2 3
--- * ? = ---
9 15
We want to find the fraction represented by " ? " above.
We want to isolate the " ? " so mult both sides by the inverse of (2/9):
(9/2)(2/9) f = (3/15)(9/2) = 27/30 = 9/10
so the unknown fraction is 9/10.
Check your work: Is (2/9)(9/10) = 3/15? Is 1/5 = 1/5? YES.
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
The desired answer is probably that
2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.
_____
I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
Answer:
x= -20
Step-by-step explanation:
Answer:
p = 2 or p = - 18
Step-by-step explanation:
given 
= 5 ( multiply both sides by 2 )
| p + 8 | = 10
The expression inside the absolute value can be positive or negative
that is p + 8 = ± 10
p + 8 = 10 ⇒ p = 10 - 8 = 2
p + 8 = - 10 ⇒ p = - 10 - 8 = - 18
