8 = £4
1 = £0.50
3 = 3 × £0.50
3 = £1.50
Download photomath it solves and shows the steps
Problem 11
<h3>Answer: h =
2A/b</h3>
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Explanation:
We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b
A = (1/2)*b*h
2A = b*h
b*h = 2A
h = 2A/b
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Problem 12
<h3>Answers:</h3>
- Equation: (n+2)/5 = 14
- Solution to that equation: n = 68
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Explanation:
The number n is increased by 2 to get n+2
Then we divide by 5 to get (n+2)/5
This is set equal to 14 to get the equation (n+2)/5 = 14
Solving the equation would look like this
(n+2)/5 = 14
n+2 = 5*14 .... multiply both sides by 5
n+2 = 70
n = 70-2 .... subtract 2 from both sides
n = 68
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Problem 13
<h3>Answer: Not a solution</h3>
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Explanation:
We'll replace every copy of x with -3 and simplify
-2x + 5 > 13
-2*(-3) + 5 > 13
6 + 5 > 13
11 > 13
The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.
Therefore, x = -3 is not a solution.
Answer:
(-6, 0)
(-5, 1)
(-1, -2)
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
x + 3y > -8
(-6, 0) ?
(-5, 1) ?
(-16, 2) ?
(-1, -2) ?
(0, -3) ?
<u>Step 2: Check 1</u>
- Substitute: -6 + 3(0) > -8
- Multiply: -6 > 8
- Check: -6 > 8 ? Yes
<u>Step 3: Check 2</u>
- Substitute: -5 + 3(1) > -8
- Multiply: -5 + 3 > 8
- Add: -2 > -8
- Check: -2 > -8 ? Yes
<u>Step 4: Check 3</u>
- Substitute: -16 + 3(2) > -8
- Multiply: -16 + 6 > -8
- Add: -10 > -8
- Check: -10 > -8 ? No
<u>Step 5: Check 4</u>
- Substitute: -1 + 3(-2) > -8
- Multiply: -1 - 6 > -8
- Subtract: -7 > -8
- Check: -7 > -8 ? Yes
<u>Step 6: Check 5</u>
- Substitute: 0 + 3(-3) > -8
- Multiply: -9 > -8
- Check: -9 > -8 ? No