Answer:
Coefficients: 8
Constants: 2
Variables: m and n
Step-by-step explanation:
Sarah had made no errors-
A number on its own is called a Constant.
A coefficient is a number used to multiply a variable.
Answer:
a. 2401.06
b. 37.54%
c. 56.3%
Step-by-step explanation:
hopefully this is right
*note: I think you forgot to convert 4-2 back into yards.
a. Robbie's field of view to the North end includes parts not on the football field. so to find the area of the football field he can see, we need to find:
total area of what Robbie sees - area of non football field Robbie sees
what you shaded represents the total of what Robbie sees. it's a triangle. area of a triangle is 1/2(b)(h) where h is distance away and b is width of view.
total area = 1/2(170)(30.92) = 2628.56 yd
area of non football field (pipe to South end)
= 1/2(50)(9.1) = 227.5
so 2628.56 - 227.5 = 2401.06
b. area found in part a / total area of football field
2401.06 / (120*53.3) = .3754
.3754 * 100 = 37.54%
c. the chance of Robbie seeing the touchdown depends on how much of the (North) endzone he can see.
area of north endzone is
10 * 53.3 = 533.
area Robbie sees in endzone is
2628.56 - 2328.48 = 300.08
(found by total area Robbie sees - area of non endzone Robbie sees)
300.08 / 533 = 0.563
= 56.3%
Answer:
$1612.80
Step-by-step explanation:
<u>Sales Tax</u> would be 0.06 * 21,000 = $1260
<u>Property Tax:</u>
16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.
So the property tax would be 16.80 * 21 = $352.80
Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80
Answer:
x < 15
Step-by-step explanation:
Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".
On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:
-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24
On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:
-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30
Now put these back in:
-6(x + 4) + 9 > -5(x + 6)
-6x - 24 + 9 > -5x - 30
-6x - 15 > -5x - 30
x < 15
Thus the answer is x < 15.
Hope this helps!