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3 years ago

Jason can travel 24 3/4 miles in 1/2 hour. What is hi average speed in miles per hour?

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

49 1/2 miles per hour

Step-by-step explanation:

To determine the average speed, we take the miles and divide by the hours

speed ÷ hours

24 3/4 ÷ 1/2

Change the mixed number to an improper fraction

24 3/4 = (4* 24+3)/4 =99/4

99/4 ÷ 1/2

Copy dot flip

99/4 * 2/1

99/2

Change to a mixed number

2 goes into 99 49 times (49*2 = 98) with 1 left over

49 1/2 miles per hour

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Given the following coordinates complete the reflection transformation.

Minchanka [31]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

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Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

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3 years ago

What is the solution to the system? 8x + 4y = 12 y = -2x + 3

elena-s [515]

Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

then you can cancel out the 8x and -8x and switch the 12 over into a -12 canceling out the 12s making it x=0

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3 years ago

Please! Quick, how may days are in between 12/1/16 and 7/20/20???

lozanna [386]

1,327 days are in between 12/1/16 and 7/20/20

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Factor the polynomial completely. Use synthetic division. F(x) = x^3-7x-6

aleksklad [387]

Answer:

The factors of given polynomial x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial

f(x) = x³ - 7x -6

put x =-1

f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

x³ x² x constant

x=-1 ↓ 1 0 -7 -6

↓ 0 -1 1 6

1 -1 -6 0

The polynomial x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

x = -1 and x² - x - 6 =0

x =-1 and x² - 3x + 2 x - 6 =0

x =-1 and x (x -3) + 2( x-3) =0

x =-1 and (x+2)(x-3) =0

Final answer:-

The factors of given polynomial x =-1 , -2 and x =3

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3 years ago