a) You are given the rate as 7.4m/min,
The equation would become d = 7.4t where d is the total distance and t would be the total number of minutes.
b) d would be a positive number because the diver is ascending, which means he is moving up towards the surface.
c) To find how long it took the diver, replace d with 41.36 ( how deep the diver was) and solve for t:
41.36 = 7.4t
To solve for t, divide both sides by 7.4:
t = 41.36 / 7.4
t = 5.59 minutes ( 5 minutes and 35 seconds)
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.
The 7 in the tenth place is equal to 7 times the value on the right
Hello! So the original price is $120. It has a discount rate of 20%. You still pay 80% of the price, because 100 - 20 is 80. When we are looking for the sale price after the discount, we always mulitply the original amount by the percent of the price left to pay, after subtracting the discount from 100%. All we have to do is multiply 120 by 80% (0.8). 120 * 0.8 is 96. There. The sale price is $96. The answer is D: $96.
Step-by-step explanation:
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