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sineoko [7]
2 years ago
14

Customers at a candy store took a survey. The results showed that 126 customers preferred chocolate candy. This represented 35%

of the total number of customers who took the survey. How many customers took the survey?
Mathematics
1 answer:
zepelin [54]2 years ago
5 0

Answer:

360

Step-by-step explanation:

1. Set up your equation!

\frac{35}{100} = \frac{126}{x}

2. Cross multiply to solve!

100 times 126 = 12600

35 times x = 36x

3. Continue!

12600=35x

4. Divide the coefficient on both sides to get the variable by itself

\frac{12600}{35}=x (the 35 cancels out)

12600 divided by 35 = 360

And there’s your answer! 360

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An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
3 years ago
You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w
Trava [24]

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

6 0
3 years ago
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The area of a rectangle is 44m. The height is 11/3m. What is the length?
iogann1982 [59]

Width of the rectangle is 12m

<u>Explanation:</u>

<u></u>

Area of rectangle = 44m

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area of rectangle = length X breadth

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Therefore, width of the rectangle is 12m

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Answer:

D) The expression 9 - p has exactly 2 terms

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