Answer:
D) 200
Step-by-step explanation:
To find what x equals you have to use the expression:
is over of equals percent over 100
In this problem you are given the percent, 65%, and the is, 130.
So we are trying to find the of so you would substitute of with x.
So 130/x = 65/100
Now you would do Cross Product Property to find x.
So 130*100 = 13000
65*x = 65x
65x = 13000
65/65 = 1
13000/65 = 200
x = 200
So 65% of 200 is 130
Answer:
320 in.²
Step-by-step explanation:
Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.
The total area of the rectangle is 16 × 24, which is 384.
Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.
384 - 64 = 320
The total surface area of the following complex shape is 320 in.²
We'll represent the distance as d and the time as t.
d= 3(t+7) because Gilda is 7 minutes late when travelling 3 mph
d= 4(t-5) because Gilda is 5 minutes early at 4 mph
d= 3t + 21
d= 4t -20
3t +21 =4t -20
41=t
d= 3(41) +21= 144
The distance is 144 miles.
Answer:
The number of fiction books is <u>500</u> and non fiction books is <u>1500</u>.
Step-by-step explanation:
Given:
Total book library contains = 2000.
There are 3 times as many non fiction books as fiction books.
Now, to determine the number of non fiction books and fiction books.
Let the fiction books be 
And the non fiction books be 
Total books = 2000.
Now, to get the number of non fiction books and fiction books we put an equation:
Dividing both sides by 4 we get:
Fiction books = 500.
Non fiction books = 
Therefore, the number of fiction books is 500 and non fiction books is 1500.
Answer:
Calculus
Step-by-step explanation:
Calculus: z = (94-70)/12 = 2
Bio: z = (74.5-77)/10 = -0.25
History: z = (45-53)/16 = -0.5
Physics: (70.5-60)/14 = 0.75
