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iVinArrow [24]
3 years ago
11

You are running a fuel economy study. One of the cars you find is blue. can travel 35 1/2 miles on 1 1/4 gallons of gasoline. An

other car is red. It can travel 27 1/5 miles on 4/5 gallons of gasoline.
1) What is the unit rate for miles per gallon for the blue car?

2) What is the unit rate for miles per gallon for the red car?

3) Which car could travel the greater distance on 1 gallon of gasoline?
Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

We have the following information:

  • <em>Blue car:</em>

<em>Travels 35 1/2 miles on 1 1/4 gallons of gasoline</em>

  • <em>Red car:</em>

<em>Travels 27 1/5 miles on 4/5 gallons of gasoline</em>

<em />

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

  • Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

  • Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline

kirza4 [7]3 years ago
8 0
Blue car :
(35 1/2) / (1 1/4) =
(71/2) / (5/4) =
71/2 * 4/5 =
142/5 =
28.4 miles per gallon <=== unit rate for blue

red car : 
(27 1/5) / (4/5) =
(136/5) / (4/5) =
136/5 * 5/4 =
136/4 =
34 miles per gallon <=== unit rate for red

so the red car can travel a greater distance on 1 gallon

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A box of tissues is shaped like a rectangular prism. The box has a base of 36 square inches and a height of 4 inches.
Alex

Answer;

144 in³

Step-by-step explanation:

Base; 36 square inches (Length x Width)

Height; 4 inches

Multiply 36 square inches by 4 inches= volume of box

8 0
3 years ago
Read 2 more answers
Please help me- AND PLEASE EXPLAIN
GuDViN [60]

Answer:

A=35, B=55, and C=25

Step-by-step explanation:

Angle A and the angle next to it are linear pairs, so you can subtract 145 from 180.

if you already know Angle A, and that the other angle is 90 degress, you can add 90+35 and subtract it from 180 to get Angle B

Angle C is paired with the angle across from it (I forgot what the term is called) so it is 25 degrees.

7 0
3 years ago
Heights for women are bell-shaped with a mean of 65 inches and standard deviation of 2.5 inches. If a random sample of 16 women
loris [4]

Answer:

μ= 65 inches; σ= 0.625 inch

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed(bell-shaped) random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 65, \sigma = 2.5

By the central limit theorem, the sample of 16 will have:

\mu = 65, \sigma = \frac{2.5}{\sqrt{16}} = 0.625

So the correct answer is:

μ= 65 inches; σ= 0.625 inch

8 0
3 years ago
I’ll give Brainliest!!
Gnoma [55]
Answer: 1.5

Step-by-step explanation: The difference between the 2nd And 4th is 7. Divide by 2 to get 3.5. Add 3.5 to f(2) to getf(3)
The difference between f(1) and f(2) will be 3.5 and that's 5-3.5 =1.5
F(5) is 15.5 f(6) is 19

7 0
2 years ago
The area of a rectangle is 72 cm2. State the dimensions of the rectangle with the least perimeter. Calculate the perimeter.
Nitella [24]
We know that
<span>Of all the rectangles having same area, square has the least perimeter
</span>
area of square=x²
where
x is the length side of the square
A=72 cm²
72=x²
x=√72-----> x=6√2 cm

Perimeter of square=4*x------> 4*(6√2)-----> P=24√2 cm
P=33.94 cm

the answer is
the perimeter is equal to 24√2 cm or 33.94 cm

5 0
3 years ago
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