone=1÷3πr^3

= 1÷3×22÷7×6×6×6

= 4752÷21

=226.2857cm^3

as a result,cylinder has greatest volume

Chiara's goal is to save $1 500. Each week she saves 15% of her weekly
income of $674.

Answers

Answer:

it will take about 15 weeks

Step-by-step explanation:

15% of 674 is about 101.

so, 1500 divided by 101 is about 15

hope this helps :)

A certain function multiplies Each input number by three to produce an output number given that X represents the input numbers and Y represents the output numbers which graph represents the function.

Please answer
No links
Picture is included

Answers

Answer:

The answer is A. Hope this helped!!!!!!

Answer:

answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C

Help me pls im being timed!

Answers

Answer:

C

Step-by-step explanation:

A blank+63= 150 is the correct answer

Helppp meee please !!!

Answers

Answer:

why has the speaker come to the earth

Answer:

the two numbers are 3x and -x.

Step-by-step explanation:

product = -3x²

sum = 2x

hope this helps you.


A pair of pants costs $24.60 when it is on sale for 25% off. What was the
original cost of the pants? (still....no labels!)

Answers

well, we know the pants are 25% off, that means the current sale price is only 75% of the original price, say the original price is "x" or 100%.  So we know that $24.60 is 75%, what is the 100%?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 24.6&75\\ x&100 \end{array}\implies \cfrac{24.6}{x}=\cfrac{75}{100}\implies \cfrac{24.6}{x}=\cfrac{3}{4} \\\\\\ 98.4=3x \implies \cfrac{98.4}{3}=x\implies 32.8=x[/tex]

Find the x and y intercepts of y=-x-8

Answers

Answer:

anyone wants to have fun with indian girl ?

1+ root2x + 1 = root2x + 8

Answers

Answer:

14x 2 +9

Step-by-step explanation:

Simplify the expression completely.

Answers

Answer: B

Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:

2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]

Hope this helps.

Write an equation in slop intercept form with a given slope. Slope: 5/6, y-intercept: 8

Answers

y=5/6x+8

...............

The Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages​

Answers

Answer:

Rahul is 15, Pushti is 25

Step-by-step explanation:

Rahul age = r, Pushti age = p

Equations according to given info:

r / p = 3 / 5 ⇒ r = 3p/5r + 4 + p + 4 = 48 ⇒ r + p = 40 ⇒ r = 40 - p

Compare the two equations and solve for p:

3p/5 = 40 - p3p = 200 - 5p3p + 5p = 2008p = 200p = 200/8p = 25

Find the value of r:

r = 40 - 25 r = 15

What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)?
О-17
О-11
O-7
O-19

Answers

Answer:

0, -11

Step-by-step explanation:

y-4=-3(x-(-5))

y-4=-3x-15

y=-3x-15+4

y=-3x-11   the ordered to the origin is -11

the y-intercept is at the point (0, -11)

Hope this helps

The x-value of the vertex of f(x) = x2 - 10x + 3 is

Answers

Answer:

x- coordinate = 5

Step-by-step explanation:

Given a parabola in standard form , f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 10x + 3 ← is in standard form

with a = 1 , b = - 10 , then x- coordinate of vertex is

x = - [tex]\frac{-10}{2}[/tex] = 5

A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week

Answers

128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

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