3x+4y=2 4x-4y=12 by using elimination

Answers

Answer 1

Answer: (+3x+4y=2)
(+4x-4y=12)
-----------------
7x = 14
-----------------
7
X=2

3(2)+4y=2
6+4y=2
4y=-4
Y=-1.
Or you can plug x into the other equation.

4(2)-4y=12
8-4y=12
-4y=4
Y=-1.

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You use 8 cups of flour to make 24 muffins. At that rate how much flour will it take to make 30 muffins?(Me and my friend have 2 different answers)

Answers

For 24 muffins, you needed = 8 cups
So, for 1 muffin, it is = 8/24 = 1/3 cup

Now, for 30 muffins, it would be: 1/3 * 30 = 10

In short, Your Answer would be 10 cups

Hope this helps!

You have 8 cups of flour to 24 muffins, which can be shown as 8:24, or 8/24. You need to find x cups of flour to 30 muffins, which can be shown as x:30, or x/30. You will want to cross multiply.

8 x
-- * --
24 30

8 * 30 = 24 * x
240 = 24x
10 = x

You need 10 cups of flour.

The perimeter of a rectangle is 96 ft. The ratio of the length to the width is 7:5. what are the dimensions of therectangle?

Answers

Perimeter = 2(l + w) = 2(7x + 5x) = 2(12x) = 24x = 96
x = 96/24 = 4.
Therefore, length = 7 x 4 = 28 ft and width = 5 x 4 = 20ft

What is 2 and 928 ten-thousandths as a decimal?

Answers

I think this is the correct answer
2+ 928 = 2 + 0.0928 = 2.0928
---------
10000
I hope i helped you :-)

The dance committee has a budget of $125 to decorate the gym for a spring dance.They already spent $65. some members want to buy helium balloons that cost $0.80 each. write and solve an inequality to show the number of balloons that the dance committee could buy.Graph the solution set for the inequality.describe what the solution means and how the number of balloons affects the amount in the budget.

Answers

if they want to spend all of their money they could buy 48 balloons. what I did was 125-65=60. then 60X0.80=48. So the more balloons they get the less money they have and they can buy a lot but then they wouldn't have any money left to buy something else

What is the greatest common factor of 65 and 91

Answers

So,

First, we find the prime factored form (P.F.F.) of 65 and 91.

P.F.F. of 65: 5 * 13

P.F.F. of 91: 7 * 13

Find the common numbers
13

13 = G.C.F.

Note: This method works for finding any G.C.F. (find common primes)

The greatest common factor (GCF) of 65 and 91 is 13 by using prime factorization method:

To find the GCF of two numbers, to determine the largest number that divides both of them evenly.

To find the GCF of 65 and 91, use the prime factorization method:

Step 1: Prime factorize both numbers:

65 = 5 × 13

91 = 7 × 13

Step 2: Identify the common prime factors:

Both 65 and 91 share the prime factor 13.

Step 3: Determine the highest common prime factor:

The highest common prime factor of 65 and 91 is 13.

Therefore, the GCF of 65 and 91 is 13.

Learn more about greatest common factor here:

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What is the percent of change?Initial value: 10
Final value: 60

(A) 70% (B) 500% (C) 50% (D) 600%

Answers

percent means parts out of 100
x%=x/100

find change
10 to 60=50 (60-10=50)

percent change=change/originla
original=10
change=50
50/10=x%
5/1=x/100
multiply both sides by 100
500=x

answer is 500%

B. because 100% of 10 is 10, u have 60 which is 6 times that, so 100%*6 which = 600%
but it's the change, not just that, and the change is 50, so 500%

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