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Fed [463]
3 years ago
6

Martin has 60 magazines and 42 books to put into stacks. Each stack will have 7 magazines and 4 books. How many complete stacks

of 7 magazines and 4 books can Ms. Martin make?
Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

8 complete stacks

Step-by-step explanation:

Total magazine = 60

Total books = 42

Each stack will have 7 magazines and 4 books.

Each stack = 7 magazines + 4 books

How many complete stacks of 7 magazines and 4 books can Ms. Martin make?

Number of stack of 7 magazines possible = total magazines / magazines per stack

= 60/7

= 8 4/7

Complete stacks with 7 magazines = 8

Number of stack of 4 books possible = total books / books per stack

= 42/4

= 10 1/2

Complete stacks with 4 books = 10

If 7 magazines on each stacks can make 8 complete stacks

Then, 4 books on each stack can make 8 complete stacks

Note: after 8 stacks using 7 magazines each, magazines will not be available to complete other stacks

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The numbers 1-11 are placed in a bag. What is the probability of drawing a even number? PLEASE HELP ASAP
Lady_Fox [76]

Answer:

5/11

Step-by-step explanation:

Between numbers 1 - 11, the evens are 2, 4, 6, 8, and 10. Therefore, there are 5 evens.

Out of the eleven choices in the bag, there are 5 possible choices to be picked out of the 11 total choices.

Therefore, the probability of drawing an even number over the number of choices is 5/11.

6 0
3 years ago
When the reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the
yawa3891 [41]

Answer:  No solution

<u>Step-by-step explanation:</u>

1st number: x

2nd number: x + 2

  • reciprocal of the larger is \frac{1}{x+2}
  • 4 times the reciprocal of the smaller is 4(\frac{1}{x})
  • reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller is 4(\frac{1}{x}) - \frac{1}{x+2}
  • the result is 56: 4(\frac{1}{x}) - \frac{1}{x+2} = 56

Solve the equation:

4(\frac{1}{x}) - \frac{1}{x+2} = 56

\frac{4(x(x + 2))}{x} - \frac{1(x(x + 2))}{x+2} = 56(x(x + 2))

4x + 8 - x = 56x² + 112x

     3x + 8 = 56x² + 112x

             0 = 56x² + 109x - 8

Use the quadratic formula to solve:

x = \frac{-109+/-11\sqrt{113}}{112}

The result is NOT AN INTEGER so there is NO SOLUTION

8 0
3 years ago
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
creativ13 [48]

Answer:

2 ducks 8 pigs

Step-by-step explanation:

4 + 32 = 36

6 0
3 years ago
Read 2 more answers
What are the common factors of 60 36 and 24?
Ivan
1, 2, 3, 4, 6, 12 :)
3 0
4 years ago
Great masters please help poor child (Algebra 2A)<br> *my handwriting cuz I lost worksheet* .-.
Kitty [74]
Gg easy

remember
for
ax^2+bx+c=0
first
minus c from both sides
ax^2+bx=-c
divide both sides by a (disregard if a=1)
take 1/2 of b and square it and add that to both sides
factor perfect square

ok so

x^2-3x=-1
-3/2=-1.5
 (-1.5)^2=2.25
add that to both sides
x^2-3x+2.25=2.25-1
factor
(x-1.5)^2=1.25
7 0
4 years ago
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