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John drove 450 miles in 8 hours. he averaged 50 miles per hour on the highway and 60 miles per hour on the turnpike. how many ho

Alexeev081 [22]

Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.

3 0

3 years ago

What is 4 and 7 least common denominator

Yuki888 [10]

The least common denominator is 1.

5 0

2 years ago

Read 2 more answers

There are two pizzas Conor ate 1/4 Brandon ate 2/8 Tyler ate 3/4 and Audrey ate. 4/8 who ate the most of the two pizzas

saul85 [17]

Tyler. 3/4 is the highest fraction of the four options.

7 0

2 years ago

Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0

1 year ago

Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record

rosijanka [135]

40 total spins

it landed on H 15 times which equals 15/40

15/40 reduces to 3/8

the answer is C 3/8

3 0

3 years ago