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3 years ago

this box can be packed with 48 unit cubes the edge length each unit cube is 1 meter what is the voume of the box

2 answers:

4 0

Since each cube has a volume of 1 cubic meter and the box and fit 48 unit cubes the volume of the box is 48 cubic meters.

Zina [86]3 years ago

3 0

Answer:

$48\ m^{3}$

Step-by-step explanation:

we know that

The volume of a cube is equal to

$V=b^{3}$

where

b is the side length of the cube

Find the volume of the unit cube

we have

$b=1\ m$

substitute

$V=1^{3}=1\ m^{3}$ -----> volume of the unit cube

To find the volume of the box multiply $48$ by the volume of the unit cube

$48*1=48\ m^{3}$

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How much in Federal taxes does Curtis pay annually?

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4 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

8 0

3 years ago

Write an equation: The sides of a rectangle are x and ( x - 4 ). The perimeter is 87

Svetlanka [38]

The perimeter of a rectangle, is all of the sides added up.

In a rectangle, there are two widths (right and left), and two lengths (up and down)

So:

Perimeter = 2 × width + 2 × length.

To get the equation we just substitute in the values that we are given:

length = (x)

width = (x - 4)

perimeter = 87

So just put these values into: perimeter = 2 × width + 2 × length:

87 = 2(x) + 2(x - 4)

_____________________________

Answer:

The equation is: 87 = 2(x) + 2(x - 4)

(note: this can be simplified down like so:

87 = 2x + 2x - 8

87 = 4x - 8

95 = 4x

23.75 = x

)

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3 years ago

Jeremy wants to buy a new computer. The saleswoman says that he can make a down payment and then pay for the computer in install

slava [35]

Answer:

$t=x+yz$

Step-by-step explanation:

We are given the equation;

$x=t-yz$

and asked to make t the subject of the formula. We simply take the term yz to the left hand side of the equation leaving t as the subject in the right hand side. Thus, the total price is equal to the down payment + total installments

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3 years ago