Answer:
More than 6.8 yards per game.
Step-by-step explanation:
Let x be the possible number of yards per play for the winning team.
We have been given that the winning team had 80 offensive plays, so the number of possible yards in 80 offensive plays will be 80x.
We have been given that a winning football team more than doubled the offensive yards gained by its opponent.
We can represents this information in an inequality as:
Therefore, the inequality can be used to find the possible number of x of yards per play for the winning team.
Let us solve for x.
Let us divide both sides of our inequality by 80.
Therefore, the winning team will score more than 6.8 yards per play.
so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)
(7-(-2))/(0-8)
simplify
9/-8
simplify -9/8
now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.
y=mx+b
-2=(-9/8)(8)+b
multiply (-9/8) by 8 to get -9
-2=-9+b
add 9 to both sides
7=b
so our equation is now
y=-(9/8)x+7
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
- Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.
The total amount of her purchase before tax was added is; $52.46
<h3>How to calculate discounted amount?</h3>
We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.
Now, let the amount of her purchase be x. Thus;
8.75% * x = $4.59
x = 4.59 * 100/8.75
x ≈ $52.46
Read more about Discounted amount at; brainly.com/question/7459025
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Answer: x = 24
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<u>Step 1:</u><u> </u><u><em>Remove parentheses.</em></u>
12 (2 − 2) + 32 = + 6 + 2
<u>Step 2:</u><u> </u><u><em>Simplify 2 − 2 to 0.</em></u>
12 × 0 + 32 = + 6 + 2
<u>Step 3:</u><u> </u><u><em>Simplify 12 × 0 to 0.</em></u>
0 + 32 = + 6 + 2
<u>Step 4:</u><u> </u><u><em>Simplify 0 + 32 to 32.</em></u><em> </em>
32 = + 6 + 2
<u>Step 5:</u><u> </u><u><em> + 6 + 2 to </em></u><u><em> + 8.</em></u>
32 = + 8
<u>Step 6:</u><u> Subtract 8 from both sides.</u>
32 − 8 =
<u>Step 7:</u><u> Simplify 32 − 8 to 24.</u>
24 =
<u>Step 8:</u><u> </u><u><em>Switch sides.</em></u>
= 24
~I hope I helped you! :)~