Answer:
11.63 - 6.7 = 4.93
Hope this helps!
: no, ur so rude. why do u have to be so mean ....
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Answer:
3 and 9 both have factors 1 and 3 in common.
Explanation:
A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.
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Step-by-step explanation:
If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:
x + y = 200
0.30x + 0.50y = 0.46(200)
Solving the system of equations with substitution:
0.30x + 0.50(200 − x) = 0.46(200)
0.30x + 100 − 0.50x = 92
8 = 0.20x
x = 40
y = 200 − x
y = 160
The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.
To obtain 200 kilograms of a 46% fat-content chocolate, the candy distributor needs to mix 40 kilograms of a 30% fat-content chocolate and 160 kilograms of a 50% fat-content chocolate.
This problem can be solved using a basic mixture problem method. Let's name the amount of the 30% fat-content chocolate as 'x' and the amount of the 50% fat-content chocolate as 'y'. The total weight of the resulting chocolate is provided in the problem, 200 kilograms, therefore we know that x + y = 200.
The total fat in the chocolates should be 46% of 200kg, or 92kg. This gives us another equation based on the fat content, 0.3x + 0.5y = 92.
Solving these two equations linearly, we find the values of x and y. The amount of 30% fat content chocolate (x) is 40 kilograms and the amount of 50% fat-content chocolate (y) is 160 kilograms.
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Answer:
Step-by-step explanation:
9x*(9x - 32) = (9x- 24)²
9x*9x - 9x*32 = 81x² - 2*9x*24 + 576
81x² - 288x = 81x² - 432x + 576
81x² - 288x - 81x² + 432x - 576 = 0
81x² - 81x² - 288x + 432x - 576 = 0
144x - 576 = 0
144x = 576
x = 576/144
x =4
Step-by-step explanation: