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victus00 [196]
3 years ago
15

Find the absolute value of 6/8

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

0.75

Step-by-step explanation:

6 / 8 =

0.75

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Put the following equation of a line into slope-intercept form, simplifying all
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y = 3/4 + 7

Step-by-step explanation:

you must put the equation into the form of y = mx + b

add 6x to both sides and put it in front of the 56

8y = 6x + 56

y must be by itself by x does not so we divide everything by 8

y = 6/8x + 7

we must simplify the fraction 6/8

y = 3/4x + 7

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The table shows the age and finish time of ten runners in a half marathon.
tiny-mole [99]

Answer:

Left box: Outlier in this data set is (57,132)

Right box: because the finish time looks faster than expected for the age.

Step-by-step explanation:

As per the given table shows the age and finish \ time of 10 runners.

It is clear that people of age around 35 are finishing at around 142 \ minutes

and person with older age takes longer to finish.

One person of age 57 finishes in 175 \ minutes , that looks as expected.

Another person of same age (57) finishes it too fast which is unexpected.

Therefore (57,132) is an outlier, because it looks a faster finish as per expected.

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Two friends sold many pieces of furniture and made ​$1550 during their garage sale. They had fifteen more​ $10 bills than​ $50 b
Novosadov [1.4K]

Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550    (1)

Also, since we have fifteen more​ $10 bills than​ $50 bills, n₁ = n₃ + 15  (2)

and we have 4 more than three times as many​ $20 bills as​ $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

3 0
3 years ago
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