Answer:
A. a + c ≥ 70; 15a + 4c ≤ 1000
Step-by-step explanation:
<u>Given data:</u>
A community action committee is planning a block party
The party will be successful if at least 70 adults (a) and children (c) attend
Their budget for the party is $1,000
The cost for each adult will be $15
And the cost for each child will be $4
<u>Solution:</u>
<u />
At least 70 adults and children attend.
So the inequality here is a + c ≥ 70
The budget for the party is $1,000.
So the cost for all adults plus the cost for all children cannot exceed $1,000
And hence the inequality here is; 15a + 4c ≤ 1,000
Answer:
The Answer is -x + 3.
Step-by-step explanation:
It's honestly one of the longest process'. Above is the right answer though. Hope it helped.
Answer:
3 2
/7
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Answer:
7. r = -5
8. x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
r + 2 - 8r = -3 - 8r
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: -7r + 2 = -3 - 8r
- Add 8r to both sides: r + 2 = -3
- Subtract 2 on both sides: r = -5
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: -5 + 2 - 8(-5) = -3 - 8(-5)
- Multiply: -5 + 2 + 40 = -3 + 40
- Add: -3 + 40 = -3 + 40
- Add: 37 = 37
Here we see that 37 does indeed equal 37.
∴ r = -5 is a solution of the equation.
<u>Step 4: Define equation</u>
-4x = x + 5
<u>Step 5: Solve for </u><em><u>x</u></em>
- Subtract <em>x</em> on both sides: -5x = 5
- Divide -5 on both sides: x = -1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -4(-1) = -1 + 5
- Multiply: 4 = -1 + 5
- Add: 4 = 4
Here we see that 4 does indeed equal 4.
∴ x = -1 is a solution of the equation.
Answer:
A.
Step-by-step explanation:
