You have a stock of two blends of dry mix sand and cement that you wish to blend to give you 10 tons at 40% cement content. ?
One of these mixes has 20% cement content and the other has 70% cement content. How many tons of each need to be mixed together to give you the target concentration and weight.
One of these mixes has 20% cement content and the other has 70% cement content. How many tons of each need to be mixed together to give you the target concentration and weight.
6 tons at 20% blend
4 tons at 70% blend
Target is a blend with 40% cement
Multiply both sides by 100 to get rid of the fraction
LHS=RHS thus proven to be true
color(white)("d")
By signing up, you agree to our Terms of Service and Privacy Policy
To blend two dry mixtures to achieve a desired percentage of cement content, you can use the following formula:
(C_1 \times W_1 + C_2 \times W_2 = C_f \times W_f)
Where: (C_1) = Percentage of cement in blend 1 (W_1) = Weight of blend 1 (C_2) = Percentage of cement in blend 2 (W_2) = Weight of blend 2 (C_f) = Desired percentage of cement in the final blend (W_f) = Total weight of the final blend
Given: (C_1) = Cement content of blend 1 (unknown) (W_1) = Weight of blend 1 (unknown) (C_2) = Cement content of blend 2 (unknown) (W_2) = Weight of blend 2 (unknown) (C_f) = Desired cement content in the final blend (40% or 0.4) (W_f) = Total weight of the final blend (10 tons)
We have one equation and two unknowns, so we need another equation to solve for (C_1) and (W_1). If we have additional information about the blends, such as their cement content percentages or weights, we can use that information to solve the system of equations.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How do you find the domain of #y = 3/x#?
- How do you find the perimeter of a rectangular object which has a length of square root of 128 feet and a width of square root of 200 feet?
- How do you find the domain and range of #g(x) = sqrt(x-4) #?
- How do you use the order of operations to answer #18200xx100-:91000#?
- How do you evaluate #4 • 4 − 8 ÷ 2 #?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7