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3 years ago

15

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline.

What is the unit rate for miles per gallon for the blue car?
Help pls
Brainlist

1 answer:

harkovskaia [24]3 years ago

3 0

Answer:

30.8 miles per gallon

Explanation:

1.25 = 38.5

Divide both sides by 1.25

1 = 30.8

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If Dr. Suzuki rides his bike to his office, he averages 9 miles per hour. If he drives his car, he averages 27 miles per hour.

Helen [10]

Speed
Riding speed = 9 mph
Driving speed = 27 mph

Time
If x hours is the time taken when riding, (x - 1/3) hours is the time taken when driving.

Distance in both instances is the same, D= Speed * time

Therefore,
9*x = 27(x-1/3)
9x = 27x - 27/2
9x = 27x - 9
(9-27)x = -9
-18x = -9
x = 9/18 = 1/2 hours

Distance, D = 1/2 *9 = 4.5 miles

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3 years ago

Francesca is looking at an airplane. She measures the angle at which she is looking up and finds it to be 55 degrees. If the air

lions [1.4K]

<h2>Answer:</h2>

Option: B is the correct answer.

B. 36,623 feet

<h2>Step-by-step explanation:</h2>

The angle of elevation is: 55 degree

We model this problem by taking a right angled triangle such that the side opposite to the 55 degree is of length 30000 feet.

Now let us consider x denote the distance of the plane from Francesa.

i.e. x denote the hypotenuse of the right angled triangle.

Hence, in right angled triangle i.e. ΔABC we have:

$\sin 55=\dfrac{30000}{x}\\\\i.e.\\\\x=\dfrac{30000}{\sin 55}\\\\i.e.\\\\x=\dfrac{30000}{0.81915}\\\\\\i.e.\\\\\\x=36623.2376\ feet$

Round to the nearest feet we get: x=36,623 feet

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3 years ago

Read 2 more answers

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ra1l [238]

-9 is the answer to this equation

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3 years ago

What is 5/12 of 2/5 i need help

Marianna [84]

Answer:10/60

If need to simply it is 1/6.

Step-by-step explanation: Mutiply 5/12 by 2/5 .

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3 years ago

The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.

NeTakaya

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that $m = \frac{3}{4}$ , and thus:

$y = \frac{3}{4}x + b$

(6,3)

This means that when $x = 6, y = 3$ . We use this to find b. So

$y = \frac{3}{4}x + b$

$3 = \frac{3}{4}(6) + b$

$b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}$

So

$y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}$

(-6, r)

r is y when $x = -6$ . So

$y = \frac{3(-6) - 6}{4} = -6$

So r = -6.

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3 years ago