last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnelly practiced the piano for 11 hours. For how many hours did each young man practice the piano?

Answers

Answer 1

Answer:

Donnell practiced for 7 hours while Marcus practices the piano for 4 hours.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours piano played by Donnell is D while by Marcus is M.

Then,

Since Donnell practiced the piano 3 hours longer than Marcus.

D = 3 + M ⇒ D - M = 3

And,

Together, Marcus and Donnelly practiced the piano for 11 hours.

D + M = 11

By adding

2D = 14

D = 7

And,

M = 11 - 7 = 4

Hence "Donnell practiced for 7 hours while Marcus practices the piano for 4 hours".

For more about the equation,

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Answer 2

Answer: Let the number of hours Donnell practiced be d
and the number of hours Marcus practiced be m.
We can set up a system of equations.
d = m + 3
m + d = 11
Substitute the value of d that's in the first equation, into the second equation.
m + (m + 3) = 11
2m + 3 = 11
2m = 8
m = 4
Marcus practiced for 4 hours. Since Marcus and Donnell, together, practiced 11 hours, Donnell practiced for 11-4=7 hours.

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3.9-21 helpp please kikiki

Answers

Answer:

3.9-21=-17.1

Step-by-step explanation:

3.9-21

3.9+-21

=-17.1

-17.1 . Just do 21-3.9 then put a negative in front of it

Evaluate 8P4 how can I evaluate this problem

Answers

Answer:

$^8P_4=1680$

Step-by-step explanation:

Given: $^8P_4$

Formula:

$^nP_r=(n!)/((n-r)!)$

It is permutation formula which helps to find number of arrangement.

If we have three digits and to find how many different three digit number be form. We can find using permutation.

Using formula,

$^nP_r=(n!)/((n-r)!)$

$^8P_4=(8!)/((8-4)!)$

$^8P_4=(8!)/(4!)$

$^8P_4=(8* 7* 6* 5* 4!)/(4!)$

Cancel 4! from top and bottom

$^8P_4=8* 7* 6* 5$

$^8P_4=1680$

Hence, The value of $^8P_4$ is 1680

The required, permutation 8P4 is equal to 1,680.

"P" stands for permutation, which represents the number of ways to arrange objects in a specific order. The formula for permutations is:

nPr = n! / (n - r)!

Using the formula, we have:

8P4 = 8! / (8 - 4)!

= 8! / 4!

= (8 x 7 x 6 x 5 x 4!) / 4!

= (8 x 7 x 6 x 5)

= 1,680

Therefore, 8P4 is equal to 1,680.

Learn more about permutation here:

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Find the value of x so that the ratios are equivalent 9:x and 54:8 i cant seem to get it i tried 48 but it said it was wrong

Answers

Answer:

The answer is 48

Step-by-step explanation:

Suzanna wants to measure a board, but she doesn't have a ruler to measure with. However, she does have several copies of a book that she knows is 17 centimeters tall. a. Suzanna lays the books end to end and finds that the board is the same length as 21 books. How many cenimeters long is the board?

Answers

Answer: Board is 357 cm long.

Step-by-step explanation:

Since we have given that

Suzanna wants to measure a board but she doesn't have a ruler to measure with,So she has several copies of a book that she knows is 17 cm tall where She lays the books end to end to find the length of board which is the same length as 21 books.

So,

Number of books = 21

Length of board of each book = 17 cm

According to question, we need to find the length of board for 21 books:

Length of board is given by

$21* 17\n\n=357\ cm$

Hence, Board is 357 cm long.

Answer=357centimeters

21*17=357cm

2. Tickets are on sale for a basketball game atthe Alamodome in San Antonio, Texas. Each
ticket sells for $74.50. Bus shuttle prices to the
event cost $15 per family. Which equation can
be used to determine t, the total cost to attend
the game if n tickets are purchased by the
Gonzalez family?
F. n = 74.50t + 15
G. t = 15n+74.50
H. t = 74.50m + 15
J. t = 74.50m + 15n

Answers

Answer:chao

Step-by-step explanation:

chao

Stacy made 3 dozen oatmeal cookies. She ate 1/6 of them. How many did she have left?

Answers

Given:
3 dozen oatmeal cookies
1/6 of them was eaten

How many was left?

1 dozen is equal to 12 pieces.
3 dozen * 12 = 36 pieces
36 * 1/6 = 36/6 = 6

Stacy ate 6 pieces of oatmeal cookies.
36 - 6 = 30 pieces left.

There are 30 pieces of oatmeal cookies left.

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