Answer:
Step-by-step explanation:
For 3. Amanda has the closest amount of yellow because 3/4 is the closest number to being whole. If I had 3/4 (Amanda) vs 3/5 (Dena) Amanda would win because she has the closest number to 4 while Dena is close but she’s 2 away from getting a whole and Amanda has 1.
4. 3/5 is the amount that’s yellow. So subtract 3-5 and that would leave you with 2/5 as your answer.
5. No, because technically they’re equivalent/equal to each other. 3-5 = 2 and 6-8 = 2 so they both have the same amount of yellow.
Answer:
96 points
Step-by-step explanation:
Ratio problems can be solved like this:
Let x equal an unknown value.
Now, we can write an equation.
7x + 10x +12x = 232
We want to find 12x, so we have to find x first. We can simplify our equation to:
29x = 232
Now, divide both sides by 29.
x=8
We then solve for 12x by multiplying 8 and 12, and get 96 points.
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SYSTEM #1
-4x+2y=22
-y=-3x-9
We can multiply both sides of the second equation by -1 to see what y equals.
y=3x+9
We can substitute this value for y into the first equation and solve for x.
-4x+2(3x+9)=22
We use distributive property to undo the parentheses.
-4x+6x+18=22
We combine like terms.
2x+18=22
Subtract 18 from both sides.
2x=4
Divide both sides by 2.
x=2
Our x has to be -4 to be the correct answer, so this option is incorrect.
SYSTEM #2
-4x+2y=22
y=-3x-9
We plug this y value into the first equation to solve for x.
-4x+2(-3x-9)=22
We use distributive property to undo the parentheses.
-4x-6x-18=22
We combine like terms.
-10x-18=22
Add 18 to both sides.
-10x=40
x=-4
We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.
y=-3(-4)-9
y=12-9
y=3
So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9
Have a wonderful day! :D
Answer:
3
Step-by-step explanation:
d = 2 and c = 3
12d - 7c
12(2)-7(3)
24 - 21
3
Answer:
33/4 or 8 1/4
Step-by-step explanation:
-1/2=-2/3x + 5
-5 -5
---------------------
-11/2= -2/3x
____ _____
-2/3 -2/3
---------------------
33/4 = x
Check:
-1/2 = -2/3(33/4) + 5
-1/2 = -11/2 + 5
-1/2 = -1/2