Answer:
You will save $20.
Step-by-step explanation:
<u>IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100. </u>
1) Some percent of an amount is what?
Using the formula above, I can conclude that 40% is equal to 40/100=4/10=2/5
2) Translate into an equation.
It is important to keep in mind that we are trying to find <u>40% of $50</u> in order to find out how much money will be saved.
In the above step, we already found that 40% = 2/5.
I also know that, in mathematics, the word "of" means multiplication.
Therefore, I am trying to find 40% of $50 <em><u>is the same as</u></em> 2/5 * $50.
2/5 * $50 = x ------ (x represents the money saved)
3) Solve for variable.
$20 = x
4) Write a sentence to answer the question.
You will save $20.
Answer: 11,700,000
Step-by-step explanation:
Number of people in Pennsylvania =13,000,000
Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10
The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:
= 9/10 × 13,000,000
= 11,700,000
The nickels in the envelope is $0. 12
<h3>How to determine the number</h3>
From the information given, we have that;
Dimes + nickels = $1. 20
1/4 dimes + dimes = $ 1. 35
Let dimes = d
Nickels = n
d + n = 1. 20 equation a
d/4 + d = 1. 35 equation b
Make 'd' subject from equation a
d = 1. 20 - n
Substitute into equation b
1. 20 - n/ 4 + 1. 20 - n = 1. 35
0. 3 - 0. 25n + 1. 20 - n = 1. 35
collect like terms
- 1. 25n = 1. 35 - 1. 5
- 1. 25 = - 0. 15
n = -0. 15/ -1. 25
n = 0. 12
Thus, the number of nickels in the envelope is $0. 12
Learn more about algebraic expressions here:
brainly.com/question/4344214
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