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Veseljchak [2.6K]
2 years ago
10

1/2 x 2/3 please answer I need help

Mathematics
2 answers:
bazaltina [42]2 years ago
7 0
Answer: 1/3 or 0.3 repeating
trasher [3.6K]2 years ago
4 0

Answer: 1 1/6

Step-by-step explanation:

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Hector has a part-time job at a garage. He gets a paycheck of $820 every for
ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0
2 years ago
There are 2 hikers, one of them wanders off the trail. How many hikers are left?
tangare [24]
1 hiker left the trail while 1 is still on it, so theres 1 hiker on the trail.
3 0
3 years ago
Wyatt analyzed the data from his science experiment and found that the MAD was greater than the IQR.
kotykmax [81]

Answer:

C: The average of the data is a closer to the least value than it is to the greatest value

3 0
2 years ago
HELP ME PLEASE geometry only answer if you know please!
topjm [15]

Answer:

2. Reason: Addition Property of Equality

3. Statement: 3x=18

4. Reason: Division property of Equality

5. Statement: x=6 Reason: Simplifying.

Step-by-step explanation:

I'm pretty sure this is correct.  

6 0
3 years ago
A hunter is at a point on a riverbank. He wants to get to his cabin located 2 Miles North and 8 Miles West. He can travel 5 Mph
miskamm [114]

Answer:

Option A

Step-by-step explanation:

A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.

Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"

The distance between C and P is given by

\sqrt{(2^2+(8-d)^2}\\

Let "t" be the time taken to travel distance CP.

T = \frac{d}{5} + \frac{\sqrt{2^2+(8-d)^2} }{3}

Minimum time will be when "t" is equal to zero

Differentiating the above equation wrt "d", we get -

= \frac{1}{5} + \frac{1}{3} (\frac{-2(8-d)}{2\sqrt{2^2+(8-d)^2} } )= 0\\\frac{1}{5} = \frac{1}{3} \frac{(8-d)}{\sqrt{4+(8-d)^2} } \\3\sqrt{4+64+d^2-16d} = 40-5d\\

On squaring both the sides , we get -

3\sqrt{4+64+d^2-16d} = 40-5d\\9(68+d^2-16d)= 1600+25d^2 -400d\\612+9d^2-144d=1600+25d^2 -400d\\16d^2-256d+988=0\\d_1 = 9.5\\d_2 = 6.5

"d" cannot be greater than 8 miles.

Hence, the value of "d" is equal to 6.5

Option A

8 0
2 years ago
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