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2 answers:
<span>10 – 5m = 25
10 - 25 = 5m
-15 = 5m
m = -15/5
m = -3
------------------------
</span><span>3n + 7 = 28
3n = 28 - 7
3n = 21
n = 21/3
n = 7
------------------------------
</span><span>5y + 1.8 = 4y – 3.2
</span>5y - 4y = -3.2 - 1.8
y = -5
--------------------------------
<span>Solve V = ℓwh for w
</span>
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<span>The sides of a rectangle are in the ratio 3:2. What is the length of each side if the perimeter of the rectangle is 55 cm?
length=3x
width=2x
2(3x + 2x) = 55
2(5x) = 55
10x = 55
x = 55/10
x = 5.5
</span>length= 3x = 3 * 5.5 = 16.5
width= 2x = 2 * 5.5 = 11
Answer: <span>11 cm, 11 cm, 16.5 cm, 16.5 cm
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</span><span>43 – 3d = d + 9
43 - 9 = d + 3d
34 = 4d
d = 34/4
d = 8.5
------------------------------------
</span><span>Two planes leave an airport the same time and travel in opposite directions. One plane averages 300 miles per hour, and the other plane averages 600 miles per hour. When will they be 2700 miles apart?
2700 / (300+600) = 2700 / 900 = 3 hr
----------------------------------------------------
</span><span>4(k + 5) = 2(9k – 4)
4k + 20 = 18k - 8
20 + 8 = 18k - 4k
28 = 14k
k = 28/14
k = 2
------------------------------------------------
</span><span>Solve S = 2πrh for r.
</span>
<span>
</span>
10 - 25 = 5m
-15 = 5m
m = -15/5
m = -3
------------------------
</span><span>3n + 7 = 28
3n = 28 - 7
3n = 21
n = 21/3
n = 7
------------------------------
</span><span>5y + 1.8 = 4y – 3.2
</span>5y - 4y = -3.2 - 1.8
y = -5
--------------------------------
<span>Solve V = ℓwh for w
</span>
-----------------------------------------------------------
<span>The sides of a rectangle are in the ratio 3:2. What is the length of each side if the perimeter of the rectangle is 55 cm?
length=3x
width=2x
2(3x + 2x) = 55
2(5x) = 55
10x = 55
x = 55/10
x = 5.5
</span>length= 3x = 3 * 5.5 = 16.5
width= 2x = 2 * 5.5 = 11
Answer: <span>11 cm, 11 cm, 16.5 cm, 16.5 cm
------------------------------------------------------------
</span><span>43 – 3d = d + 9
43 - 9 = d + 3d
34 = 4d
d = 34/4
d = 8.5
------------------------------------
</span><span>Two planes leave an airport the same time and travel in opposite directions. One plane averages 300 miles per hour, and the other plane averages 600 miles per hour. When will they be 2700 miles apart?
2700 / (300+600) = 2700 / 900 = 3 hr
----------------------------------------------------
</span><span>4(k + 5) = 2(9k – 4)
4k + 20 = 18k - 8
20 + 8 = 18k - 4k
28 = 14k
k = 28/14
k = 2
------------------------------------------------
</span><span>Solve S = 2πrh for r.
</span>
</span>
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Answer:
82.47
Step-by-step explanation:
area of fountain: 201.06(see photo 1)
area of fountain and walkway:283.53(see photo 2)
area of walkway:82.47(subtract fountain area from fountain and walkway)
We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation
Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4