Answer:
Bigger number = 42
Smaller number = 10
Step-by-step explanation:
Step 1: Define variables
<em>x</em> = larger number
<em>y</em> = smaller number
Step 2: Write systems of equations
x + 2y = 62
3x = y + 116
Step 3: Rewrite 1st equation
x = 62 - 2y
Step 4: Substitution
3(62 - 2y) = y + 116
186 - 6y = y + 116
186 = 7y + 116
70 = 7y
y = 10
Step 5: Plug in <em>y</em> to find <em>x</em>
x + 2(10) = 62
x + 20 = 62
x = 42
Answer:
NO!
Step-by-step explanation:
They are not equivalent. We can check this. If you rewrite them as fractions 13/14 and 1/2, you can cross multiply and see if they are equal. Which they are not. Also, you could just guess.... think of 13:14 as 13 out of 14. And 1:2 as 1 out of 2. You can tell that 13/14 is much greater than 1/2.
Answer:
9
Step-by-step explanation:
answer
step by step explanation
Answer:
$575 per month
Step-by-step explanation:
$500 x 15% = $75
(15% of 500 = $75)
therefore
500 + 75 = $575 a non smoker must pay for insurance
Answer:
Bumby Avenue is represented by the line:
y = -4*x - 7.
Primrose Avenue can be represented with:
8x + 2y = 17.
We may want to find the point where both avenues intersect.
Let's isolate y in this second equation:
2y = 17 - 8x
y = 17/2 - 8x/2 = -4*x + 17/2
Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.
Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.
