Ask question

Ask question

All categories

Mekhanik [1.2K]

3 years ago

15

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k) she can drive with 12 li

ters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 12 liters of fuel?

2 answers:

masya89 [10]3 years ago

7 0

Answer:

132 kilometers

Step-by-step explanation:

Given: Pamela drove her car 99 kilometers and used 9 liters of fuel.

To find: Number of kilometers Pamela drove in 12 liters of fuel.

Solution:

It is given that Pamela drove her car 99 kilometers and used 9 liters of fuel. Also the relationship between kilometers and fuel is proportional.

So, let us assume that she can travel x kilometers in 12 liters of fuel.

By proportionality we have,

$99:9 :: x:12$

$\frac{99}{9} =\frac{x}{12}$

$11=\frac{x}{12}$

$x=12\times11$

$x=132$

Hence, she can travel 132 kilometers in 12 liters of petrol.

NNADVOKAT [17]3 years ago

7 0

Answer:

132 km on 12 liters.

Step-by-step explanation:

Just set up the proportion.

99 km : 9 liters :: x : 12 liters. Change this to an equation.

99/ 9 = x/12 Divide the left

11 = x / 12 Multiply both sides by 12

11 * 12 = x/12 *12 Combine the left and cancel the right.

132 = x

She can drive 132 km on 12 liters.

You might be interested in

A raised flower bed is 25 feet long, 8 feet wide, and 1.5 feet deep. Find the area of the bed and the volume of soild it holds.

AnnZ [28]

The surface area of the raised flower bed is 499 feet. The volume of the solid it holds is 300.

4 0

3 years ago

Read 2 more answers

Simplify #53: 3(x + 2) - 4x<br><br><br><br> Help please

labwork [276]

Answer:

-x+6

Step-by-step explanation:

3(x+2)-4x

3x+6-4x

-x+6

8 0

2 years ago

Solve the equation 4-2(x+7)=3(x+5) =

kumpel [21]

Hi there!

To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)

Let us solve your equation step-by-step.

Step 1) Simplify both sides of the equation.

To simplify this, we will...

4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)

4 + - 2x + - 14 = 3x + 15

(-2x) + (4 + - 14) = 3x + 15

Now, we combine Like Terms...

-2x + - 10 = 3x + 15

-2x - 10 = 3x + 15

Fwew! That was probably going to be the longest step here!

Step 2) Subtract 3x from both sides.

- 2x - 10 - 3x = 3x + 15 - 3x

- 5x - 10 = 15

Step 3) Add 10 to both sides.

- 5x - 10 + 10 = 15 + 10

- 5x = 25

Step 4) Divide both sides by -5.

-5x/-5 = 25/-5

So, our final answer is x = -5.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

8 0

2 years ago

Read 2 more answers

I'll give u brianliest if you share the answer and how you got it

Bogdan [553]

Answer:a is 52 b is 65

Step-by-step explanation:

a:Write 65% as 65100.

65100 of 80 = 65100 × 80.

Therefore, the answer is 52. If you are using a calculator, simply enter 65÷100×80 which will give you 52 as the answer.

b: it is 65 because it is the same question but in reverse which still gives you the same answer.

Hope this helps

please give brainlyist

6 0

2 years ago

Read 2 more answers

If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers