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igomit [66]
3 years ago
11

The sum of three consecutive integers is 108. Which equation would be used to solve this word problem? (HINT: The equation has b

een simplified some...)
Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0
3 consecutive integers : x, x + 1, x + 2

x + (x + 1) + (x + 2) = 108...ur equation
3x + 3 = 108...ur equation that has been simplified some
Ilia_Sergeevich [38]3 years ago
3 0
The easiest way to solve problems with consecutive integers is set the first as:
1st number =( x-1)
2nd number = x
3rd number = (x+1) [since all are consecutive)

(x-1) + x + (x+1) = 108
3x = 108
x = 36
Obviously you could have set x. the 1st; x+1 the 2nd & x+2 the 3rd & you would reach the same result x =36
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A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade attached by a b = 5-inch arm at the ce
nika2105 [10]
It the wiper blade (and arm) made a full rotation, 2 circles would be formed.

One small circle with radius b, and a larger circle with radius a+b.


The areas of these 2 circles are respectively:

\pi b^2=\pi\cdot 5^2=25 \pi (in^2)    and

\pi (a+b)^2=\pi (14+5)^2=361\pi (in^2)


120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

\frac{25 \pi}{3} and \frac{361\pi}{3} in squared respectively.

the actual wiped area is \frac{361\pi}{3}-\frac{25 \pi}{3}= \frac{336\pi}{3}=112\pi \approx351.7 (in squared)


Area of the window is 54*24= 1296 (in squared)

thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271

Converted to percentages, this is 27.1%


Answer: 27.1%

3 0
3 years ago
The large rectangle below represents one whole.
goblinko [34]

Answer:

See below

Step-by-step explanation:

If the whole rectangle were shaded (all 25 parts) that would be 100%

So, we can set up a proportion.

25 = 100%

11 = x

Then, cross-multiply to get,

25x = 1100

Divide both sides by 25 to solve for x

x = 44.

The x value represents the percentage shaded.

44%

7 0
1 year ago
5x + 3y = 7<br> 4x + 5y = 3<br> How do I solve
wel

Answer:

9x+8y

Step-by-step explanation:

first you would take your liked terms and combine them.

1. 5x+4x=9x

2. 3y+5y=8y

3 0
2 years ago
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Step-by-step explanation:

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3 0
2 years ago
The stem-and-leaf plot above shows house sale prices over the last week in Tacoma. What was the most
VikaD [51]

Answer:

the answer is 2

Step-by-step explanation:

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