Please Help! The graph relates the height of the water in a tank y (in inches) to the volume of the water x (in gallons).

A. Is the relationship proportional?

B. Write an equation of the line and interpret the slope.

C. What is the height of the water in the tank when the volume is 250 gallons?

The graph is attached.

Answer:

132 degrees

Step-by-step explanation:

This is because if you have a 90 degree angle than the angles connected to it will be equal

Answer:

9

Step-by-step explanation:

2x+3=3x-6

6+3 = 3x - 2x

x = 9

I hope im right!!

Answer:

4.66 or 14/3

Step-by-step explanation:

Area of a triangle is (base × height)/2. They have given you the height and the area already, so:

14 = ( b × 6 ) / 2

28 = b × 6

4.66 = b

The base of the triangle is B = 4.667 feet or 14/3 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle be represented as A

Now , the value of A is A = 14 feet²

Let the height of the triangle be H = 6 feet

Let the base of the triangle be B

And , area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

14 = ( 1/2 ) x 6 x B

On simplifying the equation , we get

14 = 3B

Divide by 3 on both sides of the equation , we get

B = 14/3 feet

Therefore , the base of the triangle is B = 4.667 feet

Hence , the base of triangle is 4.667 feet

To learn more about triangles click :

https://brainly.com/question/16739377

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7x+78 - 142=6x+73

7x-6x=73-78+142

×=137

so sam wrote

6x+73

822+73

=895 lines

hannah wrote

7x+78

959+78

1037

verify

1037

-895

= 142

hope it helps

Answer: 895

Step-by-step explanation: yeet and skurt

1. C. 49+17

2. B. 79+16

3. A. 24 X 32

4. C. 17 X 27

Answer:

oof thats hard

Step-by-step explanation:

Answer:

5/6 = 21/35

Step-by-step explanation:

I hope this helps. I'm not sure if its correct

Answer:

i would go with C my guy

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

First we need to find the length of each side: 176/4 = 44

Then multiply that by the scale factor = 11.

Answer:

PMDAS

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Since this triangle is a 90 degree angle, all you'd have to do is subtract 55 from 90 and you've got you answer.

Answer:

Its 28

Step-by-step explanation:

Q[tex]3[/tex] = [tex]\frac{3}{4}[/tex] (n+1)

Answer:

-2(x+5) is equivalent to -2x-10

1) The equation that has infinitely many solution is y = -8/11·x + 4

2) The equation of the graph that has no solution is y = -8/11·x + 1

3) The equation of the line that has only one solution is y = -1/4·x + 2

Step-by-step explanation:

1) The points on the graph are;

(0, 4), and (5.5, 0)

The slope of the line defined by the given two points, we have;

(0 - 4)/(5.5 - 0) = -40/55 = -8/11

the equation of the straight line graph in point and slope form, we have;

y - 4 = -8/11 × (x - 0)

y - 4 = -8/11·x

For the equation for the system that has infinitely many solution, we have;

y = -8/11·x + 4

2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;

An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal

Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;

y - 1 = -8/11 × (x - 0)

y - 1 = -8/11·x

The equation of the graph that has no solution is therefore;

y = -8/11·x + 1

3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;

The slope of the graph is (1 - 2)/(4 - 0) = -1/4

The equation of the line that has only one solution with the system in point and slope form is given as follows;

y - 2 = -1/4×(x - 0)

y - 2 = -1/4·x

The equation of the line that has only one solution in standard form is therefore;

y = -1/4·x + 2

The second equation for the system so it has infinitely many solutions is [tex]y=-\dfrac{3}{4}x+1[/tex] and the second equation whose graph goes through (0,2) so the system has one solution at (4,1) is [tex]\rm y = -\dfrac{1}{4}x+2[/tex] and this can be determined by using the point-slope form of the line.

Given :

The graph of the line that passes through the points (4,1) and (0,4).

