Answer:
12 - 4
3 - 1
18 - 6
Step-by-step explanation:
This is simply a matter of pluggin in the method, so let's do it shall we?
It wants you to put the a third of each number, so you'll divide each number by three to get what the third is!
VISUAL REPRESENTATION:
12÷3 = 4
3÷3 = 1
18÷3 = 6
The y - coordinate of D after a translation is 1
Explanation:
The point D after a translation is given by 
The y - coordinate of the point D is 5.
Now, we shall determine the value of the y - coordinate of D after the translation
Let us consider the y - coordinate of D' and D
Thus, we have,
Subtracting both sides by 4, we get,
Thus, the y - coordinate of D after a translation is 1
Answer:
g= 6
j = 2
r= 4
Step-by-step explanation:
Gummy bears = $1.50 per pound
Jelly beans = $1.00 per pound
Runt = $1.00 per pound
Total cost of the mixture = $15.00
Let
g = quantity of gummy bears
j = quantity of jelly beans
r = quantity of runts
g + j + r=12 (1)
1.5g + 1.0j + 1.0r = 15 (2)
three times as many gummy bears as jelly beans.
g=3j
Substitute g=3j into 1
g + j + r = 12
3j + j + r =12
4j + r =12 (3)
Substitute g=3j into 2
1.5g + 1.0j + 1.0r = 15
1.5(3j) + 1.0j + 1.0r =15
4.5j + 1.0j + 1.0r = 15
5.5j + 1.0r =15 (4)
4j + r =12 (3)
5.5j + 1.0r =15 (4)
Subtract (3) from (4)
5.5j - 4j = 15-12
1.5j = 3
Divide both sides by 1.5
j = 3/1.5
= 2
j = 2
Substitute j = 2 into (3)
4j + r =12
4(2) + r =12
8 + r = 12
r= 12-8
r= 4
Substitute j=2 and r= 4 into (1)
g + j + r=12
g + 2 + 4 = 12
g + 6 = 12
g = 12-6
=6
g=6
g= 6
j = 2
r= 4
The sum of angles in the triangle = 180
