Answer:
x is 6
Step-by-step explanation:
3/4 * x/8
3*8=24 then,
divide by 4 which gives you 6.
Also if you simplify 6/8, it will give you 3/4.
Let x be the length and y be the width of a rectangle.
Area = xy
When x and y are doubled
Length = 2x and Width = 2y
Area = 2x x 2y
Area = 4xy
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Answer: When the dimension is doubled, the area is 4 times the original.
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Answer:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV
Step-by-step explanation:
For this case we can set a linear model like this:

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

and solving for b we got:

And then we can conclude that she earns 60 for each TV
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
Answer: 0.033 liters or 33 ml each
Step-by-step explanation:
There are 33 liters of orange juice and 1,010 students to drink it.
If they are to drink an equal amount, you should divide the quantity of orange juice by the number of students who want to drink it:
= Quantity of orange juice / Number of students drinking
= 33 / 1,010
= 0.033 liters each
In milliliters this would be:
= 0.033 * 1,000 milliliters
= 33 ml each