Find the missing geometric means in this sequence.

Vehicle A has a 22-gallon fuel tank and averages 20 miles per gallon. Vehicle B has a 16.7-gallon fuel tank and averages 30 mile

grin007 [14]

Both vehicles will never have the same amount of fuel in their tanks

<h3>In how many miles will both vehicles have the same amount of fuel in their tanks?</h3>

The given parameters are:

Vehicle A

Initial = 22-gallon

Rate = 20 miles per gallon

Vehicle B

Initial = 16.7-gallon

Rate = 30 miles per gallon

The equation of each vehicle is represented as;

Fuel = Initial - Rate * Number of miles

So, we have

y = 22 - 20x --- A

y = 16.7 - 30x --- B

Substitute y = 16.7 - 30x in y = 22 - 20x

16.7 - 30x = 22 - 20x

Collect the like terms

30x - 20x = 16.7 - 22

Evaluate the difference

10x = -5.3

Divide by 10

x = -0.53

Distance cannot be negative

Hence, both vehicles will never have the same amount of fuel in their tanks

Read more about linear equations at:

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7 0

1 year ago

Fund Raising. Suppose you have signed up for a bike-a-thon to raise money for charity. One person is sponsoring you at a rate of

soldi70 [24.7K]

Answer:

The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

After 30 miles all the sponsors donate the same amount.

Step-by-step explanation:

Given:

Amount of donated by each of the other sponsors = $15

Amount donating by one person per mile = $0.5

We need to write the system of equation to model the donation d for m miles biked.

Also We need to find the number of miles all sponsors donate the same amount.

Solution:

Let the amount donated be denoted by 'd'.

Let number of miles biked be denoted by 'm'.

Now we know that;

Amount of donated by each of the other sponsors = $15

so we can say that;

$d=15$

Also We know that;

Amount donating by one person per mile = $0.5

So we can say that;

$d=0.5m$

Hence The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

Now to find the number of miles when all the sponsors donate the same amount we will make both the equation equal we get;

$0.5m=15$

Dividing both side by 0.5 we get;

$\frac{0.5m}{0.5}=\frac{15}{0.5}\\\\m=30\ miles$

Hence After 30 miles all the sponsors donate the same amount.

8 0

3 years ago

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Anni [7]

Answer:

180- $x^{2}$

Step-by-step explanation:

7 0

3 years ago

S = R-rR solve for R

katrin2010 [14]

Answer:

R = -S - rR

Step-by-step explanation:

S = R - rR

R = -S - rR

3 0

2 years ago

Read 2 more answers

How do you divide 3.36/1.4?

ahrayia [7]

Answer:

move the decimal in 1.4 two places two the right and do the same with 3.36 then divide

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers