Answer:
1603
Step-by-step explanation:
3^3*4^3-5^3
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3*3*3=9*3=27
4*4*4=16*4=64
5*5*5=25*5=125
(27*64)-125
1728-125
1603
Answer:
x= 44 ounces y = 66 ounces
Step-by-step explanation:
Distribution would be an increase to find 80% salt.
Where we use 4/5 = 80 but use here 4/5.
We find 19/20 but just say 95 for solution B =
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 110 y = 110 - x
(70x + 95y) = 4/5 x 110
70x + 95y = 88
70x + 95 y = 88
70x + 95 (88 - x) = 8800 make units equal or for start convert decimalization = same units as 2nd multiplied value.
70x + 8360 - 88x = 8800
-10x - 8360 - 8800 = y
-10x = 440
x = 44 ounces
y = 110- 44
y = 66 ounces
Answer:
Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.
Step-by-step explanation:
We can solve this by using <em>simultaneous equations</em>:
- Let us express the question in terms of equations
Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.
Equation 1: 0.5a + 0.8b = 0.59(a+b)
Equation 2: a + b = 2000
From equation 2, a = 2000 - b (Let's call this equation 3)
2. Substituting equations 2 and 3 in Equation 1:
0.5a + 0.8b = 0.59(a+b)
0.5(2000 - b) + 0.8b = 0.59(2000)
1000 - 0.5b + 0.8b = 1180
0.3b = 180
b = 600
Substitute in equation 3:
a = 2000 - 600
a = 1400
As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.
Answer:
see below
Step-by-step explanation:
The slopes of parallel lines are the same. The slopes of perpendicular lines are negative reciprocals of each other, hence their product is -1.
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For the most part, the concept of adding slopes of lines does not relate to parallel or perpendicular lines in any way.
