Answer:
144
Step-by-step explanation:
radius is half of a diameter so that means you need to multiply 72 times 2
Answer:
Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.
Step-by-step explanation:
Let x be the number of miles driven on the first day.
Then they drove twice as many miles, or 2x on the second day
and 50 miles more than the second day's, so 2x + 50
The total is 650 across all three days, so we'll take the sum.
x + 2x + (2x + 50) = 650
Combine like terms on the left
5x + 50 = 650
Subtract 50 on both sides
5x = 600
Divide by 5 on both sides
x = 120
Check work:
120 + 2(120) + 2(120) + 50 = 650
120 + 240 + 240 + 50 = 650
600 + 50 = 650
650 = 650
So they drove 120 miles on the first day
2*120 = 240 miles on the second day
and 2*120 + 50 = 240 + 50 = 290 miles on the third day
Answer:
14/25
Step-by-step explanation:
Convert 56% to fraction form: 56/100, and then simplify to 14/25
Answer:
z < 5.28
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>
14.3 > 5(z - 2) - 2.1
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute 5: 14.3 > 5z - 10 - 2.1
- Subtract: 14.3 > 5z - 12.1
- Add 12.1 on both sides: 26.4 > 5z
- Divide 5 on both sides: 5.28 > z
- Rewrite: z < 5.28
Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.
