Answer:
25 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
Simplify:
37 - (-3)^2 + 30/(-3)x^2
= 37 + - 9 + - 10x^2
Combine like terms:
= 37 + - 9 + - 10x^2
= ( - 10x^2) + (37 + - 90
= - 10X^2 + 28
Answer: - 10x^2 + 28
To Factor:
37 - (- 3)^2 + 30/- 3x^2
- 10x^2 + 28
- 2(5x^2 - 14)
Answer: - 2(5x^2 - 14)
I simplify, and factor, because, you didn't really specify what you wanted help on with this equation. - Thanks -
Hope that helps!!!!
The tablecloth has 42" diameter.
Add 8" at each end of the diameter to get 42" + 8" + 8" = 58".
The tablecloth has 58" diameter.
The radius is half the diameter.
Radius = diameter/2 = 58"/2 = 29".
Answer: The radius of the tablecloth is 29".
Put x on one side of the equation
6x=(76+22)
6x=98
x=98/6
Simplify
x=49/3
A) 10w. You wouldn't add the 10 cans to the number of weeks to get the total and you wouldnt add 10 cans to the # of 10 cans times the # of weeks. a) 10w is the correct answer.