Answer:
x=6 y=-9
Step-by-step explanation:
- Layer the equations on each other as you would in a subtraction problem:
8x + 2y=30
7x + 2y=24
- Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
- Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:
42+2y=24 then
2y=-18 then
y=-9
- Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.
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The correct answer is the second choice
Answer:
The Answer Will be For The Second Week Will Be 2weeks/14days , 3weeks/21days , 4weeks/28days , 5weeks/35days , 6weeks/42days
Step-by-step explanation:
You can either do 7 x 6 = 42
7 days in a week
6 weeks from days
or you can do 7 +7+7+7+7+7
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
