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kakasveta [241]
3 years ago
6

Explain each step in solving.

Mathematics
1 answer:
Anika [276]3 years ago
4 0
Basically, what you are doing is taking the problem apart and then flipping the coefficients. Your result is 7/2+3x/2
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What is the median of the data set below? 57, 21, 11, 35, 43, 19​
Naily [24]

Answer:

28

Step-by-step explanation:

Arranged it in order and got 28 :)

8 0
3 years ago
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In a discus competition an athlete threw the discus 63.37 meters 62.92 meters and 63.7 meters order the distances from least to
maksim [4K]
62.92 meters, 63.37 meters, 63.7 meters
4 0
3 years ago
Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h
matrenka [14]

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

4 0
2 years ago
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
3 years ago
A water park sold 14 child tickets and 6 adult tickets. What percentage of
steposvetlana [31]
Total tickets sold :
14 + 6 = 20

fraction of child tickets sold = 14/20

then, we convert this fraction to %.

14/20 = 70/100
( multiply by 5 )

percentage = 70%
5 0
3 years ago
Read 2 more answers
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