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diamong [38]
3 years ago
7

How do I solve this 2 step equationn? y/6 - 7 = 4

Mathematics
2 answers:
scoray [572]3 years ago
6 0

Answer: by isolating the variable

Step-by-step explanation:

Y/6 -7=4

Y/6-7+7=4+7

Y/6=11

Y/6*6=11*6

Y=66

romanna [79]3 years ago
3 0

Answer: y= 66

Step-by-step explanation: Well first you would do +7 on both sides and then it would be Y/6=4+7, then you would multiply 6 on both sides which then you would have y=24+42 which simplified it would be y=66

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You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money
NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0
3 years ago
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20
densk [106]

Answer:

P_{20} = 20 --- 20th percentile

P_{25} = 21.75  --- 25th percentile

P_{65} = 27.85   --- 65th percentile

P_{75} = 29.5   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

P_{20} = 20 * \frac{N +1}{100}

P_{20} = 20 * \frac{8 +1}{100}

P_{20} = 20 * \frac{9}{100}

P_{20} = \frac{20 * 9}{100}

P_{20} = \frac{180}{100}

P_{20} = 1.8th\ item

This is then calculated as:

P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)

P_{20} = 16 + 0.8*(21 - 16)

P_{20} = 16 + 0.8*5

P_{20} = 16 + 4

P_{20} = 20

Solving (b): The 25th percentile

This is calculated as:

P_{25} = 25 * \frac{N +1}{100}

P_{25} = 25 * \frac{8 +1}{100}

P_{25} = 25 * \frac{9}{100}

P_{25} = \frac{25 * 9}{100}

P_{25} = \frac{225}{100}

P_{25} = 2.25\ th

This is then calculated as:

P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)

P_{25} = 21 + 0.25(24-21)

P_{25} = 21 + 0.25(3)

P_{25} = 21 + 0.75

P_{25} = 21.75

Solving (c): The 65th percentile

This is calculated as:

P_{65} = 65 * \frac{N +1}{100}

P_{65} = 65 * \frac{8 +1}{100}

P_{65} = 65 * \frac{9}{100}

P_{65} = \frac{65 * 9}{100}

P_{65} = \frac{585}{100}

P_{65} = 5.85\th

This is then calculated as:

P_{65} = 5th + 0.85(6th - 5th)

P_{65} = 27 + 0.85(28 - 27)

P_{65} = 27 + 0.85(1)

P_{65} = 27 + 0.85

P_{65} = 27.85

Solving (d): The 75th percentile

This is calculated as:

P_{75} = 75 * \frac{N +1}{100}

P_{75} = 75 * \frac{8 +1}{100}

P_{75} = 75 * \frac{9}{100}

P_{75} = \frac{75 * 9}{100}

P_{75} = \frac{675}{100}

P_{75} = 6.75th

This is then calculated as:

P_{75} = 6th + 0.75(7th - 6th)

P_{75} = 28 + 0.75(30- 28)

P_{75} = 28 + 0.75(2)

P_{75} = 28 + 1.5

P_{75} = 29.5

7 0
3 years ago
if you took a loan of fifteen million dollars from the bank and the loan is to be repaid in ten years at a simple interest of 5%
Vikki [24]

$750000 for all 10 years and $375000 for just ten years

7 0
3 years ago
Work out the area of this quarter circle of radius 8 cm.<br> Give your answer in terms of pie
Bess [88]

16pi

Step-by-step explanation:

pi x r² = ans ÷ 4 = Answer for area

Pi×8²=64pi ÷ 4 = 16pi

3 0
3 years ago
What is 8.1% of 252?<br>​
VMariaS [17]

Answer:

20.412

Step by step explanation:

8.1% of 252 = 0.081 × 252 = 20.412

7 0
3 years ago
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