12=5x-13x-44
combine like terms
12 = -8x -44
add 44 to each side
12+44 = -8x
56= -8x
divide by -8 on each side
56/-8 = x
-7 =x
Answer:
Length = 6.25 feet
Step-by-step explanation:
Your dad is designing a new garden for your backyard. He has 20 feet of fencing to go around the garden.
Let the width is x.
Length is 2 1/2 feet longer than the width i.e. (x+2 1/2) = (x+2.5) feet
Perimeter = 20 feet
2(l+b) = 20
(l+b) = 10
(x+2.5+x) = 10
2x+2.5 = 10
2x = 7.5
x = 3.75 feet
Length = (x+2.5)
= (3.75+2.5)
= 6.25 feet
So, the length of the garden is 6.25 feet.
Answer:
2,4,8,16,32,64
Step-by-step explanation:
There are a couple of ways one could approach this. The goal is to find out the factor by which the numbers are increasing. Looking at going from 8 -> 16, we have either added 8, or doubled 8. So the factor is either +8 or x2. Going from 16 -> 32, adding 8 no longer holds true, while multiplying by 2 (doubling 16) does. To confirm what we have found, we can further check our math by using the final two numbers, 32 -> 64, to confirm that the sequence pattern is to double the current number to achieve the next number.
Working backwards, we can half each number to find out the first two numbers in the sequence. 64/2 = 32, 32/2 = 16, 16/2 = 8, 8/2 = 4, 4/2 = 2
The ages of people on the camp bus are listed. 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16 What is the mode of the ages? A. 10
Ghella [55]
A. 10 because it occurs the most times in the sequence and the other numbers don't have as many as the the number 10. 10 appears 3 times