Answer:
Acording to the question,
Cost per cup = $1.29
Total number of cups = 12
Total cost of cups = 12 x 1.2 = $15.48
Cost of candies = $2.49 per cup
Total number of candies = x
Cost of nuts = $0.69 per cup
Total number of nuts = y
Equations :
x + y = 12 (because total cups of nuts and candies will be equal to 12)
2.49x + 0.69y = 15.48 (Total cost of the 12 cups should be 15.48)
<u>Step 1 : Find x in terms of y</u>
x = 12 - y
<u>Step 2 : substitute x in terms of y from step 1 in the second equation</u>
2.49x + 0.69y = 15.48
2.49 ( 12 - y) + 0.69y = 15.48
29.88 - 2.49y + 0.69y = 15.48
-1.8y = -14.4
y = 14.4/1.8
y = 8
Step 3 : Find x
x + y = 12
x = 12 - y
x = 12- 8
x = 4
Thus,Yumi should use 4 cups of candies and 8 cups of nuts.
Answer: It will take 8 hours to reach this temperature.
Step-by-step explanation:
Given: At a desert resort, the temperature at 7 a.m. was 3°C.
The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.
Let x be the number of hours taken to reach 30.2°C..
As per given ,
Initial temperature +(average increase in temperature) (Number of hours) = 30.2
⇒3+3.4x=30.2
⇒3.4x=30.2-3
⇒3.4x=27.2
⇒ x=8 [Divide both sides by 3.4]
Hence, it will take 8 hours to reach this temperature.
Find the amount of the difference and then divide it by the original amount:
380 - 350 = 30
30 / 350 = 0.0857 = 8.6% increase. Round the answer as needed.
This is<span> not the exact, precise </span>definition<span> of a </span>limit. If you would like to see the more precise and mathematical definition<span> of a </span>limit<span> you should check out the The </span>Definition<span> of a </span>Limit<span> section at the end of this chapter. The </span>definition<span> given above </span>is<span> more of a “working” </span>definition<span>.</span>