Answer:
$46
Step-by-step explanation:
A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 75.
The original price was $46.
Let's set it up like this:
Multiply both sides by
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
The variable
can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
The answer is minus 666 that’s the answer byee
Answer:
26.2% of smokers,when given this treatment, would refrain from smoking for at least 6 months.
Step-by-step explanation:
In this problem, we have that:
935 smokers received the treatment(nicotine patch).
After 6 months, 245 of them were not smoking.
Assuming it is reasonable to regard this sample as representative of all smokers, estimate the percentage of all smokers who, when given this treatment, would refrain from smoking for at least 6 months.
This percentage is 245/935 = 0.2620.
26% of smokers,when given this treatment, would refrain from smoking for at least 6 months.
