Answer:
Maria's book is 202 pages long, Brandon's book is 146 pages long
Step-by-step explanation:
We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.
We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:
x=y+56
We also see that their booklengths add up to 348, and can get:
x+y=348
From here, we solve for x and y. We can use substitution to find y.
x+y=348
(y+56)+y=348
2y=292
y=146
Here we plug in for x:
x=y+56
x=(146)+56
x=202
Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long
There are 12 months in a year
4 months that have 30 days so ratio of the months with 30 days to the months with other than 30 days = 4: 12 = 1:3
Answer:
1 to 3
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24 sedans and 18 sports
Ratio of sedans to sport = 24 : 18 = 4:3
Answer:
4 to 3
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30 inches to 2 feet
2 feet = 24 inches
so 30 inches to 24 inches = 30:24
simplify
= 5 : 4
Answer:
5 to 4
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36 inches to 4 feet = 36 inches to 48 inches = 36:48
simplify
= 3 : 4
Answer:
3 to 4
Answer:
2.5 seconds.
Step-by-step explanation:
Find the value of t when the height is 28 feet:
-16t^2 + 56t + 4 = 28
-16t^2 + 56t - 24 = 0
-8(2t^2 - 7t + 3) = 0
-8(2t - 1)(t - 3) = 0
t = 0.5, 3 seconds.
So on the upward journey the rock is at 28 feet at 0.5 second after the throw and at 3 seconds it is at 28 feet again while it is falling back.
Therefore the period when it is at least 28 feet above the ground is 3.0 - 0.5 = 2.5 seconds.
Answer:
x = 5 units
Step-by-step explanation:
Hello!
We know that the area of a rectangle is the length multiplied by the width.
- The length is given as 6
- The width is given as 2x + 8
- The area is given as 108
We can simply create an expression to solve for x.
Solve:
- Area = length x width
- 108 = 6(2x + 8)
- 108 = 12x + 48
- 60 = 12x
- x = 5
The value of x is 5 units.
