Answer:
2:1
Step-by-step explanation:
well we show ratio by the sign ' : '
ratio of iced tea to lemonade= 12:6
now we reduce it to minimum by dividing it with same number.
12 is divisible by 6
so,
the reduced form is = 2:1
therefore,
ratio of the number of students who want iced tea to the number of students who want lemonade = 2:1.
Hello there!
The question asks us to solve using the substitution method. The equations given are:
We are given a value for y, which is x-8. Substituting into the first equation of the system of equation gives us:
Use the distributive property to help simplify and solve for x
Combine like terms
Add 24 to both sides
Finally, divide both sides by 5
Now, let's use in the equation to find the value of y
Now, we have the values x=5 and y=-3. Putting these values into an ordered pair gives us the answer (5,-3), which is the last answer choice.
Let me know if you need any clarifications, thanks!
~ Padoru
The height of the container that will be able to minimize the cost will be 3.08cm.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= (3x)(4x)h
= 12x²h
From the information given, we are told that the container must contain 48in³. Therefore,
48 = 12x²h
h = 4/x²
The function cost will be:
= 3.50(2)(12x²) + 4.40(14x)h
= 84x² + 61.6x(4/x²)
= 84x² + 246.4/x
We'll use the first derivative. This will be:
dC/dx = 168x - 246.4/x²
x = 1.14.
Therefore, the height will be:
h = 4/x² = 4/1.14² = 3.08cm
In conclusion, the height is 3.08cm.
Learn more about height on:
brainly.com/question/1557718
Answer:
D) 6^5 · 3^5
Step-by-step explanation:
(6 · 3)^5 = 1889568
A) WRONG
(5 · (6 · 3)) = 90
B) WRONG
9^5 = 59049
C) WRONG
6 · 3^5 = 1458
D) CORRECT
6^5 · 3^5 = 1889568
