Answer:
Delaney has 36 books and 24 movies currently
Step-by-step explanation:
Given:
Delaney has 4 times as many books as she has movies.
she buys 15 more movies
Ratio of movies to books = 2:3
To Find:
The number of books and movies she is having currently = ?
Solution:
Let the number of movies be x
Then the number of books is 4x
After she buys 15 books, the number of books will be
x+15
Now the ratio of movies to books is 2 : 3
On solving
x = 9
The number of book is
=>
=>
=> 36
The number of movies is
=>x + 15
=>9+15
=> 24
Use long division.
1. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
2. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
3. Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.
0 3 5 9
22| 7898
-0
—————-
78
- 66
—————
1 2 9
- 1 1 0
—————
1 9 8
- 1 9 8
——————
0
So the answer is 359.
Refer to the attached image. If we draw a line parallel to segment BC, and this line goes through point D, then we'll form the new point E. Point E is on segment AB.
The parallelogram EBCD parallelogram forms. In fact, this figure is actually a rectangle due to the right (90 degree) angles. By definition, the opposite sides are parallel. Consequently, the opposite sides are congruent.
So,
BC = ED = 24
EB = CD = 4
AE+EB = AB
AE+4 = 5
AE = 1
Note how triangle AED is a right triangle with the right angle at angle E.
We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
1^2 + 24^2 = c^2
1 + 576 = c^2
577 = c^2
c^2 = 577
c = sqrt(577)
c = 24.0208
If we round to the nearest tenth, then we get
24.0 which is the final answer (so the answer is choice C)Note: this is misleading as this implies that the hypotenuse is the same length as the leg, which is not the case. So this is one drawback to rounding.
I'm not 100% sure it's correct but I tried my hardest and it's a combination of elimination and substitution
Simplify 3^3
= (9-27) + (27-3)
= (-18) + (24)
= 6