Answer:
680
Step-by-step explanation:
Answer:
B) 63°
Step-by-step explanation:
<u>Step 1:</u> find the angle beside x (inside the pentagon)
<em>*A pentagon has a total of 540°</em>
119 + 100 + 116 + 88 = 423
540 - 423 = 117
<u>Step 2:</u> x is a supplementary angle, which means it's angle adds up to 180°
Since we know the other angle is 117°, we just subtract that from 180
180 - 117 = 63
x = 63
Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
3.1%
Step-by-step explanation:
6/196 × 100% = 3.1%
