A collection of 8 backpacks has a mean weight of 14 pounds. A different collection of 12 backpacks has a mean weight of 9 pounds. What is the mean weight of the 20 backpacks? Explain how you found your answer.

Answers

Answer 1

Answer: Total weight of the first 8 backpacks
8*14
112 pounds

Total weight of the second 12 backpacks
12*9
108

Total weight of the whole 20 backpacks
112+108
220

So the mean weight of the 20 backpacks
220 / 20
11

Answer 2

Answer:

Answer: 11

Step-by-step explanation:

We know that mean of a number of observations is given by :-

$\text{Mean}=\frac{\text{Sum of all observations}}{\text{Number of observations}}\n\n\Rightarrow\ \text{Sum of all observations}=\text{Mean*Number of observations}$

Given: The mean weight of 8 backpacks = 14 pounds

$\Rightarrow\ \text{Sum of weight of 8 backpacks}=14*8=112$

The mean weight of different 12 backpacks =9 pounds

$\Rightarrow\ \text{Sum of weight of 12 backpacks}=12*9=108$

Now, Total sum of all observations = 112+108=220 pounds

Now, the mean weight of the 20 backpacks is given by :-

$\text{Mean}=(220)/(20)=11$

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Answers

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = $\sqrt{(KP)^(2)+(KQ)^(2)-2(KP)(KQ)cos(K)}$

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = $\sqrt{(12)^(2)+(12)^(2)-2(12)(12)cos(110)}$

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

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A blimp travel 300 miles in 7.5 hours. Assume the blimp travel at a constant speed. Write and solve an equation to find the speed of the blimp. Use the formula d= rt.

Answers

Well um, I don't know what the d = rt formula is but I know one that would work well with this problem.

Formula for speed = Distance / time

So we have 300 miles as our distance and 7.5 hours as our time.

Then we divide ---> 300/7.5

And that gives us...

40 mph

My dividend is 8 times as large as my divisor I'm an even number less than 15 what quotient am I

Answers

the quotient is the number 13!!!!!!!!!!!!!

i had a problem like this the other day. the answer is 13.

Find all the powers of 3 that are in the range 3 through 1,000

Answers

3 to the power 1 = 3
3 to the power 2 = 9
3 to the power 3 = 27
3 to the power 4 = 81
3 to the power 5 = 243
3 to the power 6 = 729

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Jon earned $38,000 last year. He paid $6,840 for entertainment. What percent of his earnings did Jon pay in entertainment expenses? Please tell how you got it.

Answers

If you would like to know what percent of earnings did Jon pay in entertainment expenses, you can calculate this using the following steps:

x% of $38000 is $6840
x% * 38000 = 6840
x/100 * 38000 = 6840
x * 380 = 6840 /380
x = 6840 / 380
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The correct result would be 18%.

18% of his earnings went towards entertainment expenses. I used the "is over of equals percent over 100" formula. I then cross multiply then divide. My work is shown.

The ratio of white to green marbles in a bag is 5/12. How many green are there if there are 51 total marbles? Please explain how to do ratios and porprotions. (:

Answers

So for every 5 white marbles there are 12 green ones.
The easiest way to do this is to increase the ratio.

so: 5white/12green=17total
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