check the picture below.
notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.
1/2 + 3/x = 3/4
multiply everything by x
1/2x + 3 = 3/4x...subtract 1/2x from both sides
3 = 3/4x - 1/2x
3 = 3/4x - 2/4x
3 = 1/4x...multiply both sides by 4
4 * 3 = x
12 = x
Answer:
38
Step-by-step explanation:
take the biggest number and subtract it by the smallest number and you will get your answer.
Answer:
$7.20
Step-by-step explanation:
First, we would have to find out how much to subtract from $62.
We need to multiply 90% and 62 or 0.9 x 62
When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.
62 - 54.8 = 7.2, so therefore our answer is $7.20
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.