Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
Answer:
<em>343 metres per second
</em>
<em>In dry air at 20 °C (68 °F), the speed of sound is 343 metres per second (about 767 mph, 1234 km/h or 1,125 ft/s).</em>
<em></em>
85 is not a prime, it’s a composite number.
Answer:
In order to simplify a fraction there must be:
A number that will divide evenly into both the numerator and denominator so it can be reduced, or
The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.
Step-by-step explanation:
i cant see the picture for some reason
Answer:
a) 300 + 80h = x
b) $780
Step-by-step explanation:
So, the original cost is $300, plus an additional $80 times the number of hours rented.
h will represent the number of hours rented
x will represent our total cost (use whatever variable your teacher expects :))
300 + 80h = x
This is our equation. Now, we want to find the cost for 6 hours. Substitute 6 in for h.
300 + 80(6) = x Solve for x.
300 + 480 = x
780 = x This means the total cost for 6 hours will be $780.
Hope this helps :)
NOTE: I noticed in part a, it referred to a "dunking booth". I solved this problem as if that was a typo and they were referring to the jumper.
