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natulia [17]
3 years ago
14

A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the

equation that models the volume of the box. Let x represent the width. Solve the equation. Find the width and height of the box.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Answer:

<em>V = 16x² </em>

<em>Width = 12in</em>

<em>Height = 12in</em>

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

<em>V = 16x² (This gives the required equation)</em>

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

<em>Hence the width and the height are both 12inches since they are the same.</em>

<em></em>

For the sma

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Help please!!!!! ASAP!!! Only brainliest answer gets points. No wrong answers. Only answer if you know how to do this.
FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

      = a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

-.09 = -rate of decrease

rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee


Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False  there were 40 pounds when we started


The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True  see above calculations


There were 4000 pounds of coffee in stock when the trend began.

False  see above calculations


There were 40 pounds of coffee in stock when the trend began.

True  see above calculations


The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

False  see above calculations


4 0
3 years ago
Which of the following is equal to the rational expression when x -2 or -1? x^2-4/(x+2)(x+1)
Orlov [11]

Answer:

(x+2)(x+1)

Step-by-step explanation:

Assuming im interpreting this correctly, it should be (x+2)(x+1), since if you plug in -2 and -1, it will give you 0, which is the answer.

8 0
3 years ago
Z = -3x +5y<br> Minimum value of z?
NeTakaya

Answer:

minimum value of z is 0

Step-by-step explanation:

if x and y both equal zero, then the value of z is zero, which is your answer.

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3 years ago
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Nimfa-mama [501]

Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

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<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>the </em><em>given </em><em>ratio </em><em>are </em><em> </em><em>7</em><em>:</em><em>5</em><em>:</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>let </em><em>the </em><em>ratio </em><em>be </em><em>X </em><em>,</em><em>now</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Maria </em><em>=</em><em> </em><em>7</em><em>X</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Carolina</em><em> </em><em>=</em><em> </em><em>5</em><em>X</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Pedro </em><em>=</em><em> </em><em>4</em><em>X</em>

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<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em> </em><em>adding</em><em> </em><em>all </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em>. </em><em>7</em><em>x</em><em> </em><em>+</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>$</em><em>1</em><em>6</em><em>0</em><em>0</em>

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<em> </em><em> </em><em> </em><em> </em><em> </em><em>Pedro</em><em> </em><em>=</em><em> </em><em>4</em><em>*</em><em>1</em><em>0</em><em>0</em><em> </em><em>=</em><em> </em><em>$</em><em>4</em><em>0</em><em>0</em>

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8 0
3 years ago
Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca
liberstina [14]

Answer:

<em>The greatest number of song he can practice in a week is  2.</em>

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is  x

He practices each song for 3\frac{1}{2} hours. So, the total time required for practicing x number of songs = (3\frac{1}{2}*x) hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2

<em>(Rounded as the greatest whole number)</em>

Thus, the greatest number of song he can practice in a week is  2.

4 0
3 years ago
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