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Andre45 [30]
1 year ago
12

Erica earns $11.00 per hour and works a 40 - hour workweek. She is paid time and a half for every hour worked over 40 hours duri

ng a week. Erica earned $60 5.00 last week. How many overtime hours did she work?
Mathematics
1 answer:
GREYUIT [131]1 year ago
5 0
Base pay = $11 x 40 or $440

$605 - 440 = $165 in overtime
Overtime is 1.5 (1 and a half times) her usual salary

11 x 1.5 = $16.50

$165 ÷ $16.50 = 10 hours of overtime.
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Sidana [21]
We need to find the distance between (7, 5) and (10, 11) and double it, since they run it twice. We can do this as follows: 2√(11-5)² + (10-7)² = 2√36 + 9 = 2√45 = 6√5.
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Hope this helps!
6 0
2 years ago
A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance be
LUCKY_DIMON [66]

For a better understanding of the solution provided please go through the diagram in the file attached.

Let ABCD be the rectangular yard. The diagonal d=17 meters. AD=8 meters. Therefore, the length of DC can be found by applying the Pythagorean theorem in the right triangle \Delta ADC as:

DC=\sqrt{17^2-8^2}=\sqrt{(AC)^2-(AD)^2}=\sqrt{225} =15 meters.

6 0
1 year ago
1. tentukan hasil dari 243⅔?
Vesnalui [34]

Penjelasan langkah demi langkah:

1)

= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

 = (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6}  \\= 10^2 \times 2\\= 100 \times 2\\= 200

4) 3/4+√2

3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}

9)

\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

7 0
2 years ago
The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally dist
Maksim231197 [3]

Answer:b)0.8577

Step-by-step explanation:

Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = heights of men

u = mean height

s = standard deviation

From the information given,

u = 69 inches

s = 2.8 inches

We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as

P(x < 72)

For x = 72

z = (72 - 69)/2.8 = 1.07

Looking at the normal distribution table, the probability corresponding to the z score is 0.8577

P(x < 72) = 0.8577

7 0
1 year ago
Bryan’s golf coach suggested he take some golf lessons. The Pro at Windy Fairways charges $20.00 per month plus $10.00 per lesso
Aneli [31]

Bryan has to take 8 classes for both Pro's to be the same price.

Step-by-step explanation:

Given,

Monthly charges of Pro at Windy = $20.00

Charges per lesson = $10.00

Let,

x be the number of lessons

W(x) = 10x +20

Monthly charges of Sunny Sands = $100.00

They offer unlimited classes.

S(x) = 100

For the price to be same;

W(x) = S(x)

10x+20=100\\10x=100-20\\10x=80

Dividing both sides by 10

\frac{10x}{10}=\frac{80}{10}\\x=8

Bryan has to take 8 classes for both Pro's to be the same price.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/12012120
  • brainly.com/question/12041380

#LearnwithBrainly

5 0
1 year ago
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