Answer:
n = 1
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>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-41 = -2/5(45n + 60) + n
<u>Step 2: Solve for </u><em><u>n</u></em>
- Distribute -2/5: -41 = -18n - 24 + n
- Combine like terms: -41 = -17n - 24
- [Addition Property of Equality] Add 24 on both sides: -17 = -17n
- [Division Property of Equality] Divide -17 on both sides: 1 = n
- Rewrite/Rearrange: n = 1
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: -41 = -2/5(45(1) + 60) + 1
- (Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1
- (Parenthesis) Add: -41 = -2/5(105) + 1
- Multiply: -41 = -42 + 1
- Add: -41 = -41
Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
X+y+z=92
y=3x
z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute
y=3x
y=3(17)
y=51
z=2x-10
z=2(17)-10
z=34-10
z=24
x=17
y=51
z=24
the numbers are 17,51,24
Answer: C
Step-by-step explanation: i dont know srry
Hi!
<h3>Divide by -10 on both sides. </h3>
-10x/-10 < -100/-10
<h3>The inequality sign flips because we are dividing by a negative number. </h3>
<u>x > 10</u>
<h2>The answer is A x > 10</h2>
Hope this helps! :)
-Peredhel
The answer is B.
**
The triangles on the two ends are congruent. So, to find the prism area, it is enough to take the area of one of the triangles and multiply it by the prism depth, which is 20 units.
Use the Pythagorean theorem to find the height of the triangle. 5^2 - 3^2 = 4^2, so the height is 4. Multiply half times height times base: 1/2 x 4 x 3 = 6. Multiply that by the depth, 20. 6x20=120. The answer is in cubic units, or units^3