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2 years ago

a cube as a volume of 1/512 cubic meter. What is the length of each side of the cube? Explain your thinking

1 answer:

3 0

First, we have to know how to get the volume of a cube.
The volume of a cube is equal to V = s^3.

Given a volume of 1/512, using the formula.
V = s^3
1/512 = s^3
s = cuberoot of 1/512
s = 1/8 meter

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sandy had 10 dollars in her collection. she gave 3 to her younger sister. her parents were so impressed that they quadrupled her

pantera1 [17]

(10-3)*4

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2 years ago

Read 2 more answers

Solve the system of equations. y= 3x y= x2-10

svetoff [14.1K]

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15, 6

In coordinate form, (-5, 2) and (2, 6)

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2 years ago

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales. How much sales must he generate in orde

iren [92.7K]

Salesperson must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

Solution:

Given that,

A salesperson is paid a base salary of $1700 per month plus a 4.25% commission on sales

Therefore,

Total salary = 1700 + 4.25 % commission on sales

How much sales must he generate in order to earn $2,816.90 per month in total compensation?

Therefore, let us first subtract the basic salary

2816.90 - 1700 = 1116.9

We have to find the sales he must generate

Let "x" be the sales he must generate

4.25 % of x = 1116.9

Therefore,

$4.25 \% \times x = 1116.9\\\\\frac{4.25}{100} \times x = 1116.9\\\\0.0425x = 1116.9\\\\x = \frac{1116.9}{0.0425}\\\\x = 26280$

Thus he must generate a sales of $ 26280 in order to earn $2,816.90 per month in total compensation

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3 years ago

Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this ques

KonstantinChe [14]

Answer:

0.1105

Step-by-step explanation:

We know that question about reporting a cheating is asked to 172 students.

So the sample size would be n=172.

Out of 172 undergraduate students only 19 students answered "yes". It means that only 19 out of 172 students are willing to report cheating and so x=19.

According to definition of proportion

proportion=number of favorable outcome/total number of outcome

p=x/n

we are given that x=19 and n=172 so,

p=19/172=0.1105.

Hence according to given data 11.05% of students are wiling to report cheating by other students.

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2 years ago

What is the equation of the line with a y-intercept of 4 and a point (8,8)?

Nookie1986 [14]

Answer:

The equation of the line with a y-intercept of 4 and a point (8,8) is $y=\frac{1}{2} *x+4$

Step-by-step explanation:

A linear equation can be expressed in the form

y = m * x + b

where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

Graphically this equation represents a line.

In this case, you know:

The point (x,y)=(8,8)
Y-intercept= 4

Replacing:

8=m*8 +4

Solving:

8-4=m*8

4=m*8

4÷8= m

$m=\frac{1}{2}$

Then, the equation of the line with a y-intercept of 4 and a point (8,8) is $y=\frac{1}{2} *x+4$

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2 years ago