Answer:
None
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>
2x < -10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 2 on both sides: x < -5
Here we see that any value <em>x</em> smaller than -5 would work as a solution.
<u>Step 3: Identify</u>
<em>Answer choices.</em>
I. -2
II. 2
III. 10
We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.
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Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
Answer:
30 inches squared
Step-by-step explanation:
First, find the area of the entire frame using length times height. 9*6 is 54 inches squared. Then, find the area of the middle space the same way. 6*4 is 24 inches squared. Lastly, subtract the middle from the entire frame's area. 54-24 is 30 inches squared.
Answer: y = 40x + 750
Step-by-step explanation:
Linear model;
y = mx + c
y is the total cost of buying granite counter tops for a certain number of square foot as well as the cost to install the counter top.
m is the cost of granite counter tops per square foot which is $40 in this case.
x is the number of square feet required.
c is the base pay for the installation of the counter top which is $750
Linear model will therefore look like this;
y = 40x + 750
To test it. Assume you want enough granite tops for 10 square feet. How much would it cost;
= 40 (10) + 750
= $1,150
