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4 years ago

5x + 3 = 3x + 9 what is the value of x

Mathematics

1 answer:

erik [133]4 years ago

7 0

Answer:

x = 3

Step-by-step explanation:

5x + 3 = 3x + 9

subtract 3 on both sides (cancels out 3) (inverse operation)

5x = 3x + 6

subtract 3x on both sides (cancels out 3x) (inverse operation)

2x = 6

divide both sides by 2 (isolates x) (simplifies)

x = 3

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5) Write the expression as a product of two factors.

rosijanka [135]

Answer:

c) is the right answer.

Step-by-step explanation:

<u>The Skills needed are: GCF, Division, and Factoring</u>

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

-12's factors are: 1,2,3,4,6,12

-18's factors are: 1,2,3,6,9,18

-60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

-12x/6=2x

-18y/6=3y

-60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

4 0

3 years ago

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t

Andre45 [30]

Answer: Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

Step-by-step explanation:

Given: Width of pencil box = $5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}$

Width of seven pencils = $2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}$

Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils

$\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}$

Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil = (Width of seven pencils ) ÷ 7

$=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

3 0

3 years ago

Read 2 more answers

The fur. h is defined by the following rule.h(x) = 6*Find h(x) for each x-value in the table.X76 FSunny-2-12Explanation0000Check

muminat

Given the function:

$h(x)=6^x$

It's required to find the values of h for x = {-2, -1, 0, 1, 2}.

For x = -2:

$h(-2)=6^{-2}=\frac{1}{6^2}=\frac{1}{36}$

For x = -1:

$h(-1)=6^{-1}=\frac{1}{6^1}=\frac{1}{6}$

For x = 0:

$h(0)=6^0=1$

For x = 1:

$h(1)=6^1=6$

For x = 2:

$h(2)=6^2=36$

6 0

1 year ago

Prove if 5n+3 is odd, then 7n+4 is even

iVinArrow [24]

N = 2 , then just fill in “2” to where n would go

3 0

3 years ago

crystal is picking blueberries.so far,she has filled 2/3 of her basket,and the blueberries weigh 3/4pound .the equation 2/3w=3/4

vesna_86 [32]

In order to do this, we multiply both sides be the amount that would make the left side equal to 1. This number is the reciprocal of the fraction, so we multiply both sides by 3/2. This is equal to:

w = 9/8

So, the blueberries in crystal's basket will weigh 9/8 pounds when it is full.

7 0

4 years ago