Answer:
<h2>30.67 pounds of 32% copper alloy and 10.33 pounds of 65% copper alloy</h2>
Step-by-step explanation:
First alloy contains 32% copper and the second alloy contains 65% alloy.
We wish to make 44 pounds of a third alloy containing 42% copper.
Let the weight of first alloy used be 
in pounds and the weight of second alloy used be 
in pounds.
Total weight = 
Total weight of copper = 
Subtracting 32 times first equation from second equation,
∴ 30.67 pounds of first alloy and 13.33 pounds of second alloy were used.
Complete Question
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?
Answer:
45 paper cups
Step-by-step explanation:
Step 1
We have to find the volume of the paper cups.
The paper cup is shaped like a cone
Hence, Volume of a cone(paper cup) = 1/3πr²h
π = 3.14
Height = 10 cm
Diameter = 12 cm
Radius = Diameter/2 = 12cm/2 = 6cm
Hence,
Volume = 1/3 × 3.14 × 6² × 10
= 376.8 cm³
Step 2
How many cups can be filled from the cooler?
The cooler contains initially = 16,956 cm³ of water
Hence, the number of cups that can be filled from the cooler is calculated as:
Volume of cooler/Volume of paper cup
= 16,956cm³/376.8 cm³
= 45 paper cups
Therefore, 45 paper cups can be filled from the cooler.
For this problem, you are to multiply the numbers and add the exponents for the variables
10*3= 30
x*x^4= x^5
y^5*y^6= y^11
z^3*z^3= z^6
the answer to the question is 30x^5y^11z^6
Answer:
all two digit whole number which are divisible by 11 are
22+33+44+55+66+77+88+99=484
Answer:
+or-6
Step-by-step explanation:
This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.
