Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
=
Answer:
a = $13.5
Step-by-step explanation:
Let a = adult tickets
Let c = children tickets
Translating the word problem into an algebraic equation;
<u>For the Martinez family;</u>
2a + 3c = $60
<u>For the Wright family;</u>
3a + 5c = $95.5
Thus, the simultaneous equations are;
..........equation 1
.........equation 2
We would use substitution method to solve;
From equation 2, we make a the subject of formula;
3a = 95.5 - 5c
a = (95.5 - 5c)/3
<em>Substituting the value of "a" into equation 1, we have;</em>
2[(95.5-5c)/3] + 3c = 60
Multiplying all through by 3;
2(95.5 - 5c) + 9c = 180
191 - 10c + 9c = 180
191 - c = 180
c = 191-180
c = $11
To find the value of a;
2a +3c = 60
<em>Substituting the value of "c" into the equation, we have;</em>
a = $13.5
<em>Therefore, the cost of an adult movie ticket is $13.5. </em>
Since the opposite operation of addition is subtraction you subtract. So you add 14 both sides and now z is by itself. finally just add 2 and 14 which is 16
First answer: 12
Second answer: 6
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How to get these answers
She uses 1/3 of a cup for 1 cake, so we have this ratio
1/3 cup : 1 cake
Multiply both sides by 3 and we end up with
1 cup : 3 cakes
Then multiply both sides by 4 to change "1 cup" to "4 cups" and we have
4 cups : 12 cakes which is the answer to the first part
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For part 2, we'll follow the same steps as before, but instead of multiplying both sides by 4, we do 2 instead because we're dealing with 2 cups of oil.
1/3 cup : 1 cake
3*(1/3 cup) : 3*(1 cake)
1 cup : 3 cakes
2*(1 cup) : 2*(3 cakes)
2 cups : 6 cakes which is the answer to the second part
Step-by-step explanation:
6z + 8 = 200
subtract 8 from each sides
6z + 8 - 8 = 200 - 8
simplify --> 6z = 192
6z/6 = 192/6
z = 32