9/10 times 1/3 plesse help me

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

AleksAgata [21]

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle V_P = 2x^3 - 6x^2 + 8x$

$\displaystyle V_C = 27x^3$

Step 2: Find Combined Volume

[Set up] Add: $\displaystyle V_P + V_C = V_{P + C}$
Substitute in variables: $\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x$
Combine like terms: $\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

8 0

3 years ago

Perry bought one package of strawberries for $3. How many packages of strawberries can Mei buy if she has $9?

evablogger [386]

Answer:

3 packs

Step-by-step explanation:

1 pack = $3

To see how many she could buy divide the money she has by how much each pack costs

9/3 = 3

$3 for each pack is the same as

3+3+3 = 6+3 = 9

7 0

3 years ago

The perimeter of an equilateral triangle is 11 inches more than the perimeter of a square, and the side of the triangle is 6 inc

uysha [10]

Answer:

13 inches

Step-by-step explanation:

Let P(t) and P(s) be the perimeters of the equilateral triangle and square respectively. Similarly, t and s be the side lengths of equilateral triangle and square respectively.

According to the first condition :

(Perimeter of an equilateral triangle is 11 inches more than the perimeter of a square)

$\implies P(t) = P(s) + 11$

$\implies 3t = 4s + 11....(1)$

According to the second condition :

(The side of the triangle is 6 inches longer than the side of the square)

$\implies t = s + 6....(2)$

From equations (1) & (2)

3(s + 6) = 4s + 11

3s + 18 = 4s + 11

3s - 4s = 11 - 18

-s = - 7

s = 7 inches

$\because t = s + 6$

$\because t = 7 + 6$

$\because t = 13\: inches$

Thus the side of the triangle is 13 inches long.

7 0

3 years ago

Suppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that t

nexus9112 [7]

Answer:

H0: μ ≥ 16

H1: < 16

−2.748749;

0.011275;

Reject the Null

Step-by-step explanation:

Given the data:

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Null hypothesis ; H0: μ ≥ 16

Alternative hypothesis ; H1: < 16

Sample size, n = 10

From the data:

Using calculator,

Sample mean, m = 15.887

Standard deviation, s = 0.13

The test statistic, T

(m - μ) / s/sqrt(n)

(15.887 - 16) / (0.13/sqrt(10))

= −2.748749

Using the p value from test statistic calculator :

Degree of freedom (df) = 10 - 1 = 9 at 0.05 significance level is 0.011275

Since the p value is < 0.05

0.011 < 0.05

We reject the Null and conclude that the mean fill weight is less than 16 oz

7 0

3 years ago

At the city museum, child admission is

Vlad1618 [11]

Let's make
A = adult tickets sold
C = child tickets sold
A + C = 162
5.90C + 9.50A = 1182.60

if .. A+C = 162 then A = 162 - C
substitute (162 - C) for A in the other equation.

5.9C + 9.5(162-C) = 1182.6
5.9C + 1539 - 9.5C = 1182.6
-3.6C + 1539 = 1182.6
-3.6C = 1182.6 - 1539
-3.6C = -356.4
C = -356.4/-3.6
C = 99 tickets

5 0

3 years ago

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