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Westkost [7]
3 years ago
9

Karl set out to Alaska on his truck. The amount of fuel remaining in the truck's tank (in liters) as a function of distance driv

en (in kilometers) is graphed.
What distance did Karl travel by the time he had 200 liters of fuel?

_____ kilometers​

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

500 kilometers

Step-by-step explanation:

The fuel (y) Karl has in his car is a function of the distance (x) Karl travelled. The amount of fuel (y) is dependent on the distance (x) Karl travelled.

On the y-axis, we have amount of fuel.

On the x-axis, we have distance travelled.

At the time Karl travelled when he had 200 liters of fuel (y) remaining in his car, he had travelled a distance (x) of 500 kilometers.

We know this by looking at the graph given. When x (distance) = 500, y (fuel) = 200.

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Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.18 cm and a height of 6
nordsb [41]

First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3

V = Pie * radius squared* height.

Pie is 3.142

radius is 6.18/2 = 3.09 cm

height is 6cm

V = 3.142 * 3.09 * 3.09 * 6

V = 180cm3

Now we divide the volume of this cylinder with the volume of block of gold.

360/180 = 2

So it will take 2 cylinders to mold one block of gold.

6 0
3 years ago
A wooden 8x2 + 40x + 32 feet was cut into pieces of length x2 + 5x + 4 feet. How many cuts were made?​
tino4ka555 [31]

Answer:

8 pieces were obtained.

7 cuts made.

Step-by-step explanation:

(8x2 + 40x + 32) /  (x2 + 5x + 4)

= 8.

6 0
2 years ago
Chapter 1: Quadrati
Bad White [126]

Answer:

mid point of AB (0.5 , 0)

Step-by-step explanation:

2x + 5y = 1      2x = 1 - 5y

y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5

y-y = y - 5y² + 5 - y = - 5y² + 5

0 = - 5y² + 5

5y² = 5

y² = 1

y = 1 or y = -1

if y = 1       x = 1/2 (1 - 5) = -2   .... point A (-2 , 1)

if y = -1      x = 1/2 (1 + 5) = 3   ..... point B (3 , -1)

mid point of AB (x' , y') :  x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2

                                        y' =  1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0    

8 0
3 years ago
Find the value of x. Round your answer to the nearest tenth. Show your work please!
artcher [175]
180=11+2x
-11 -11
169/2=2x\2
x=84.5
3 0
3 years ago
If the perimeter of a rectangular picture frame must be less than 180 in, and the width is 26 in, what must the height h of the
valentinak56 [21]
You would form this inequality:

52 + 2x < (or equal to) 180

Then, solve as you would in an ordinary equation.

Subtract 52 from both sides of the sign. 180 - 52 = 128.

So, 2x is less than or equal to 128.
Divide 128 into two to get 64.

The height of the frame must be 64 inches.
4 0
3 years ago
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