Answer:
You will need 3 cups peanut butter to make 36 dogs treats.
Peanut butter Cup : The dog treats made = 1: 12
Step-by-step explanation:
12 dog treats = 1 cup
So, by UNITARY METHOD
1 dog treat = (1/12) cup
So, 36 dog treats = 36 x (1/12) cup = 3 cups
So, you will need 3 cups peanut butter to make 36 dogs treats.
If 1 cup = 12 Dog Treats
then 1 x 3 cup = 12 x 3 dog treats
or, 3 Cups = 36 dog treats
The ratio of the Peanut butter cup : The dog treats made = 1: 12
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The correct answer is (( D )) .
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Answer:
57 adult tickets, 86 student tickets
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Answer:
x ≥ -5
Step-by-step explanation:
15≥-3x
<em>switch sides</em>
<em>-3x≤15</em>
<em>Multiply both sides by -1 (reverse the inequality)</em>
<em>(-3x)(-1)≥15(-1)</em>
<em>Simplify</em>
<em>3x≥-15</em>
<em>Divide both sides by 3</em>
<em>3x/3≥ -15/3</em>
<em>Simplify</em>
<em>x≥ -5</em>
