Answer:
61 sales
Step-by-step explanation:
First find the increase
45 * 35%
45*.35
15.75
Add this to your sales
45+15.75
60.75
Since you cannot have part of a sale, round up
61 sales
The distance Terry needs to run when the winner crosses the finish line is 1. 6 miles.
<h3>How to find the distance Terry needs to run?</h3>
The race was a 10 km race and she has completed 74% of the race when the winner crosses the finish line.
Therefore, the number of more miles Terry need to cover can be calculated as follows:
74 / 100 × 10 = 740 / 100 = 7.4 km
He has covered 7.4 km.
The distance remaining to cover = 10 km - 7.4 km = 2.6 km
Therefore,
4km = 2.48 miles
2.6 km = ?
cross multiply
The distance remaining to cover(miles) = 2.6 × 2.48 / 4
The distance remaining to cover(miles) = 6.448 / 4
The distance remaining to cover(miles) = 1.612
The distance remaining to cover(miles) = 1.6 miles
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1st is 19
2nd is 23
3rd is 27
4th is 31
5th is 35
6th is 39
7th is 43
8th is 47
9th is 51
10th is 55
This is because you are adding 4 each time, the rule of the sequence is 4n+15
Answer: A
Step-by-step explanation:
Answer:
x = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
5 - 7(2 - x) = 31 - 4(2x - 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5 - 14 + 7x = 31 - 8x + 20
- Subtract/Add: -9 + 7x = -8x + 51
- Add 8x on both sides: -9 + 15x = 51
- Add 9 to both sides: 15x = 60
- Divide 15 on both sides: x = 4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5 - 7(2 - 4) = 31 - 4(2(4) - 5)
- (Parenthesis) Multiply: 5 - 7(2 - 4) = 31 - 4(8 - 5)
- (Parenthesis) Subtract: 5 - 7(-2) = 31 - 4(3)
- Multiply: 5 + 14 = 31 - 12
- Add/Subtract: 19 = 19
Here we see that 19 does indeed equal 19.
∴ x = 4 is the solution to the equation.