1.) 7.2 2.) 15 3.)12
4.) 23 5.) 100, 100, 1000
Answer:
There are 40 problems on the test
Step-by-step explanation:
Let p = the number of problems on the test
The number of problems on the test times the percent correct is the number correct
p * 85% = 34
p * .85 = 34
Divide each side by .85
p * .85/.85 = 34/.85
p = 40
There are 40 problems on the test
Answer: 12.30 dollars will be spent
Step-by-step explanation: If you go on a trip of 150 miles and each mile is 25 miles per gallon, I divided 150 miles from 25 = 6. Then each gallon cost $2.05 dollars, if we want to know how much will they spend on gas you have to multiply how much per mile and how much it cost. So 2.05 times 6 = 12.30.
Answer:
75 quarters 25 nickels
Step-by-step explanation:
q=quarters n=nickels
q+n=100 n=100-q
0.25q +0.05(100-q)=20
From now I will multiply by 100 to avoid decimals
25q + 5(100-q)=2000
20q=1500
q=75 n=25
75*0.25= 18.75
25*0.05=1.25
18.75+1.25=20
Answer:
p = 7/2
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>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.
