To find out the thickness of each book you would have to divide 135 inches by 60 to get 2.25 .
135 ÷ 60 = 2.25
so the answer would be A
This is a proportion problem involving cross multiplication.
=
Now first multiply 340 x 4 which equals 1,360
Now divide that number by 60 to get your X value
Answer is 22.67 minutes or 23 if it needs to be rounded (that depends on your teacher).
Answer:
Short piece: 9 ft
Long piece: 41 ft
Step-by-step explanation:
The first step to solving this problem is to translate the given information into some equations. Since we know the total length of the rope is 50 feet, the solution when adding the equation for the short piece and the equation for the long piece must be 50. The information from the second sentence can be translated into a mathematical expression. The phrase "5 more than 4 times" has two key words. They are "times" and "more". "Times" implies multiplication while "more" implies addition. Therefore this sentence becomes the expressions 5+4x, where x is the length of the short piece.
The equations we have from the problem statement are:
L = 5+4x where L represents the length of the long piece and x represents the length of the short piece
x + L = 50
Substituting the equation for the long piece into the equation for total length:
x + (5+4x) = 50
5 + 5x = 50
5x = 45
x = 9 ft
Substituting x = 9 into the equation for the long piece:
L = 5 + 4(9)
L = 5 + 36
L = 41 ft
Checking the answers by substituting x = 9 and L = 41 into the equation for total length:
x + L = 50
9 + 41 = 50
50 = 50
In order to solve this you have to use the pythagorean’s theorem, which is a^2+b^2=c^2. from the problem you can find out you have a=13ft and c=24ft. c is your hypotenuse. you then solve and you get b=20.17ft. you can check to make sure the answer is right, but that is how you solve it. And the ladder would reach 20.17ft.
Answer: r=14
Step-by-step explanation:
because they are vertical angles
7r+6=8r-8
solving for r you get
r=14
