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mojhsa [17]
3 years ago
9

Marco is making mosaic garden stones using red, yellow and blue tiles. He has 45 red tiles, 90 blue tiles and 75 yellow tiles. E

ach stone must have the same number of each color tile. What is the greatest number of stones Marco can make? How many of each color tile will Marco use in each stone? How can Marco use the GCF to find out how many tiles he has in all?
Mathematics
2 answers:
dsp733 years ago
8 0
Find the GCF of 45, 90, 75: which is 15

So he can make 15 stones total.

Divide each of the color numbers by 15 to get the number of tiles he uses in each stone
klemol [59]3 years ago
4 0
The Greatest Common Factor: ( 45, 90 , 75 ) = 15
The greatest number of stones Marco can make is 15.
45 : 15 = 3
90 : 15 = 6
75 : 15 = 5
He will use:  3 red, 6 blue and 5 yellow tiles in each stone.
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Multiply using FOIL or Table method (x + 4) (x + 5)
mylen [45]

Answer:

{x}^{2}  + 9x + 20

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

{x}^{2}  + 5x + 4x + 20

2) Collect like terms.

{x}^{2}  + (5x + 4x) + 20

3) Simplify.

{x}^{2}  + 9x + 20

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5 0
3 years ago
Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers a
Pani-rosa [81]

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio )  her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , 1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2} .

Also , simplifying her rate , 6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4} .

Now , ratio of his work by challenge is :

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8 0
3 years ago
Read 2 more answers
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vovikov84 [41]

Answer: 96 adult tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

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x + y = 381

Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that

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Substituting x = 381 - y into equation 1, it becomes

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- 4y = - 1140

y = - 1140/- 4

y = 285

x = 381 - y = 381 - 285

x = 96

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MrMuchimi

Answer:

Step-by-step explanation:

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