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White raven [17]
3 years ago
11

Margaret drove to a business appointment at 90 mph. Her average speed on the return trip was 80 mph. The return trip took 1/4

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Distance = speed x time

Let the time to the appointment = x

The time home would be x + 1/4 hour

set up an equation you have 90x = 80(x + 1/4)

Simplify:

90x = 80x + 20

Subtract 80x from both sides:

10x = 20

Divide both sides by 10:

x = 2 hours

Distance = 90 x 2 = 180 miles

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I need help on this
Naily [24]

Answer:x=90° y=58° z=32°

Step-by-step explanation:

x=90

y=180-(90+32) sum of angles in a triangle is 180

y=58

y+90+z=180 they are supplementary

58+90+z=180

148+z=180

z=180-148

z=32

5 0
4 years ago
198 = -4x + 2(-6x+3)
Firdavs [7]
198=-4x+2(-6x+3), 198=-4x-12x+6, 198=-16x+6, collect the like terms, 198-6=-16x, 192=-16x, divide both sides by -16, 192/-16=-16x/-16, x=-12
4 0
3 years ago
What is 256 written as a power
Lapatulllka [165]
Written as a power of ten is 256.×10^0 or 2.56×10^1
7 0
4 years ago
Create a number sequence that has a first term equal to -10 and has a recursive rule of subtract 2
vodomira [7]

Answer:

The number sequence is -10, -12, -14, -16, .....

Step-by-step explanation:

The sequence has - 10 as the first term.

So, f(0) = - 10 and the recursive rule of the function is of subtract 2.

Hence, f(n + 1) = f(n) - 2 ...... (1)

Now, putting n = 1 in equation (1) we get, f(1) = f(0) - 2 = - 10 - 2 = - 12

Again, putting n = 2, we get, f(2) = f(1) - 2 = - 14

Now, putting n = 3, we get, f(3) = f(2) - 2 = - 16 and so on.

Therefore, the number sequence is -10, -12, -14, -16, ..... (Answer)

6 0
4 years ago
Solve this by substitution
frozen [14]

Answer:

y= 1 and x=-2

Step-by-step explanation:

Since they both equal y, you can equal them to each other:

x + 3 = 2x + 5

Then solve:

x - x + 3 = 2x - x + 5

3 - 5 = x + 5 - 5

-2 = x

Substitute x in either equation to solve for y:

y = (-2) +3

y = 1

Or the other equation:

y = 2(-2) + 5

y = -4 + 5

y = 1

hope this helps :)

6 0
3 years ago
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