The equation of the line that passes through the points (4,1) and (0,4) is given by:

[tex]\dfrac{y-1}{x-4}=\dfrac{4-1}{0-4}[/tex]

Cross multiply in the above equation.

-4(y - 1) = 3(x - 4)

-4y + 4 = 3x - 12

3x + 4y = 16

[tex]\rm y = 4-\dfrac{3x}{4}[/tex]   --- (1)

a) The second equation for the system so it has infinitely many solutions is given by:

Multiply equation (1) by 2 in order to determine the second equation.

[tex]\rm 2\times \left(y = 4-\dfrac{3x}{4}\right)[/tex]

[tex]\rm 2y = 8 - \dfrac{3x}{2}[/tex]

b) The second equation that passes through (0,1) and has a slope of -3/4 is given by:

[tex](y-1)=-\dfrac{3}{4}(x)[/tex]

[tex]y=-\dfrac{3}{4}x+1[/tex]

c) The second equation whose graph goes through (0,2) so the system has one solution at (4,1) is given by:

[tex]\dfrac{y - 2}{x-0}=\dfrac{1-2}{4-0}[/tex]

Cross multiply in the above equation.

4(y - 2) = -1(x)

4y - 8 = -x

[tex]\rm y = -\dfrac{1}{4}x+2[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2263981

Answer:80 meters

Step-by-step explanation: 24 meters = 36 secs

2 mins = 120 secs

Cross multiply

24×120/36

= 80 meters

Hope I helped you!!

I only solved Option A in this answer, I think you needed to do both. You can do Option B in the same way!

2.

(a) You're supposed to find the pattern here. Use the slope-intercept form of the equation of a line. y=mx+b. In this situation, x is the week, and y is the amount paid. If you wanted, you could use whichever variables you wanted, of course. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0. (The y-intercept doesn't really make sense in this situation, but we'll get to that later.) You can use the formula m=(y2-y1)/(x2-x1). (x1,y1) and (x2,y2) are the input/output pairs. The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1. Because of this, you can just subtract the values and find out the slope is 50/week. After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week, then you should be able to work backwards. 200-50=150

Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.

Your work would probably look something like:

m=(y2-y1)/(x2-x1)

(x1,y1)=(1,200)

(x2,y2)=(2,250)

m=(250-200)/(2-1)

  =50/1

  =50

y=50x+b

200=50(1)+b

200=50+b

b=200-50

 =150

y=50x+150

(b) If I understand the question correctly, you have to show two instances that prove that your rule work. Just pick any two weeks, like weeks 3 and 4 and show how the rule is correct.

y=50x+150

x=3

y=50(3)+150

 =150+150

 =300

(This is the same value that's in the chart, which proves that the rule works. Do the same thing with another week.)

3.

(a) The rules are functions because each input has only one output. You can test this out, it's true.

(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Aditionally, there are only data points at the integer values of x. Look at part c.

(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.

I hope this helps!! This is my first time answering a question on here.

Answer:

I think it might be 1 cup because I added all of the water which was 3 cups and divided it by 3 which is 1

Answer:

The answer is 1 cups

Step-by-step explanation:

Answer:

where the actually question at?

Step-by-step explanation:

Answer:

I think 157 pavers

Step-by-step explanation:

I may be able to help with number 10, if the trees are to be decorated with a ring of decorative pavers then we have to find the circumference, if the radius is 5 then using the circumference formula, 2×3.14(pi)×the radius, you'll get 31.4 and since there is 5 trees to be decorated then multiply 31.4 times 5 which will give you 157 feet of pavers to surround all five trees. I apologize if it is incorrect.

Answer:

23-27 students makes up the popuation of the 5-6%

Step-by-step explanation:

450*.05= 22.5

450*.06= 27

Answer:

sorry

Step-by-step explanation:

Answer:

search it up there is a lesson

Step-by-step explanation:

Answer:

5 pencils.

Step-by-step explanation:

I divided 10 by 2.