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balandron [24]
2 years ago
10

David drives 168 miles a week for work. He fills his gas tank twice a week. Each fill up is for 12 gallons. Assuming he uses all

of the gas each week and only uses the car to travel to and from work, what is the gas mileage of his car? (Gas mileage = miles/gallons)
Mathematics
2 answers:
nataly862011 [7]2 years ago
5 0

Answer:

David's car gives mileage 7 miles per gallon

Step-by-step explanation:

David drives in a week = 168 miles.

He fills his gas tank twice a week, each fill up is for 12 gallons = 12 × 2 = 24 gallon per week

To calculate the mileage of David's car we use the formula

Gas mileage = \frac{\text{total miles}}{\text{gallons of fuel}}

= \frac{168}{24}

= 7 miles per gallon

David's car gives mileage 7 miles per gallon

hammer [34]2 years ago
3 0
If you knew how to divide, you could answer this problem.
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An employee who earned $550 a week working 35 hours had her pay increased by 5 percent. Later, her hours were reduced to 30 per
Taya2010 [7]

Answer:

  $495

Step-by-step explanation:

After the 5% raise, her weekly pay was ...

  $550 × 1.05 = $577.50

If she works 35 hours for that pay, her hourly rate is

  $577.50/35 = $16.50

Then, working 30 hours, her weekly pay will be ...

  30 × $16.50 = $495.00

3 0
2 years ago
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy
Paul [167]

Answer:

Im as confused as you are

7 0
2 years ago
Read 2 more answers
A rectangular area is formed having a perimeter of 40 cm. Determine the length and breadth of the rectangle if it is to enclose
Vilka [71]

Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have

2(x+y)=40 \iff x+y=20

We can expression one variable in terms of the others as

x+y=20 \iff x=20-y

Since the area is the product of the dimensions, we have

xy=(20-y)y=-y^2+20y

This is a parabola facing down, so it's vertex is the maximum:

f(y)=-y^2+20y \implies f'(y)=-2y+20

So, the maximum is

f'(y)=0 \iff -2y+20=0 \iff 2y=20 \iff y=10

And since we know that x+y=20, we have x=10 as well.

This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.

5 0
2 years ago
Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
lianna [129]

Answer:

<h2><em>B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>2(b)+2(3c)</em></h2>

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

=  2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>

6 0
2 years ago
Frank has X stamps and Chris has 8 more than 7 times the number of stamps Frank has. How many stamps do Frank and Chris have in
Rufina [12.5K]
I believe the correct answer is D. 8x+8;
Because Frank has X and Chris has 8 + 7x (7 times Frank's number) and adding Frank's number (x) to 8 + 7x makes it 8 + 8x.

Hope I could help!
5 0
2 years ago
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