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kakasveta [241]
4 years ago
7

Calculate the GCF of 36xy and 12xy

Mathematics
1 answer:
Gelneren [198K]4 years ago
7 0

36xy = (12xy)(3)

12xy = (12xy)(1)

GCF(36xy, 12xy) = 12xy

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Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0
3 years ago
Find the value of 9x + 4y when x = 4 and y=-5
omeli [17]

Answer:

16

Step-by-step explanation:

substitute the values into the equation

9(4)+4(-5)

solve...

36-20=16

4 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!
Snowcat [4.5K]

Answer:

16.75

Step-by-step explanation:

add all the numbers up then divide by how many numbers there is

6 0
3 years ago
Find a ratio equivalent to 12/21 with lower terms
dmitriy555 [2]

Find factors of 12 and 21

Divide 3 from both numerator and denominator.

(12/21)/(3/3) = 4/7

4/7 is your ratio equivalent to 12/21

hope this helps

3 0
3 years ago
Read 2 more answers
Sam is filling up his pool. The water hose filled the 423 gallon pool in 47 minutes. At what rate did the hose fill the pool in
sesenic [268]

Answer:

9 gallons/minute

Step-by-step explanation:

Since you are trying to find gallons/min, there are two ways you can go about this. Either find a common factor between the 2 number, or you can simply to divide 423 by 47. Thankfully in this situation, you can find the answer easily either way because 47 is a factor of 423.

Factor out 47:

423 gallons/47 minutes

47*9 gallons/47*1 minutes

Simplify:

9 gallons/minute

7 0
3 years ago
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