Answer:
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so, the cube has a <u>cubic hole</u> in the middle.
now, if we nevermind the hole, the volume of the cube, or rectangular prism, is simply the product of its length, width and height, namely 20*20*5, or 2000 cm³.
however, we'll need to subtract the hole from it, and since the hole is another rectangular prism, then its volume is 5*5*5 = 125 cm³.
so if we <u>subtract the volume of the hole</u> from the total volume of the cubic container, what's leftover is just the volume of the <u>cube without the hole</u>, namely
2000 - 125 = 1875 cm³.
The adult tickets cost $5 and the child tickets cost $2
Monday
5 x ($2) + 3 x ($5) = $25
Tuesday
4 x ($2) + 4 x ($5) = $28
Determine a relationship between the x- and y- values. write an equation.
x =1 2 3 4
y = 4 5 6 7Step One: Determine two coordinates written as (x,y)
(1,4) (2,5)
Step Two: Use the formula
Step Three: Simplify to identify the slope
Step Four: Plug your slope (m) into the equation y=mx+b
y = 1x + b
Step Five: Using a coordinate of your choice, plug x and y in to their respective places. (I'm using (1,4))
4 = 1*1 + b
Step Six: Simplify
Step Seven: Isolate b
Step Eight: Rewrite your equation
y = 1x + 3
OR
y = x + 3
(It's more likely you'll see it written the second way)
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Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1
v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing