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WINSTONCH [101]
3 years ago
5

HELP PLEASE!!! SHOW WORK!! A professional pianist spends an average of 45 hours practicing the piano in a three-week period. Usi

ng this ratio how many hours does he practice in three months? Hint: Change three months to the equivalent number of weeks using the fact that there are about four weeks in each month.set up a proportion, defining a variable for the unknown quantity, solve the proportion, showing all work leading to your answer, and write a sentence to explain the meaning of the answer for the situation.
Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

An average of about 450 hours; You could say something along the lines of "If the pianist who practices an average of 45 hours per week practices everyday for three months, they would play for approximately 450 hours total."

Step-by-step explanation:

We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:

45 * 3 * 4 = n

We know 3 *4 is 12, so the equation becomes 45 * 12 = n.

45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.

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What is the solution of the following system of equation: 2X+Y=17 AND Y=X+14 ?
Inessa [10]

Answer:

I do't know how to solve this.

Step-by-step explanation:

6 0
3 years ago
A survey was given asking whether people like dogs and/or cats. 153 said they like dogs 191 said they like cats 56 said they lik
lapo4ka [179]

Answer:

There were 362 people surveyed

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A survey was given asking whether people like dogs and/or cats

# 153 said they like dogs

# 191 said they like cats

# 56 said they liked both cats and dogs

# 74 said they don't like cats or dogs

- We need to find how many people were surveyed

* <em>Lets find the number of who likes dogs only and the number who</em>

<em>  likes cats only </em>

- The number who likes dog only (cats only) is the difference between

 the number who likes dogs (cats) and the number who likes both

∴ The number who likes dogs only = 153 - 56 = 97

∴ The number who likes cats only = 191 - 56 = 135

- The total number of people were surveyed is the sum of the number

  who likes cats only and who likes dogs only and who likes both and

  who doesn't like both

∵ The number who doesn't like dogs or cats is 74

∴ The total number = 97 + 135 + 56 + 74 = 362

* There were 362 people surveyed

7 0
3 years ago
Given the following formula for V=4r. How would you solve for "r"?
Artyom0805 [142]
R = v/4
because:
v = 4r
v/4 = 4r/4 the fours cancel out and you are left with r
therefore v/4 = r or r = v/4
7 0
3 years ago
-5/12-(-9/3) Reduce to simplest form
Lelechka [254]

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

3 0
3 years ago
Please help :( im struggling
Paha777 [63]

Answer:

a= 9/4

Step-by-step explanation:

2m^(5/2)/m^(1/4)

2m^(5/2 -1/4)

2m^(9/4)

Hope you find this helpful <3

8 0
3 years ago
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