Photo math is charging? We don't need it. We factor the difference of two squares.
Answer: 5t-50
Answer:
as written: 2500.2
as intended: 3000
Step-by-step explanation:
20% = 0.2, so adding 0.2 to 2500 gives 2500.2
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We suspect you want to add 20% of 2500 to 2500. That is ...
2500 + 20%×2500
= 2500 + 0.20×2500
= 2500 + 500
= 3000
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<em>Comment on percentages</em>
A percentage is a pure number. It is a ratio of like quantities, so has no units.* A <em>useful</em> percentage always has a base. That is, it is a percentage <em>of something</em>. Sometimes that base may be unclear or unstated, in which case the percentage might very well be considered to be meaningless.
In any event, a percentage is simply a (unitless) fraction. The "%" symbol means the same thing as "/100", so 20% means 20/100 = 2/10 = 1/5.
The very clear math expression 2500 +20% means simply 2500 + 1/5, which is the mixed number 2500 1/5 or the decimal value 2500.2. Usually, when we want to add a percentage to some value, we want the percentage to be <em>of the original value</em>. When that is written as a math expression, it must show this:
2500 + 20% of 2500
2500 + 20%×2500
2500(1 +20%)
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* The concentration or potency of some medicines or other mixtures may be expressed as a percentage that is the ratio of one unit to a different unit, typically weight per volume. That is, a "0.1%" preparation may be 0.1 grams per 100 mL, for example. You have to read the label to determine whether this is the case. Mathematically, this is not a percentage, but is a non-standard use of the "%" symbol to indicate a ratio to 100 of something.
Answer:
7/5 y --> y+ 2/5y
0.68y --> y - 0.32y
3/5y --> y - 2/5y
1.32y --> y+ 0.32y
Step-by-step explanation:
Pretend there is a 1 in front of each y that doesn't have a number (coefficient) in front of it. 1 = 5/5, and then just solve for the fraction expressions.
<h3><u>Question:</u></h3>
There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building?
<h3><u>Answer:</u></h3>
There are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building
<h3><u>Solution:</u></h3>
Let "b" be the number of workers in smallest building
Given that Twice as many people work in the largest building as in the smallest of the three
number of workers in largest building = 2b
Given that There are 500 more workers in the second-largest building than in the smallest building
Number of workers in second largest building = 500 + b
Given that there are 3900 workers in 3 buildings
b + 2b + 500 + b = 3900
4b + 500 = 3900
4b = 3900 - 500
4b = 3400
b = 850
Thus there are 850 workers in smallest building
workers in largest building = 2b = 2(850) = 1700
workers in second largest building = 500 + b = 500 + 850 = 1350
Thus there are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building
