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myrzilka [38]
3 years ago
15

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Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

Uh there's no question so um

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
The expression (2x+2x)+(5x+5x)+(1+1) represents the perimeter of a triangle. Select the answer below which shows this expression
Maru [420]

Answer:

A) 14x + 2

Step-by-step explanation:

(2x + 2x) + (5x + 5x) + (1 + 1)

= 4x + 10x + 2

= 14x + 2

You can only add 4x and 10x since they both have a variable (x). You cannot add 2 since 2 doesn't have a variable, so the answer in simplest form is 14x + 2

5 0
3 years ago
Pls can someone tell me what sine is
QveST [7]

Answer:

the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.

Step-by-step explanation:

5 0
3 years ago
Please help i need this quickly
Sonja [21]

54 wpm..............................................................

7 0
4 years ago
The table shows the time Phillip spent driving and the number of miles he drove. He drove the same number of miles each hour.
Nonamiya [84]

Answer:

65 miles per hour.

Step-by-step explanation:

let me know if im wrong :)

4 0
3 years ago
Read 2 more answers
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