A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.

Answers

Answer 1

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

--------------------

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x


Related Questions

Help please!! Right one gets brainliest!!

Answers

Answer:

Here ya go! The answer is E,X

Step-by-step explanation:

The orgin is 0. So if we count 5 units on the Y and the X axis, you get E and X

What is the missing number in the sequence 1, 5, 10, 16, 23, 31,__?

Answers

Answer:

40 I think, if I wrong sorry

Step-by-step explanation:

Lines m and n are parallel, solve for the following values of x. Tell which theorem you used(name the angle pair)

Answers

Answer:

x = 90  (Alternate exterior angles)

Step-by-step explanation:

Given that,

Lines m and n are parallel.

We need to find the value of x.

Here, (180-x) will be equal to x as the alternate exterior angles are equal. So,

(180-x) = x

180 = 2x

x = 90

So, the value of x is equal to 90°.

Find the value of x in the figure shown.

Answers

Answer:

17

Step-by-step explanation:

3x +39 =90

3x =90-39

3x=51

make it in fraction

3x over 3 equals to 51 over 3

simplify

= 51

Answer:

x = 17

Step-by-step explanation:

a straight line equals 180º so each side is 90º.

90 - 39 = 51

3 x __ = 51

3 x 17 = 51

so..x = 17

Which statement is true about a trend line?
A regression line and a trend line our opposite terms.
A regression line and trend wine are equivalent terms.
A trend line represents only the smallest data points.
A trend line represents only the largest data points.

Answers

The answer is a if it’s not a I’m sorry but I love you

Answer:

I would say the answer is D.

Step-by-step explanation:

A trend line shows the trend ( the average) so it would use the largest data points.

Look at the picture!

Answers

You’re answer is c hope it helps !

Yo pls help ill give you 10 or 22 points I’m rlly stuck pls pls help me :(

Answers

Answer: x < -6

Step-by-step explanation:

16 > -3x-2

18 > -3x

x < -6

(flip the sign because you are diving by a negative number.)

30 points for RIGHT ANSWER

Answers

The answer is 18 I’m pretty certain so D

Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?

a. circle with center at (–5, 10), shading inside the circle
b. circle with center at (5, –10), shading inside the circle
c. circle with center at (5, –10), shading outside the circle
d. circle with center at (–5, 10), shading outside the circle

Answers

Answer:

a. circle with center at (–5, 10), shading inside the circle

Step-by-step explanation:

I have a quizlet for those towards the end of the course aka Cameron its

HELI KADAKIA to study ofc

The graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the graph is f(x + 5)² + (y – 10)² < 169. When we plot the equation we get the circle having an inside shaded part. The coordinates of the circle are (5,-10).

Therefore, the graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.

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What value of x makes the polygon below have the same perimeter?

Answers

Answer:

3

Step-by-step explanation:

2x+x+2+x+2+4x+1 = 4x+3x+2+2x

2x+x+x+4x + 2+2+1 = 4x+3x+2x+2

8x+ 5 = 9x + 2

5-2=9x-8x

x= 3

I hope im right!!

3 uyyyyyyyyyyyyyyyyyyyyyyyyy

Identify the number that does not belong with the other three. Explain your reasoning.

Answers

Answer:

To identify which integer does not belong with the rest, we must first evaluate each.

Step-by-step explanation:

[25.6...] is already evaluated. Therefore, let's move on to Integer b: [tex]\sqrt{x}[/tex], where is x is 48.

48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3√48 = [tex]\sqrt{2}[/tex] * 2 * 2 * 2 * 3We have 1 perfect sqaure: [tex]\sqrt{2}[/tex] * 2When we multiply, we receive 2.Therefore, 2 * [tex]\sqrt{2 * 3}[/tex]

When -51/2 is relatively prime, we receive -25 1/2

Finally, the last integer is already simplified.

Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.

HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

[tex]\sqrt{45} = \sqrt{3^{2} *5} = \sqrt{3^{2} } *\sqrt{5} = 3\sqrt{5}[/tex]

[tex]\sqrt{3^{2} }[/tex] that is 9 is a perfect square

can someone help me plz

Answers

Answer:

Farm c

Step-by-step explanation:

Farm C offers the lowest price for peaches at 70 cents per pound.

Which expression is equivalent to 2(7x-7)?

Answers

Multiply using the distributive property.

14 x − 14

Hope this helps you!

Answer:

14x-14

Step-by-step explanation:

2(7x-7)=14x-14

Find the area of the shaded polygon.

Answers

Answer:

8 square units

Step-by-step explanation:

Split the polygon into 3 triangles as pictured below

They have base and height:

4 and 3, 1 and 1, 3 and 1

Find the area of 3 triangles and add up:

A = 1/2bhA = 1/2*4*3 + 1/2*1*1 + 1/2*1*3 = 6 + 1/2 + 3/2 = 8 square units

Answer:

8

Step-by-step explanation:

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6. Triangle X Y Z is shown. The length of side X Y is m + 8, the length of side Y Z is 2 m + 3, the length of side Z X is m minus 3. Which is correct regarding the angles of the triangle? mAngleX < mAngleZ < mAngleY mAngleY < mAngleZ < mAngleX mAngleY < mAngleX < mAngleZ mAngleZ < mAngleY < mAngleX

Answers

Answer:

mAngleY < mAngleZ < mAngleX

Step-by-step explanation:

Since m ≥ 6

Let's assume m = 7

XY = m + 8 = 7 + 8 = 15

YZ = 2 m + 3 = 2(7) + 3 = 17

ZX = m - 3 = 7 - 3 = 4

When solved, the angles of the triangle are given below;

∠X = 113.58

∠Y = 12.45

∠Z = 53.97

Arranging in order;

∠Y <  ∠Z  <  ∠X

The correct option is;

mAngleY < mAngleZ < mAngleX

Answer:

B

Step-by-step explanation:

Trust the process

whats the answer to 4.8/Y = 17.9/3.2

Answers

Answer:

[tex]x[/tex] ≈ 0,858101

What is the measure of the missing angle?

