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olga nikolaevna [1]
2 years ago
14

David received his allowance on Sunday. He spends 1/4 of his allowance on Monday and 2/3 of the remainder on Tuesday. What part

of his allowance is left for the rest of the week?
Mathematics
1 answer:
Marianna [84]2 years ago
3 0

Answer:1/12 left

Step-by-step explanation: you should switch both into the same denominator for the fractions so that would turn into 3/12 and 8/12 then add them up to get 11/12 so he has 1/12 left

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scholastic books sells 4 times as many textbooks as keller publishing; together they sold 7,775 textbooks. how many did scholast
sashaice [31]
Let us assume the number of text books sold by <span>keller publishing = x
Then
Then </span>number of text books sold by <span>Scholastic books = 4x
The total number of text books sold = 7775
Then
x + 4x = 7775
5x = 7775
x = 1555
Then
The nu</span>mber of text books sold by Scholastic books = 4x
                                                                                  = 4 * 1555
                                                                                  = 6220

I hope the procedure is clear enough for you to understand.
4 0
2 years ago
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
2 years ago
Maridel wants to find out how many of her classmates plan to come to the next football game. There are 800 students in her schoo
suter [353]

Answer:

Maridel wants to find out how many of her classmates plan to come to the next football game. There are 800 students in her school. She selects a sample of the population by putting the names of every student into a bag and drawing out 100 names.

Which statement(s) describe her sampling method? Check all that apply.

A) Her method will produce a biased sample.

<u>B) Her method will produce a valid sample.</u>

<u>C) Her method will produce a random sample.</u>

<u>D) Her method will produce a representative sample.</u>

E) Her method will produce an invalid sample.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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Jet001 [13]
One number is 15 and the other is 16. You get this answer by first finding a factor of 3(15) that when it's subtracted from 31 gives you a factor of 8(16). Then you divide in this case 15 by 3 and get 5 and 16 by 8 and get 2. The reason you divided the numbers is because now you have 5 which is 1/3 of 15 and 2 which is 1/8 of 16. Now that you have your numbers that equal your fractions multiply 5 which is your 1/3 by the 2 from your 2/3 to get 10 which is 2/3 of 15 and 2 which is 1/8 by the 5 from you 5/8 to get 10 which is 5/8 of 16
6 0
2 years ago
Given: PKHE - inscribed, m∠E=120°,
Montano1993 [528]

Answer:

C is the answer they are equal.

Step-by-step explanation:

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2 years ago
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