Answer:
12
Step-by-step explanation:
Let the number = x
7x + 1 = 5x + 25 Subtract 5x from both sides.
7x - 5x + 1 = 5x - 5x + 25 Combine
2x + 1 = 25 Subtract 1 from both sides.
2x + 1 - 1 = 25-1 Combine
2x = 24 Divide by 2
2x/2 = 24/2
x = 12
Answer:

Step-by-step explanation:
Given that,
Renee has 1/4 yard of floral fabric.
She cuts it into 5 equal pieces.
We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

So, each new piece pf fabric is
.
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
1/12
Step-by-step explanation:
Since the probability of getting heads is 1/2 and the probability of the number cube getting three is 1/6, we multiply.
For every coin flip, there is a 1/6 chance of getting a three. But since there is another condition, we have to multiply. Multiplying both fractions make 1/12.
Answer:
4W=25
providing the distances from the hanger wire to the weights are equal.
Step-by-step explanation: