Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
21*x=9*21
9*21=189
21*x=189
Divide 189 by 21 to solve for X or in this case "Blank"
189/21= 9
Multiple 1.65/100 which equals 14.4375
The add 14.4375 to 875 & round to the closest cent which is 889.44
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
The percent change in Nancy height is 10%
Step-by-step explanation:
Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.
We have to find the percent change in her height.
Percentage change is given by the ratio of the difference in old value and new value to the old value times 100
Mathematically written as
For the given data,
Old value = 60 inches
New value = 66 inches
Thus, the Percentage change is given as,
Simlify, we have,
Thus, The percent change in her height is 10%
