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3 years ago

5

Marylou buys a package of 500 jewels to decorate 4 different pairs of jeans. She uses the same number of jewels on each pair of

jeans how many jewels will she use for each pair of jeans?

1 answer:

patriot [66]3 years ago

4 0

500 divided by 4 = 125 so
125 jewels on each pair of jeans

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Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

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4 years ago

What type of graph is best to use for making comparisons among data?

Svetach [21]

Answer: Bar graph :)

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2 years ago

What is the value of a in the equation 0.75 (a - 2) = 5.25

irga5000 [103]

X=9 mark as brainlest if this helps ;)

6 0

3 years ago

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Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. T

SIZIF [17.4K]

Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

<h3>Car's sticker price and dealer's price</h3>

a. Car's sticker price:

Using this formula

Car's sticker price=Base price+Options cost+Destination charge

Let plug in the formula

Car's sticker price=$16,558. 16 + $611. 60+$475. 00

Car's sticker price=$17,644.76

b. Dealer price:

Dealer's price=Percent of base price+Percent of options cost+Destination charge

Let plug in the formula

Dealer price=16,558. 16+$611. 60+$475.00

Dealer price=$16,246.7152

Dealer price=$16,246.72 (Approximately)

Inconclusion the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

Learn more about car's sticker price here:brainly.com/question/8759334

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3 years ago

Consider the system of equations

Free_Kalibri [48]

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

2(5x-2y=1)

10x-4y=2

now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

10x-4y=2 equals

2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

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3 years ago

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