PLEASE HELP A hot tub filled with 440 gallons of water is being

drained. After 1.5 hours, the amount of water had

decreased to 320 gallons.

The initial amount of water in the hot tub was

440 gallons, so (0, 440) is on the line.

After 1.5 hours, the amount of water had decreased

to 320 gallons, so (1.5, 320) is on the line.

Answers

Answer 1

Answer:

The slope of the line, m=-80 and

The equation of the line is, [tex]y=-80+440[/tex]

Step-by-step explanation:

Given that initially the hot tub is filled with 440 gallons of water.

So, at time t=0, the amount of water = 440 gallons.

Further, after 1.5 hours, the amount of water had  decreased to 320 gallons.

So, at time t=1.5 hours, the amount of water = 320 gallons.

The point (0,440) and (1.5, 320) are on the line.

So, the slope, m, of the line is

[tex]m=\frac{440-320}{0-1.5}=-\frac{120}{1.5}=-80[/tex]

The equation of the line is

[tex]y-440=-80(x-0) \\\\\Rightarrow y-440=-80x \\\\\Rightarrow y=-80x+440[/tex]

Hence, the slope of the line, m=-80 and the equation of the line is, [tex]y=-80+440[/tex].


Related Questions

What is the common difference of the arithmetic sequence? 2,5,8,11,14...

Answers

The common difference is 3.

14-11=3

11-8=3

8-5=3

5-2=3

You can see here that the difference between two consecutive numbers in this sequence are all 3.

i’m gonna say the common difference is 3...
difference = 3
i hope that’s correct!!!

8
Describe the error in the work shown.
62+ 3+5 x 2
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36 + 16
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Answer:

75

Step-by-step explanation:

you should've done 2 times 5 first but you have done 3+5 first.

PLEASE ANSWER ASAAP TODAY WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
This graph shows the temperature on a winter night over time.



How many °F does the temperature decrease by every 1 hr?



Enter your answer in the box.


____ °F

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the temperature decreases 5°F every hour
The temperature decreases 5 degrees every hour.

Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. if the side length of Square P is 3.5 inches, what is the perimeter of Square Q?

Answers

Answer:

3.5 sq

Step-by-step explanation:

Answer:

49 inches

Step-by-step explanation:

Perimeter of square Q is 49 inches.

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

x\y = 2\7

Also it is given that x=3.5 inches. Hence

3.5/y = 2/7

∴ y=12.25 inches.

Perimeter of square Q is 4y = 4 × 12.25 = 49 inches

Just need some help

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Step-by-step explanation:

D

a triangle is 180°

180-126= 54

Now you have:

56+54+X=180

110+X=180

-110 -110

X=70

Answer:

70 wanna know why add the sides then divide

Step-by-step explanation:

find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12​

Answers

Answer:

The measures of the acute angles are 38 and 52 degrees.

Step-by-step explanation:

In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].

[tex]a + b +90 = 180[/tex]

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

[tex]a = 2(b-12)[/tex]

Now we have two equations. If we simplify them, we get these:

[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]

Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation

[tex]90-b=2b-24[/tex]

Add [tex]b[/tex] to both sides of the equation

[tex]90 = 3b-24[/tex]

Add [tex]24[/tex] to both sides

[tex]114 = 3b[/tex]

Divide both sides by 3

[tex]38 = b[/tex]

Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.

[tex]a = 90-38[/tex]

[tex]a=52[/tex]

Therefore,

[tex]a=52[/tex], and [tex]b=38[/tex]

Don't forget to like and make it the brainliest!

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

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Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

What the question¿?¿

Write the slope-intercept form of the equation of the line through (-2, 4) with a slope of -4
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y = -4x - 4
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Answers

The answer is y= -4x+4

The machine can produce 168 leaflets in 8 minutes. How many can it produce in an hour

Answers

Answer:

1260

Step-by-step explanation:

168 ÷ 8= 21

21 x 60 = 1260

Have a good day can I get a brainiest if right please? :3 Byeee!

I need help ASAP!!
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Answer:

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Step-by-step explanation:

Solve the system if equations by substitution
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here is the work! hope it helps

Multiply. What is the value of the second partial product?

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Answers

Answer:

Below

Step-by-step explanation:

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List three different combinations of coins, each with a value of 30% of a dollar.

Answers

- 3 dimes
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PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?

Answers

Answer:

the area of a regular hexagon is A=(3√3/2)a², a is the side length.

so A=(3√3/2)*5.2²=70.25

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Step-by-step explanation: Hope this helps:)

Answer:

3

Step-by-step explanation: Hope this help u

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Answer:

I looks like it's A. Hope I helped!

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Answers

Answer:

77 red marbles

Step-by-step explanation:

the bag has R and B marbles

P(B)=1/12 = number of blue /total number of marbles

so 1/12=?/84

in the bag must be 84/12=7 marbles that are blue

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Answers

The product of 5 and 2/3 is 5.6666

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If 2 is divided into pieces that are each 1/7 of a whole, how many pieces are there?

Answers

Answer:

There are 14 pieces in 2 wholes.

Step-by-step explanation:

In order to solve this question we need to understand that "a whole" is another way of saying 1. So then this question askes the following, "How much does  [tex]\frac{1}{7}[/tex] fit into 2. In order to find that out we just have to divide 2 by [tex]\frac{1}{7}[/tex] and so we get.....

2 /  [tex]\frac{1}{7}[/tex] = 14

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solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

x ≥ 15/2 im pretty sure

Step-by-step explanation:

reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.

Round 431,857 to the nearest ten thousand

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Answer:

i don' think you can

Step-by-step explanation:

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for brainliest

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Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

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Step-by-step explanation:

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Answers

Answer:

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(x,y)

Answer:

4 :)

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What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?

Answers

Answer:

-7=11*-8+b

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Answer:

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At the book store, you purchased some $3 clearance mystery books and $8
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Answers

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

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For $7.90, you purchased 8 items (pens and highlighters) from a local bookstore. Each highlighter cost $1.09 and each pen cost $.68. Write a system of equations that can be used to find how many of each you bought.

A. 8p+8h=7.90 and 1.09+.68h=7.90

B. h+p=8 and .68h+ 1.09p=7.90

C. p+h=7.90 and .68p+1.09h=8

D. h+p= and 1.09h+.68=7.90

Answers

Answer:

D, i believe it should be h+p=8 and 1.09h + 0.68p = 7.90

Step-by-step explanation:

purchased 8 items in total; therefore, h+p=8

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A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the​ student's estimate​ off?

Answers

Answer:

20%

hope it helps!

please mark me brainliest

Merry Christmas

Good day

What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE

Answers

Answer:

150%

Step-by-step explanation:

% change = change/original x 100

45-18 = 27

27/18 x 100 = 150

The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.

How to Calculate the Percent of Change?

To calculate the percent of change when 18 is increased to 45, we can use the formula:

Percent of change = ((New value - Initial value) / Initial value) * 100

Let's plug in the values and calculate the percent of change:

Percent of change = ((45 - 18) / 18) * 100

Percent of change = (27 / 18) * 100

Percent of change = 1.5 * 100

Percent of change = 150

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Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm

Answers

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

0.56 divided by 9. I'm just wondering so I can answer my sister

Answers

Answer:

0.062 or in fraction form 14/225

Step-by-step explanation:

Answer:

0.062222222

Step-by-step explanation:

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