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Setler [38]
3 years ago
11

A woman drives an SUV that gets 11 ​mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every​ week, they travel the sam

e number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The correct solution is "(45.5>39) \ mpg". A further explanation is provided below.

Step-by-step explanation:

The above query seems to be incomplete. Below is the attachment of the complete question is attached.

Given that,

For SUV,

= 11 ​(mpg)

For hybrid ghost,

= 65 mpg

Now,

<u>Option 1</u>:

After tuning, the mileage of SUV will be:

= 11+2

= 13 \ mpg

Average mileage will be:

= \frac{13+65}{2}

= \frac{78}{2}

= 39 \ mpg

<u>Option 2</u>:

Given:

Mileage of new hybrid,

= 80 mpg

Now,

Average mileage will be:

= \frac{11+80}{2}

= \frac{91}{2}

= 45.5 \ mpg

Thus we can say that the second option gives better mpg as compared to the first one.

i.e.,

⇒  (45.5>39) \ mpg

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The speeds (in miles per hour) of motorists ticketed during one day on a five-mile stretch of highway are
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Answer:

19

Step-by-step explanation:

Range is solved by subtracting the lowest and highest numbers which int his case is 70 and 89 so that make 19

8 0
3 years ago
Nathan brought a pair of boots for $80 and 1 shirt for $20. the sales tax is 5%. how much did Nathan pay for all the items inclu
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He paid 103$ hope it helps
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3 years ago
Read 2 more answers
a cardboard box holds 31.25 cubic inches of creamy butter. The butter is molded into a square prism that is 5 inches long. How m
lesya [120]

Answer:

62.5 \:in^2

Step-by-step explanation:

Volume of the butter in the cardboard = 31.25 cubic inches

Length of the Molded Square Prism =5 Inches

Let the length of the square cross sectional area = x

Volume of the Prism=x^2l

Since l=5 Inches

5x^2=31.25\\x^2=6.25\\x=2.5\: Inches

Next, we determine the surface area of the New Cardboard box to be made.

Length of the Cardboard Box=5 Inches

Length of the square cross sectional area = 2.5 Inches

Total Surface Area=2(x^2+xl+xl)=2(x^2+2xl)

=2(2.5^2+2(2.5)(5))\\=2(6.25+25)\\=2*31.25\\=62.5 \:in^2

Therefore, 62.5 \:in^2 of cardboard is needed,

4 0
3 years ago
Jessica bought 10 pieces of candy at the store. She spent $8.60. How much did each piece of candy cost?
Tema [17]
$0.86. You either divide by 10 manually, or use the powers of 10.
8 0
3 years ago
Read 2 more answers
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes an
svet-max [94.6K]

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

5 0
3 years ago
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