Answer:
Actually, what you said you have so far is not correct. The 2 correct answers are the 1st one (x + y = 15) and the 5th one (15x + 10y > 180)
Step-by-step explanation:
If tutoring French is x hours and scooping ice cream is y hours and he is going to work 15 hours for sure doing both, then we can add them together to get that x hours + y hours = 15 hours, or put simply: x + y = 15.
Now we are going to throw in the added fun of the money he makes doing each. The thing to realize here is that we can only add like terms. So looking at the equation above, we have x hours of tutoring and y hours of scooping, so if we want to add them, we will add those number of hours together to get the total number of hours he worked, which we know to be 15. The same goes for money. If we add money earned from tutoring to money earned from scooping, we need that to be greater than the money he wants to earn which is 180 at least. Because he wants to earn MORE than $180. we use the ">" sign. Since he earns $15 an hour tutoring, that expression is $15x; since he earns $10 an hour scooping, that expression is $10y. Now add them together (and you CAN because they are both expressions relating dollars to dollars) and set the sum > $180:
$15x + $10y > $180. That's why your answer is not correct. Use mine (with the understanding that you care about why yours is wrong and mine is correct) and you'll be fine.
Answer:
96
Step-by-step explanation:
First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.
(3 + 2) - 3² = 5 - 9 = -4
Regards :)
<h3>
Answer: 35</h3>
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Explanation:
A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.
Doing this will help us solve for x.
(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360
(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360
45x+90 = 360
45x = 360-90 ... subtract 90 from both sides
45x = 270
x = 270/45 ..... divide both sides by 45
x = 6
We'll then plug this x value into the angle expression for angle TQU
angle TQU = 5x+5
angle TQU = 5*6+5
angle TQU = 35 degrees
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Extra info:
- angle VQR = 130 degrees
- angle RQS = 80 degrees (same as angle UQV)
- angle SQT = 35 degrees (same as angle TQU)
- Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.
B. long term goal .......................
