The way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.
Since Timmy is helping his grandpa on his chicken farm, and he has to pack 66 eggs into cartons, minimizing the packing cost, and he can use 12-egg cartons and 6-egg cartons, and two 12-egg cartons cost as much as three 6-egg cartons, to determine how many cartons of each should be used, the following calculation must be performed:
- 2 x 12 = 3 x 6
- 24 = 18
- Thus, assuming as an example that a total of 2 cartons of 12 eggs and 3 cartons of 6 eggs cost $ 3, the value of each carton would be the following:
- 3/3 = 1
- 3/2 = 1.5
- 66/12 = 5.5
- 5 x 1.5 + 1 x 1 = X
- 7.5 + 1 = X
- 8.5 = X
In this way, the way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.
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Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
Hello!
Robin can clean 72 rooms in 6 days. How many rooms can Robin clean in 9 days?
We have a proportional magnitude (directly proportional), if we increase the number of days for cleaning, obviously we will have more rooms cleaned, then:
clean rooms __________ days
72 ----------------------------------- 6
y ------------------------------------- 9
multiply the means by the extremes
Answer:
108 clean rooms in 9 days
________________________
I Hope this helps, greetings ... Dexteright02! =)
Answer:
2% gain
Step-by-step explanation:
We assume the shopkeeper bought the appliances at the indicated prices, and that gain is computed on the basis of that cost price.
Since the base cost is the same for each appliance, the percentages can be added directly to find the percentage gain on 8000. However, the shopkeeper's total outlay was 16000, not 8000, so the final gain percentage is half of that total.
gain percent = (-4% + 8%)/2 = 2%
_____
If you want to see the actual numbers:
Loss on VCR = 4% × 8000 = 320.
Gain on TV = 8% × 8000 = 640.
Total gain on 16000 is -320 +640 = 320. As a percentage, that is ...
320/16000 × 100% = 2%
Answer:
Step-by-step explanation:
Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.
Examples
(a) 
From above, we have a power to a power, so, we can think of multiplying the exponents.
i.e.
Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.
SO;
Let's take a look at another example
Here, we apply the 
to both 27 and 
Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.
∴
![= \Bigg (\sqrt[3]{27}^{5} \times x^{10} }\Bigg)](https://tex.z-dn.net/?f=%3D%20%5CBigg%20%28%5Csqrt%5B3%5D%7B27%7D%5E%7B5%7D%20%5Ctimes%20x%5E%7B10%7D%20%7D%5CBigg%29)
