Mrs. Lyman bought 54 pencils at the store. She brought them to school and

1 answer:

3 0

Hedge do ahead if for no other way ↕️ to the right of the right to use the same time as well as other than a year ago, and it has been the most important thing in the world and I think the most important things in a few years back to a new report by an independent of this invention to provide an

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A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s

vodomira [7]

Answer: 16

Solution:

1) Use letters to identify the variables:

Number of trumpets: t
Number of clarinets: c

2) Translate each statement into algebraic (mathematical) language.

2.1) Sold a total of 27 used trumpets and clarinets

=> t + c = 27

2.2) Trumpets cost $149 and clarinets cost $99

Total cost of the trumpets: 149t
Total cost of clarinets: 99c

Total cost = 149t + 99c

2.3) Total sales were $3223

=> 149t + 99c = 3223.

3) State the system of equations:

Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

4.1) Multiply equation 1 by 149:

=> 149t + 149c = 4023

4.2) Subtract the equation (2) from the equation obtained in 4.1

=> 149c - 99c = 4023 - 3223

=> 50c = 800

=> c = 800 / 50 = 16

5) Verify the solution:

From equation (1) t = 27 - 16 = 11

Total cost = 149*11 + 99*16 = 3223

Now you have a verified answer: they sold 16 clarinets

7 0

4 years ago

Zoe is solving the equation 3x – 4 = –10 for x. She used the addition property of equality to isolate the variable term as shown

kherson [118]

3x-4 = -10

3x-4 +4 = -10 +4

3x = -6

then you can divide it :

x = -6 : 3

x= -2

3 0

3 years ago

A researcher selects all of the possible samples with n = 8 scores from a population and computes the mean, dividing by n, for e

Nadusha1986 [10]

Answer:

By the Central Limit Theorem, the average value for all of the sample means is 14.

Step-by-step explanation:

We use the central limit theorem to solve this question.

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means of size n can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$