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nalin [4]
3 years ago
14

A rectangle has a width of 2.5 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the valu

e of the area of the rectangle. Graph a system of linear equations to find x .
Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

Step-by-step explanation:

W=2.5, L=x

A=LW=2.5x

P=2(L+W)=2(2.5+x)=5+2x

P=A

5+2x=2.5x

5-0.5x=0

-0.5x=-5

x=10

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Based on the work shown on the right, check all of the possible solutions of the equation.
Mazyrski [523]

Incomplete question. However, here is a similar question attached.

Solve 3x^2 + 17x - 6 = 0.

Based on the work shown to the left, which of these values are possible solutions of the equation? Check all of the boxes that apply

A X=-6

B X=6

C X=-1/3

D X=1/3

E X=0

Answer:

A and D

Step-by-step explanation:

Note that such question requires using completing the square method of solving equations. By using the values X= -6 and X= 1/3 we arrive at a solution.

7 0
3 years ago
David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be
user100 [1]

Answer:

David earns $10.14 per hour.

Step-by-step explanation:

David earns for an hour = $8.59

He gets benefits package that is equal to 18% of his hourly wages.

18% of 8.59

\frac{18}{100} × 8.59

= 0.18 × 8.59

= $1.5462 ≈ $1.55

David's per hour earning = $8.59 + $1.55 = $10.14

David earns $10.14 per hour.

8 0
3 years ago
Read 2 more answers
401(k) accounts are those that are partially funded by employers using a portion of wages before tax: true or false?
olga nikolaevna [1]

Answer:

FALSE

Step-by-step explanation:

It is false because 401(k) accounts are not funded by employer's wages but  <em>employees' </em>wages ; the latter voluntarily make contributions to a retirement account that is taken out of their wages before taxes . Employers on the other hand may partially or fully match a portion of these contributions.

7 0
3 years ago
How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
laryy has 3 packets of ballons with 15 ballons in each packet. he wants to put the same number of balloons into 10 gift bags wha
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larry has 3 packer sin each 15 and total are 45 u wish put in 10 bags then divide 45 by 10 anser is 5

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3 years ago
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