Answers

Answer:

79 degrees

Step-by-step explanation:

You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79

Answer:

79

Step-by-step explanation:

28+73+x=180

a straight line is 180. That's how I got what it is equal to.

28+73= 101

101+x=180

subtract

180-101= 79

hope this helps!!

Pleas help me I need help really bad Which shows the given inequalities in slope-intercept
form?
Given the system of inequalities:
4x - 5y = 1
{y-x53
Oyster
y<2x + 6
oyz - 5
y< 2x + 6
O y2-*** }
y > 2x + 6

Answers

Answer:

the answer is B

Step-by-step explanation:

Hey i need help with this question. I need it to be solved and I need to see the length of the diagonal. Please put a proper answer or Branly will just take the points away from you. Thanks

Answers

Answer:

x = 40.25 m

Step-by-step explanation:

Use Pythagorean

x² = 36² + 18² x² =  1620x = √1620x = 40.25 m

Answer:

in right angled triangle BCD

by using Pythagoras law

P²+B²=H²

A²+B²=C²

36²+18²=x²

x=√1620=18√5m

x=18√5 m is your answer

Suppose you are fencing a rectangular dog pen. The pen is to be 15 feet long and 7 feet wide. How much fencing would you need?

Please I really do need the answer I’ll mark you as brainlie

Answers

Answer:

44 feet

Step-by-step explanation:

15 + 15 + 7 + 7 = 44

We can take all 4 sides and add them together to find the perimeter (aka how much fencing you need)

hope this helps :)

Answer:

Step-by-step explain to solve for the maximum area, the first derivative should be solved and equate it to zero, then solve for x.

A = 37x - x^2

dA / dx = 37 - 2x

equate dA / dx = 0

0 = 37 - 2x

2x = 37

x = 37 / 2

x = 18.5 ft

so the maximum area is  

A = 37x - x^2

A = 37( 18.5) - 18.5^2

A = 342.25 sq ft

so the answer is letter B

Last year, Rebecca's car insurance cost her £2043. This year it only cost her £1675.26 By what percentage has Rebecca's car insurance been reduced?

Answers

Answer:

Step-by-step explanation:

Rebecca's car insurance been reduced by 18%

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, Last year, Rebecca's car insurance cost her £2043. This year it only cost her £1675.26.

Percentage decrease = (Final value - initial value) / initial value × 100

Final value = £1675.26

Initial value = £2043

Percentage decrease = (2043 - 1675.26) / 2043 × 100

= 367.74 / 2043 × 100

= 0.18 × 100

= 18 %

Hence, Rebecca's car insurance been reduced by 18%

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The average of two numbers is 60 and their difference is 8. What are the numbers?

Answers

Answer:

68-78

Step-by-step explanation:

When u subtract 78 to 68 the difference is 8

SHOULD BE EASY I'M JUST STUP|D <3 ***WILL GIVE BRAINLIEST***
The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of $0.29 and a standard deviation of $0.1164. If a random sample of 50 tips from customers who buy one cup of coffee is selected, is it appropriate to calculate the probability of a sample mean being more than $0.32 using an approximately Normal model?

Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling distribution of x is not a concern, and P(x> 32) = 0.0372.

Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P(x>32) = 0.0372.

Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P(x> 32) = 0.3983.

No, it is not appropriate to estimate the probability using an approximately Normal model because the population is not Normal, and the sample size is not reasonably large.

Answers

Answer:

Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling distribution of x is not a concern, and P(x> 32) = 0.0372.

Hope it helps

Please mark me as the brainliest

Thank you

Please help I will give you brainliest

Answers

Answer:

34

Step-by-step explanation:

A triangle has the coordinates

A( 4, –1), B(3, –3), and C(0, 2).

Reflect the triangle over the y-axis and find the coordinates of its image.

A(4, −1) → A

B(3, −3) → B

C(0, 2) → C

Answers

Answer:

-1,-4

-3,3

-2,0

Step-by-step explanation:

hope this helps

A climbing team took 3 weeks to climb Mount Everest which is 29,028 feet high. If they climbed about the same distance each week, how many feet was the team able to climb each week?

Answers

Answer:

29028/3=9676ft

slope =-3, goes through the point (1, 2)

Answers

The equation for it is: y = -3x + 5

State whether or not each equation or situation represents direct variation.

Answers

give me time will think and say

Answer:

The new Yorker is a very different kind than the word

A racecar driver has a 0.05 probability of winning any given race in a season. There are 16 races in a season, and
whether or not the driver wins one race is independent of whether he wins any other race. Let X represent the number
of races the driver wins in the season.
Have the conditions for a binomial setting been met for this scenario?

Answers

Answer:

Yes, all four conditions in BINS have been met.

Step-by-step explanation:

Edge 2021

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