I am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2
let me know if you have any further questions
:)
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.
The most probable number, in this case, would be by ratio,
32:48 = 360:x
cross multiply and solve for x
x=360*48/32=540
Ans. Most probably there are 540 students enrolled.
Answer:
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Step-by-step explanation:
they will sue for the rest of the money, because they are entitled to it if you are the cause of an accident.
3 liters of water=3,000<span>milliliters of water
</span><span>2.25 liters of juice= 2,250milliliters of juice
</span><span>2,750 milliliters of sports drinks,
</span><span>Ed bought 250 milliliters more water than sports drink it is TRUE
</span>Proof 3,000<span>milliliters -2,750milliliters = 250milliliters
</span><span>Ed bought 1.25 liters more water than juice, it is FALSE
</span>proof 3,000<span>milliliters -2,250milliliters = 750milliliters=0.75l
</span><span>Ed bought 50 milliliters more sports drink than juice. it is FALSE
proof </span><span>2,750 -2,250=500milliliters not 50milliliters
</span><span>Ed bought 0.5 liter more of sports drink than juice. it is TRUE
</span>proof <span>2,750 -2,250=500milliliters =0.5l
</span>
<span>Ed bought 75 milliliters more water than juice. it is FALSE
</span>proof 3,000-2,250= 750milliliters (not 5 milliliters)