Answer:
$15 < $4n + $5
Step-by-step explanation:
We know that Billy needs to make more than $15 between his allowance and the lawns that he mows. This means our inequality should include $15<. Also, since Billy will make $4 per lawn, that means we need to multiply $4 by the number of lawns he needs to mow, n: $4n. So far we have the following: $15<$4n. Next, we know that he makes $5 each week, on top of what he makes mowing each law. This means we need to add the $5 to the $4n. When we put all of these pieces together, we will get the following inequality: $15<$4n+$5
Answer:
a = 
b= 4
Step-by-step explanation:
It's a 30-60-90 triangle based on the given picture. A right triangle too
Use sine, cosine, and tangent to solve for the side.
To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.
OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and 
for long leg
So either way, b = 4
To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.
OR you can use the same rule, 30-60-90 triangle to save time
a will end up =
Answer:
6+18x
Step-by-step explanation:
You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x
Answer:
63.
Step-by-step explanation:
49 plus 37 is 86. subtract that by 23 and you get 63.
Answer: The polynomial
= y² - 5y - 4.
Step-by-step explanation:
Let the polynomial = f(y)
Therefore
y² -5y + 1 - f(y) = 5
f(y) = y² - 5y + 1 - 5
f(y) = y² - 5y - 4
The polynomial = y² - 5y - 4.
Check:
y² - 5y + 1 - ( y² - 5y - 4)
Open the bracket with the minus
y² - 5y + 1 - y² + 5y + 4
y² - y² - 5y + 5y + 1 + 4
= 0 - 0 + 5
= 5.
