Answer:
mass, location, and force from earth
Step-by-step explanation:
The answer to this problem is -10x^2t-6st to get this answer or this problem you must use the product rule formula x^a x^b=x^a=b
Answer:
x = -30
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 Equation</u>
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2
- Combine like terms: -0.1x + 2 = 0.2x + 11
- Add 0.1x on both sides: 2 = 0.3x + 11
- Isolate <em>x </em>term: -9 = 0.3x
- Isolate <em>x</em>: -30 = x
- Rewrite: x = -30
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2
- Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2
- Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2
- Multiply: -22 + 27 = -7.2 + 12.2
- Add: 5 = 5
Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
The volume of aggregate that she needs to build the patio is 13.18 ft^3
<h3>How many cubic feet of aggregate would she need to build the walkway?</h3>
We know that the backyard is 14ft long, 6 feet wide and 4 inches deep.
Rememeber that:
1ft = 12 in
Then:
4 in = (4/12) ft = (1/3) ft
Then the volume of the backyard is:
V = (14ft)*(6ft)*(1/3 ft) = 28ft^3
Now we know that we have a mix of 4 parts aggregate to 4.5 parts loose cement that need to fill these 28 cubic feet.
Note that:
4 + 4.5 = 8.5
How many times we have 8.5 in 28?
28/8.5 = 3.294
Now for each of these we have 4 parts of aggregate, then the volume of aggregate that we need is:
4*3.294 ft^3 = 13.18 ft^3
The volume of aggregate that she needs to build the patio is 13.18 ft^3
If you want to learn more about volumes:
brainly.com/question/1972490
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