Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?

Given:

The equation of a circle is:

[tex](x-3)^2+y^2=32[/tex]

To find:

Center and the circumference of the circle.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]         ...(i)

Where, (h,k) is center and r is the radius.

We have,

[tex](x-3)^2+y^2=32[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]h=3,y=0,r=\sqrt{32}[/tex]

So, the center of the circle is (3,0) and the radius of the circle is [tex]\sqrt{32}[/tex].

Now, the circumference of the circle is:

[tex]C=2\pi r[/tex]

[tex]C=2(3.14)(\sqrt{32})[/tex]

[tex]C=35.525045[/tex]

[tex]C\approx 35.5[/tex]

Therefore, the circumference of the circle is about 35.5 units.

Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-2}{2-(-2)}[/tex]

[tex]m=\dfrac{3}{2+2}[/tex]

[tex]m=\dfrac{3}{4}[/tex]

Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].

Answer:

-10 3/4

Step-by-step explanation:

I think it's that

Answer:

-10 3/4:)

Step-by-step explanation:

Answer:

1 1/4 or 5/4

Step-by-step explanation:

one is simplified just in case

Answer:

1/1024

Step-by-step explanation:

If you want the steps, just ask and ill give them in comments :)

Hope this helped!

If so, can you mark brainiest!

Thanks!

Have a great day!

kkAnswer:

jkkjj

Step-by-step explanation:

answer

= 10 and a dead body

ANSWER:10 apples and a ded body

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

Answer:

Step-by-step explanation:

The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.

Answer:

10

Step-by-step explanation:

12 x 2 = 24

2 x 2 = 4

10 x 2 = 20

20 + 4 = 24

I hope this helps!

Answer:

true

Step-by-step explanation:

Answer:

true. you should

Step-by-step explanation:

Answer:

It is a function.

Step-by-step explanation:

In a function, each input exists one unique output. In this case, this is a function because each input isn't assigned to multiple outputs, therefore y is a function of x.

Answer: 25

Step-by-step explanation: Divide the value of people by  12. ( mystery )

Answer:90

Step-by-step explanation:every 40 people there is 12 pwople who like mystery so you then up intill you cant no more so you will have 280 so you can add 12 any more but think again 20 people qquals to 6 mysery so if you add all of it together you will get 90

Answer:

1. 11x +11

3. 4x - 16

5. 4x + 14

2. -9x + 16

4. x

6. 18x - 15

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

all you have to do is add all the sides together .

Answer:

Midpoint of AB              = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)

x coordinate of point c = a

                                  N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)

                                  M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)

                                MA = √(3a / 2 - 0)² + b / 2 - 0)²

                                       = √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4

                                NB = √(a / 2 - 2a)² + (b / 2 - 0 )²

                                      = √( a / 2 - 4a / 2)² + (b / 2 - 0)²

                                      = √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4

Step-by-step explanation:

I tried my best hope its correct :0

Answer:

n = 945 / 135

Step-by-step explanation:

n = total seats / number of seat in each section

n = 945 / 135

n = 7

Answer:

12.54

Step-by-step explanation:

just multiply 12×0.045 and add the 12.

I hope and this helps.

Have a good day.

Good luck

-1/2 -3/6 -2/6 -1/3 -1/6 1/6 1/3 2/6 3/6 1/2

Answer:

120

Step-by-step explanation:

4x, 7x, 9x

9x=54

we need to find 4x+7x+9x

9x=54⇒x=6

4x+7x+9x=20x=20×6=120

Answer:

120 sweets

Step-by-step explanation:

4:7:9

Total Parts = 4+7+9=20

Oldest(9)= 9/20

9/20P= 54 Sweets

Total Sweets = 54/ (9/20) =120

Answer:

I assume you meant 4x^2

So the answer in simplified form is -4x^2-11x+3

Answer:

C. 11

I hope it's right and helpful

Answer:

c 11

Step-by-step explanation:

c 20 hg ch gggggghubydyh

Answer:

She paid a deposit of $315, a title fee of $65, and a license fee of $120. At the end of the lease, she can buy the van for its residual value of $3,850

315+120=435= 3,850➗ 65= 59.2307692308

59.2

Step-by-step explanation:

brainliest?

Answer:

2.3 hours per week

Step-by-step explanation:

answers

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

Answer:

JK = 8

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the measures of the parts of one chord is equal to the product of the measures of the other chord, that is

x(x + 4) = (x + 1)(x + 2) ← expand parenthesis

x² + 4x = x² + 3x + 2 ( subtract x² + 3x from both sides )

x = 2

Then

JK = x + 4 + x = 2x + 4 = 2(2) + 4 = 4 + 4 = 8

Answer:

576 in. (the first one)

Step-by-step explanation:

Answer:

264

Step-by-step explanation:

Area= 1/2•b•h

=2(1/2)(b)(h)+3(b)(h)

=2(1/2)(6)(4)+3(16)(5)

=264

Answer:

Volume measured in cups (c) vs. the same volume measured in ounces (z)