Answer:
58
Step-by-step explanation:
Let t and m represent the numbers of cards had by Tom and Max, respectively. Then the problem statement tells us ...
We want to solve for t. If we multiply the first equation by 4 and subtract the second, we get ...
... 4(t +m) -(4m +2) = 4(72) -(t)
... 4t +4m -4m -2 = 288 -t . . . . . . . eliminate parentheses
... 5t = 290 . . . . . . . . . . . . . . . . . . . add t+2, collect terms
... t = 58 . . . . . . . . divide by the coefficient of t
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<em>Alternate Solution</em>
You can work this in your head if you realize that subtacting 2 from the total means that Max has 1/5 of the new amount. 1/5 of 70 is 14, so Tom has 72 - 14 = 58 cards.
Answer:
Length = 42 feet
Width = 21 feet
Step-by-step explanation:
Let the length and width be represented by L and W
L = 2W
Perimeter (P) = 126 feet
2(L + W) = 126
L + W = 126/2 = 63
2W + W = 63
3W = 63
W = 63/3 = 21 feet
L = 2W = 2 × 21 feet = 42 feet
I believe it is 5, the picture is kind of blurry but if 5 is a answer choice it is most likely 5
8 seconds
The hardest part of this is setting up the equation -- the calculations are pretty easy.
You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower: what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH
You can think of this as:
200 HP = 10 seconds
250 HP = x seconds
You set the equation up as:
250 HP / 200 HP = 10 sec / x sec
Now, just cross multiply and solve:
250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8
So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.
Hope this helps!
Good luck.
Answer:
See attachment
Step-by-step explanation:
The negative in front flips it over the y axis
The +1 moves it left
Have a great day!!!
(Also can I please have Brainliest, I need it to level up!)
