Answer:
The solution is t = 1
Step-by-step explanation:
we have:
16 - 2t= t + 9 + 4t
or 16 - 2t = 5t + 9
-2t - 5t = 9 - 16
and
- 7t = -7
or t = -7/-7
t = 1
The solution is t = 1
Answer: You would tell him 1,425ft².
Step-by-step explanation:
f
First, you need to know the equation for finding the area of a trapezoid, which is <em><u>½</u></em><em><u>h</u></em><em><u>(</u></em><em><u>b1</u></em><em><u>+</u></em><em><u>b2</u></em><em><u>)</u></em> .
When you plug in all the number you have into the equation, you have a new equation essentially that says, <em><u>½×30(65+50)</u></em> .
When you start solving the equation, you need to do parentheses first, so <em><u>65+30</u></em>, which would get you 95. This would then turn the equation into <em><u>½×30(95)</u></em> .
Next, you have to do <em><u>30×95</u></em>, which would come out to be 2850. When you do this, your equation would now be <em><u>½</u></em><em><u>×</u></em><em><u>2</u></em><em><u>8</u></em><em><u>5</u></em><em><u>0</u></em> , or essentially <em><u>2850</u></em><em><u>÷</u></em><em><u>2</u></em> .
When you do the last and final step of the problem, which is <em><u>½×2850</u></em>, you would get 1425. But since it's area, your answer would <em><u>1425ft²</u></em>.
Answer: x=20
Step-by-step explanation:
(6x-10)=(3x+50) (subtract both sides by 3x)
3x-10=50(add ten to both sides)
3x=60(divide both sides by 3)
x=20
Answer:
Step-by-step explanation:
This is a definite maybe kind of question.
Start with the 280. It has a range of 280 +/- 10 mL. That means that each serving is between 270 and 290. If she serves exactly 280 every time she will need 22 * 280 = 6160 mL or 6160/1000 = 6.16 L which gives her a margin of 0.340 L or 340 mL
Consider 270 mL
270 mL * 22 = 5940 mL or 5.94 L She has a little over 1/2 L left over. She has enough soup for 22 people.
Finally think about 290 per serving
290 * 22 = 6380. This should work as well providing she has more than 6.38 Liters which is not a slam dunk. With a leeway of 0.5 L and she only makes 6 Liters, she does not have enough.
So maybe. (Since you can explain this question, you can, I should think, use 0.5 Liters as a leeway).
There is one condition I have not considered and that is what happens if you have 7 Liters of soup? Then the leeway in the serving size does not matter.
