Answer:
By flipping the second fraction (finding its reciprocal) we change the equation mathematically. In order to maintain the equation mathematically, we must turn the division question into a multiplication question.
Step-by-step explanation:
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
If you would like to solve for the positive value of x, you can do this using the following steps:
6 * x^2 - 54 = 0 /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3
The correct result would be x = 3.
Answer: Height at which the wire is attached to the pole is 12 feet.
Explanation:
Since we have given that
Length of the wire = 20 feet
Let the height at which wire is attached to the pole be h
and distance along the ground from the bottom of the pole to the end of the wire be x+4
Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".
But height cant be negative so, height will be 12 feet.
Hence, height at which the wire is attached to the pole is 12 feet.
Answer:
Number of nickels = 17
Number of dimes = 23
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
x + y = 40 (1)
0.05x + 0.10y = 3.15 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.05x + 0.10y = 3.15 (2)
0.05(40 - y) + 0.10y = 3.15
2 - 0.05y + 0.10y = 3.15
- 0.05y + 0.10y = 3.15 - 2
0.05y = 1.15
y = 1.15/0.05
y = 23
Substitute y = 23 into (1)
x + y = 40 (1)
x + 23 = 40
x = 40 - 23
x = 17
Number of nickels = 17
Number of dimes = 23