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butalik [34]
2 years ago
5

After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?

Mathematics
1 answer:
Finger [1]2 years ago
7 0

Answer:

\$20,000

Step-by-step explanation:

Let

x -----> Hermione was earning before the pay raise

we know that

100\%+5\%=105\%=105/100=1.05

so

The linear equation that represent this problem is

1.05x=21,000

Solve for x

Divide by 1.05 both sides

x=21,000/1.05

x=\$20,000

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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4
shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

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<u><em>Hope This Helps :p</em></u>

8 0
2 years ago
Read 2 more answers
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards,
hjlf

Answer:

a) 0.9644 or 96.44%

b) 0.5429 or 54.29%

Step-by-step explanation:

a) The probability that at least 1 defective card is in the sample P(A) = 1 - probability that no defective card is in the sample P(N)

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 20

Total number of non defective cards = 140-20 = 120

P(N) = Number of possible selections of 20 non defective cards ÷ Number of possible selections of 20 cards from all the cards.

P(N) = 120C20/140C20 = 0.0356

From equation 1

P(A) = 1 - 0.0356

P(A) = 0.9644 or 96.44%

b) Using the same method as a) above

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 5

Total number of non defective cards = 140-5 = 135

P(N) = 135C20/140C20 = 0.457

From equation 1

P(A) = 1 - 0.4571

P(A) = 0.5429 or 54.29%

8 0
2 years ago
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
san4es73 [151]
A taco costs $5
This is because there was no difference in the cost except for $5. The only item added was one taco. Drinks cost $2 each.
4 0
2 years ago
In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives
scoundrel [369]

Answer:

x = 4

Step-by-step explanation:

3 0
2 years ago
What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?
MrRa [10]

Answer:

Quotient: 2x^2+x-3

Please see the attachment.

Step-by-step explanation:

Given: (2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of 2x^4 by x^2

x^2-2x+1 ) 2x^4-3x^3-3x^2+7x-3 ( 2x^2+x-3

                 -2x^4+4x^3-2x^2

                              x^3-5x^2+7x

                               -x^3+2x^2-x

                                      -3x^2+6x-3

                                      3x^2-6x+3

                                              0

Hence, The quotient of division is 2x^2+x-3

8 0
2 years ago
Read 2 more answers
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