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3 years ago

What is the factored form of 5xy − 40x − 15y + 120?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

5 0

5xy-40x-15y+120=0
5(xy-8x-3y+24)=0
xy-8x-3y+24=0
(x-3)(y-8)=0

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What is the value of x if the perimeter of both shapes is the same?

AveGali [126]

The value of x is: $\frac{4}{3}$

Recall:

Perimeter of a shape is the sum of all its sides

Thus:

Perimeter of the triangle = $x + x +x+ 4 = 3x + 4$

Perimeter of the rectangle = $2(2x) + 2(x) = 4x + 2x = 6x$

We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.

$3x + 4 = 6x$

Add like terms

$4 = 6x - 3x\\4 = 3x$

Divide both sides by 3

$\frac{4}{3} = x\\x = \frac{4}{3}$

The value of $x = \frac{4}{3}$

Learn more here:

brainly.com/question/20562416

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2 years ago

A grocery store sells 6 oranges for $2. Assume that the cost you f the oranges varies directly with the number of oranges. This

Flura [38]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

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1 year ago

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IceJOKER [234]

I believe it’s D. X=2

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2 years ago

Find the discriminant of each quadratic equation then state the number and type of solutions

wariber [46]

N=3
Because 6+6=12
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3 years ago