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Ganezh [65]
3 years ago
10

What is the y-value to the solution of y = 5x -4 and y = 2x + 8

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0

Answer:

At the bottom!

Step-by-step explanation:

Put the two equations into the same standard form:

2x-y=8

-5x+2y=3

Now if you add the two equations up, guess what will happen?

You will "eliminate" the y variable, and only be left with the x variable.

Technically, you will get:

2x-y+2+28-5x+29+2y=8+23

-3x+20y=11

-3x=11

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A department store sells small boxes in which customers can store potpourri. The diagram below shows one of the boxes. The diagr
larisa86 [58]
The lateral area is expressed as the product of the perimeter of the base and the height. While the surface area is the sum of all areas. The lateral area and the surface area of the box is calculated as follows:

LA = Ph 
P = 2l + 2w = (2 x 17) + (2 x 5) = 44 cm
LA = 44 cm x 3.12 cm = 137.28 cm

SA = 2(lw + wh + lh)
SA = 2[(17x5) + (5x3.12) + (17x3.12)]
SA = 307.28 cm

Thus, the lateral area and the surface area are 137 cm and 307 cm, respectively.
8 0
3 years ago
Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black
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Answer:

The objective of the problem is obtained below:

From the information, an urn consists of, 4 black, 2 orange balls and 8 white.

The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.

No winnings probability= 0.011

Probability of winning $1=0.3516

Probability of winning $2= 0.0879

Probability of winning $4= 0.0659

5 0
3 years ago
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja
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Answer:

$ 31050

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating simple interest.</em>

Simple Interest = <u>P x R x T </u>

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

<em>Step 2: Substitute values in the formula</em>

Simple Interest = <u>30,000 x 6 x 7/12</u>

                                       100

Simple Interest = $1050

<em>Step 3: Calculate the amount due at maturity</em>

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

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3 years ago
How do you use the least common multiple to write two or more fractions with a common denominator
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The answer is y = 0.5 x
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