Answer:
x = 1
y = 10
Step-by-step explanation:
5x + y = 15
Step 1: Move 5x on the other side by subtracting it from both sides
y = 15 - 5x
2x + y = 12
Step 2: Move 2x on the other side by subtracting it from both sides
y = 12 - 2x
Since y = y, that means 15 - 5x = 12 - 2x
Step 3: Add 5x to both sides
15 = 12 + 3x
Step 4: Subtract 12 from both sides
3 = 3x
Step 5: Divide both sides by 3
x = 1
y = 12 - 2x
Step 6: Plug in 1 for x
y = 12 - 2(1)
Step 7: Multiply 2 by 1
y = 12 - 2
Step 8: Subtract 2 from 12
y = 10
Answer:
1/54
Step-by-step explanation:
I believe you would take the chance of just getting the brother(1/6) and times that by the chance of getting the sister(1/9) which would be 1/54.
Answer:
The first thing we must do for this case is to define variables:
d = number of days
We then have the following inequality that represents the problem:
9d + 10 <= 146
Answer:
An inequality that represents the number of days, on which Natalie can take classes is:
9d + 10 <= 146
Step-by-step explanation:
Answer:
After 7 months
Step-by-step explanation:
<u>DATA:</u>
<em>⇒ Sign-up fee = $25</em>
<em>⇒ Monthly fee = $25</em>
<em>⇒ Number of months = y</em>
<em>⇒ Gift card = $200</em>
<u><em>Form an equation to calculate when the total spent on gym would exceed the amount of the gift card</em></u>
Sign-up fee + (monthly fee x number of months) = Gift card amount
25 + 25y = 200
25y = 200-25
25y = 175
y = 7
Therefore, the total spent on your gym membership exceeds the amount of your gift card after 7 months.
Answer:
y = 3x -2
Step-by-step explanation:
General equation of a line in the slope intercept form is
y = mx + b ,
where m is the slope and b is the y-intercept ( where intercepts the y-axis)
y = 3x + b ,
because is given slope is m = 3
For point (x = -2, y = -8) we have
-8 = 3 (-2) + b
-8 = -6 + b
-8 + 6 = b
-2 = b
The equation of the line that passes through the point (-2,-8) and has a slope of 3 is
y = 3x -2
