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nadezda [96]
3 years ago
14

A group of friends is roping off a soccer field in a back yard. A particular full-size soccer field is a rectangle with a length

of 100 yards and a width of 50 yards. To fit the field in the back yard, the group needs to reduce the size of the field so its perimeter is 60 yards.
What is the Area of the soccer field in the back yard?
Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

200 ft

The original perimeter would be 300, so divided by 5, it would be 60. 100/5 is 20, 50/5 is 10. 20*10 is 200.

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If 2^(x+3) - 2x = k(2^x) what is the value of k
svlad2 [7]

Answer:

\large\boxed{C)\ 7}

Step-by-step explanation:

Use:

a^n\cdot a^m=a^{n+m}

2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7

8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac

8 0
4 years ago
You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em
nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

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= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

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= $9.50

e. Weekly net pay

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= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

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8 0
3 years ago
While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o
Vlada [557]

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

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s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0
3 years ago
the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and
Readme [11.4K]

Step-by-step explanation:

Number of employees in 9 years

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= 870 * (0.98)⁹

≈ 725 employees.

8 0
3 years ago
What is​ 35 ​written as a percent?
Otrada [13]
It is written as 35% or 0.35

Hope this helps!! :)
6 0
3 years ago
Read 2 more answers
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