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AleksAgata [21]
3 years ago
11

Elton is a candle maker. Each 15 cm long candle he makes burns evenly for 6 hours. If Elton makes a 45cm candle how long would i

t burn?
Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

18 hours

Step-by-step explanation:

You know that 15cm burns in 6 hours. That means that for every 15cm that burns after that, it will be another 6 hours for each.

This gives us the means to find out how long it takes for the 45 cm candle to burn.

We want to know how many 15 cm candles fit into this 45 cm candle. To do this, we must divide: 45 ÷ 15 in order to find how how many 15 cm and 6 hour-burning candles make up the 45 cm candle

45 ÷ 15 = 3, so 3 candles, each of which take 6 hours to burn, fit into the candle

Now, all we have to do is multiply 6 by 3 in order to find out how many hours it takes for 3 candles to burn!

6 • 3 = 18, so it will take 18 hours for the candle to burn

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2y^2-10y^2+9y-45 <br> Factor polynomial completely
hammer [34]

Answer:

-8y^2+9y-45

Step-by-step explanation:

symbolab.com

4 0
3 years ago
A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h
Marat540 [252]

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P  = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value  i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0
3 years ago
Read 2 more answers
What’s (3b-5c)(2x+5y) squared
lukranit [14]
Answer: In your problem, you said that they are squared. However, it is not written as squared. We just have to multiply them.

We can use the FOIL method.

(3b - 5c)(3x + 5y)

6bx + 15by - 10cx - 25cy

There are no like terms, so that expression is our final answer.
8 0
3 years ago
??? Anyone know how to answer this question
True [87]
Answer: 35 additional teachers are needed

-------------------------------------------------
-------------------------------------------------

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

-------------

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130

So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
5 0
3 years ago
I need help PLEASE!!!
Hitman42 [59]

Answer:

1. ∠A and ∠B are right angles.                      Given

2. m∠A = m∠ B                                               All right angles are congruent.

3. ∠BEC≅ ∠AED                                              Vertical angles are congruent

4. ΔCBE ~ ΔDAE                                               AA

Step-by-step explanation:

A proof always begins with the givens.

1. ∠A and ∠B are right angles. -------------->Given

2. m∠A = m∠ B  are equal since----------->  All right angles are congruent.

3. ∠BEC≅ ∠AED  are also equal since---->Vertical angles are congruent

4. ΔCBE ~ ΔDAE since two angles are equal----------> AA

7 0
3 years ago
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