Ask question

Ask question

All categories

3 years ago

8

On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas. On the return trip she traveled 235 miles on 8 g

allons of gas. How many miles per gallon did Julie get on the way there?

1 answer:

Tamiku [17]3 years ago

5 0

Julie travelled with 30.5 miler per gallon.

<u>SOLUTION: </u>

Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.

On the return trip she traveled 235 miles on 8 gallons of gas.

We have to find how many miles per gallon did Julie get on the way there?

We know that,

$\text { number of miles per gallon }=\frac{\text { total distance travelled }}{\text { total number of gallons }}$

Substituting the values we get,

$=\frac{192+235}{8+6}=\frac{427}{14}=30.5 \text { miles per gallon }$

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.

You might be interested in

The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what

____ [38]

The problem consists in finding the new length of a running trail knowing the original length and the extension required. So the new length will be equal to original length + extension. New length = 2.826 miles + 1.46 miles = 2.826 miles + 1. 460 miles (I added a 0 in the place of the thousandths for the second summand to make clear the sumation) = 4.286 miles. Then<span> the answer is 4.286 miles.</span>

3 0

3 years ago

Can someone please help with my math homework? this is so confusing.

nexus9112 [7]

Hi there friend, your answer for perimeter is 18.

I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

4 0

3 years ago

Which equation best matches the graph shown below?

n200080 [17]

Answer:

y= 0.2(x+1)^2+5 (Bottom left answer)

Step-by-step explanation:

Hope this helps :)

6 0

2 years ago

50 PTS ANSWER ALL <3333333

11Alexandr11 [23.1K]

QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

${h}^{2} = {6}^{2} + {8}^{2}$

${h}^{2} = 36+ 64$

${h}^{2} = 100$

$h = \sqrt{100}$

$h = 10cm$

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

${l}^{2} + {33}^{2} = {55}^{2}$

${l}^{2} = {55}^{2} - {33}^{2}$

${l}^{2} = 1936$

$l = \sqrt{1936}$

$l = 44cm$

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values to get,

$d=\sqrt{( - 1-2)^2+(3- - 1)^2}$

$d=\sqrt{( - 3)^2+(4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d = 5$

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

$d=\sqrt{( - 3-2)^2+( - 3- 2)^2}$

$d=\sqrt{( - 5)^2+( - 5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

Answer: D

8 0

3 years ago

Read 2 more answers

A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.

Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2 inches

Now from r/R=h/H

we have to write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 π $r^{2} h$

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+( $r^{2}$ *dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

#SPJ4

5 0

2 years ago