1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
2 years ago
5

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism

and the cube?
Mathematics
1 answer:
AleksAgata [21]2 years ago
8 0

Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
You might be interested in
-3.41 is located between which of the letters on
Nat2105 [25]

Answer:

k and l....................

7 0
2 years ago
6/8 divide by 8/12<br> A. 9/2<br><br><br> B. 8/9<br><br><br> C. 9/8<br><br><br> D. 9/32
Musya8 [376]

Answer:

C. 9/8

Step-by-step explanation:

\frac{6}{8}  \div  \frac{8}{12}

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

\frac{6}{8}  \times  \frac{12}{8}

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

\frac{72}{64}

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8

3 0
2 years ago
Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
Vladimir [108]

Answer:

Reyna Puti sold = 20 bottles

Step-by-step explanation:

Silver duck = Php 10 per bottle

Reyna Puti = Php 15 per bottle

Silver duck sold = 30 bottles

Reyna Puti sold = x bottles

Total sales = Php 600.00

Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold

600 = 10 * 30 + 15 * x

600 = 300 + 15x

600 - 300 = 15x

300 = 15x

x = 300/15

x = 20 bottles

Reyna Puti sold = 20 bottles

3 0
2 years ago
7/10 write the number as hundredths in a fraction form and decimal form
klemol [59]

7/10 as hundredths decimal: .07

7/10 as fraction: 7/100

7 0
3 years ago
What is the range of y=−x^2−2x+3?<br><br> x≤−4<br><br> x≤4<br><br> x≥−4<br><br> x≥4
saveliy_v [14]

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,4],{y|y≤4

Hope this helps

4 0
3 years ago
Other questions:
  • The following number sentence is _____________.<br><br> (9 ÷ 5) ÷ 2 = 9 ÷ (5 ÷ 2)
    12·2 answers
  • On a number line, what is two-thirds of the distance from one-half to 2.25
    13·1 answer
  • \begin{aligned} &amp;-5y=-5 \\\\ &amp;7x+6y=7 \end{aligned}
    7·1 answer
  • Which is a right triangle formed using a diagonal through the interior of the cube?
    6·2 answers
  • 1 2 3 4 5 6
    11·2 answers
  • When solving the equation x3 = 22.
    6·2 answers
  • The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additiona
    13·1 answer
  • Find P(5) when p = 0.38
    12·1 answer
  • PLEASE HURRY AND GET THE ANSWER CORRECT I WILL MARK BRAINLIST
    11·1 answer
  • Subtract 6(x^2-xy) from 3x(x-y)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!