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3 years ago

The surface area of a cube is 1,014^2. Find the volume of the cube.

1 answer:

7 0

Let the length of one side of the cube be x. Then the surface area of the cube is A = 6x^2 = 1014 cubic units. We want the cube volume, so must first solve for x and then cube the result:

1014 cu. in.
x = square root of ----------------- = sqrt(169) = 13
6

The volume of this cube is thus (13 units)^3 = 4826809 cubic units.

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Mr. Santos purchased pizza and soda. Each pizza cost $14.50. He spent $127 on the soda. If he spent $315.50, use the equation 14

natali 33 [55]

Answer:

13 pizzas he bought

Step-by-step explanation:

315.50 - 127 = 188.50 then do 188.50 divided by 14.50 = 13

Hope this helps :)

4 0

3 years ago

Brooke has to set up 70chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the

Zinaida [17]

Answer:

R = rows

C = columns

The chairs will be arranged in a way such that R * C $\geq$ 70

We know that R $\leq$ 20

70 / 20 = 3.5; however, you can't have half of a chair.

So find all the factors of 70 which don't exceed 20.

1, 70

2, 35

<h2>5, 14</h2><h2>7, 10</h2><h2></h2><h2>There are four ways that Brooke can set up the chairs:</h2><h2>5 rows of 14</h2><h2>7 rows of 10</h2><h2>10 rows of 7</h2><h2>14 rows of 5</h2>

3 0

3 years ago

Lastima Nelson, Inc. is recruiting a new Chief Financial Officer (CFO). The recruiting budget is $44,000. Lastima has spent $10,

Musya8 [376]

The budget is $44000

Total spent so far is $10000 + $8500 = $18500

The amount left to spend = 44000 - 18500 = $25500

$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget

Let the maximum price of the home be $x$
This value of $x$ will be the 100% before the 6% commission is calculated of it.

6% of $x$ is 25500
1% of $x$ is 25500 ÷ 6 = $4250
100% of $x$ is 4250 × 100 = $425,000

So, the maximum value of the home is $425,000

5 0

3 years ago

For each of the graphs below choose inequality that best represent the graph. explain your reasoning.

Sveta_85 [38]

The desired inequalities are given as follows:

A. A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

B. D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

<h3>Which inequality represents graph A?</h3>

For graph A, as nothing is plotted on the line, we have a inequality with no solution.

The successor of a number(number plus 1), will always be greater than the number, hence the inequality that has no solution is:

A. x > x + 1. because solving it yields an inequality that is False for all real numbers x.

<h3>Which inequality represents graph B?</h3>

For graph B, as the entire line is plotted, we have a inequality with all real values as solution.

From the same logic above, of the successor, the correct option is:

D. x < x + 1, because solving it yields an inequality that is True for all real numbers x.

More can be learned about inequalities at brainly.com/question/25235995

#SPJ1

4 0

2 years ago

An investment website can tell what devices are used to access their site. The site managers wonder whether they should enhance

lbvjy [14]

Answer: a) Unimodal and symmetric

b) 0.26

c) 0.038

Step-by-step explanation:

Given: Sample size of investors (n)= 131

True proportion of smartphone users(p) =26%

a) Since sampling distribution for the sample proportion is approximately normal when n is larger.

Normal distribution is Unimodal and symmetric.

So correct option : Unimodal and symmetric

b) mean of this sampling distribution = p = 0.26

c) standard deviation of the samplingdistribution = $\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26\times (1-0.26)}{131}}=\sqrt{0.00146870229008}$

$=0.0383236518364\approx0.038$

6 0

3 years ago