Solving a system of equations we can see that:
They need to use 80kg of the 60% chocolate and 20kg of the 40% chocolate.
<h3>
How to find how much of each candy needs to be used?</h3>
Let's define the variables:
- x = kilograms of the 40% chocolate.
- y = kilograms of the 60% chocolate.
They want to make 100kg, then:
x + y = 100
And the concentration must be of the 56%, then we can write:
x*0.4 + y*0.6 = (100)*0.56 = 56
Then we have a system of equations:
x + y = 100
x*0.4 + y*0.6 = 56
To solve this, we can isolate x on the first equation to get:
x = 100 - y
Now replace that in the other equation:
(100 - y)*0.4 + y*0.6 = 56
40 + y*0.2 = 56
y*0.2 = 16
y = 16/0.2 = 80
This means that they need to use 80kg of the 60% chocolate and the other 20kg of the 40% chocolate.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer: 55.1°F
Step-by-step explanation:
We are informed that there is a 1.6°F drop in temperature for every thousand feet that an airplane climbs into the sky, if the plane reaches an altitude of 2,000ft, the drop in temperature will be:
= 1.6° × 2
= 3.2°F
If the temperature on the ground is 58.3°F, then the temperature when the plane reaches an altitude of 2,000 ft will be:
= 58.3°F - 3.2°F
= 55.1°F
Shouldnt it be 1/6 because it has six sides
Answer: 30 minutes
Step-by-step explanation: It takes 9 minutes to get 3/10 the way there, so just divide 9 by 3 to get 3, which is 1/10 the way there. Multiply 3 by 9 to get the remaining 9/10 and add to get a total of 30. Hope this helped!
X^2+2x^2=14+7
3x^2=21
x^2=7
x=±√7