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bazaltina [42]
3 years ago
7

There are 22 events at an indoor track and field meet. The ratio of track events to field events is 8:3. How many of the events

are track events? Explain how you found your answer.
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0
First, let's look at the ratio.
You also know that for every 8 indoor events, there is 3 field events.
Therefore, the amount of indoor events is 8 on 11 events total, as 8 + 3 = 11
 

Then, let's look at the actual number of events. If there is 22 events total, you need to solve this proportion :

\frac{8}{11} =  \frac{?}{22}
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In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l
Contact [7]

Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

a / sin(A) = c / sin(C)

714 / sin(78) = c / sin(90)

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

714 / 0.9781 = c / 1

c = 714 / 0.9781 = 730\ cm

3 0
3 years ago
Candace buys a board that is 12 feet long. The store incorrectly measures and prices the board at 13.2 feet. What is the percent
Tomtit [17]
About 10% off since you divide 100 by 12 and times it by 13.2 so the percent comes to be 109.9 to you round up amd its 10 percent over
3 0
3 years ago
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Is answer c the correct answer?​
sp2606 [1]
Yeah that’s the correct answer
3 0
3 years ago
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I forgot to put this in the question... sorry!
Oduvanchick [21]

Answer:

6x4=24 as a fraction it could be 24/1 48/2 72/3 etc.

Step-by-step explanation:

4 0
2 years ago
Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic
Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = 137*67013

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = 25 * 71332

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = 9180781+1783300

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = 137 + 25 = 162

So, the average salary of employee across the company = \frac{10964081}{162}

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0
3 years ago
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