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user100 [1]
3 years ago
12

The largest of three consecutive integers is three times the smallest. What is the largest integer?

Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

3

Step-by-step explanation:

x = smallest

x + 1

x + 2 = largest

x + 2 = 3x

2 = 2x

x = 1

3 consecutive numbers:  1, 2, 3

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The volume of a rectangular prism is given by the expression 2x^4+2x^3-4x^2-4x. Write the volume as the product its dimensions.
telo118 [61]
<h3>Answer:  2x(x^2-2)(x+1)</h3>

=========================================================

Explanation:

First factor out the GCF 2x

2x^4+2x^3-4x^2-4x

2x*x^3+2x*x^2-2x*2x-2x*2

2x(x^3 + x^2 - 2x - 2)

Then let's factor the expression inside the parenthesis using the factor by grouping method

x^3 + x^2 - 2x - 2

(x^3 + x^2) + (- 2x - 2)

x^2(x + 1) - 2(x + 1)

(x^2 - 2)(x+1)

We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)

Overall, the original expression fully factors to 2x(x^2-2)(x+1)

length = 2x

width = x^2-2

height = x+1

The order of length, width, and height doesn't matter.

7 0
2 years ago
Translate question into an equation, let x be unknown number 6.4 is 90% of what number?
lisov135 [29]
1 \% = \frac{1}{100}\\ \\90 \% * x =6.4  \\ \\\frac{90}{100}x=6.4  \\ \\\frac{9 }{10 }x=6.4 \ \ *(\frac{10}{9})\\ \\x= 6.4 *\frac{10}{9}\\ \\x=\frac{64}{9}\\ \\x = 7\frac{1}{9}
8 0
3 years ago
Read 2 more answers
In a customer survey of 500 people, 200 indicated they would be buying a major appliance within the next month. 150 would buy a
tiny-mole [99]
150 are buying a car, right? Or solid that say cat...
8 0
3 years ago
Andre said, I found two figures that are congruent, so they can’t be similar.” Diego said, No, they are similar! The scale facto
Scilla [17]

Answer:


Step-by-step explanation:

Diego is correct they have to be similar

5 0
3 years ago
X+6y=27<br> 7x-3y=9 por metodo de igualacion
GalinKa [24]

Answer:

(3,4)

Step-by-step explanation:

The system of equations is:

x+6y=27

7x-3y=9.

I looked up "metodo de igualacion". It is basically American for doing substitution.

However, the only difference is you are asked to solve both equations for a variable.

The first equation looks easy to solve for x. So I'm going to solve both equations for x.

x+6y=27

Subtract 6y on both sides:

x     =-6y+27

7x-3y=9

Add 3y on both sides:

7x    =3y+9

Divide both sides by 7:

x     =3/7 y +9/7

So both equations are solved for x.  You want to find when the x's are the same because you are looking for a common amongst the lines given.

So we have

-6y+27=3/7 y  +9/7

I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:

-42y+189=3y + 9

Now add 42y on both sides:

         189=45y+9

Subtract 9 on both sides:

        180=45y

Divide both sides by 45:

            4=y

If 4=y, then y=4.

So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.

I like the x=-6y+27 with y=4.

So replace y with giving you:

x=-6(4)+27

x=-24+27

x=3

So the solution is (x,y)=(3,4).

x=3 and y=4.

8 0
3 years ago
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