Answer:
The answer is below
Step-by-step explanation:
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?
Solution:
Let the width of the box be x cm.
The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40
The height of the box = 12 cm
The volume of the box can be gotten from the formula:
Volume = length × width × height
Substituting:
Volume = (x + 40) × (x) × 12
Volume = 12x(x + 40)
Therefore the volume of the new box is 12x(x + 40)
Answer:
Below
Step-by-step explanation:
Population: 10,000
Sample: 250
First, put the numbers in order...very important
301,305,310,317,325,328,345,361,362,394
minimum (smallest number) = 301
Q1 = 310
Q2 (middle number) = (325 + 328)/2 = 653/2 = 326.5
Q3 = 361
maximum (largest number) = 394
<span>Simplifying
8x + -6y = -20
</span><span>Solving
8x + -6y = -20
</span><span>Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right
</span><span>Add '6y' to each side of the equation.
8x + -6y + 6y = -20 + 6y
</span><span>Combine like terms: -6y + 6y = 0
8x + 0 = -20 + 6y
8x = -20 + 6y
</span>
Divide each side by '8'.
x = -2.5 + 0.75y
<span>Simplifying
x = -2.5 + 0.75y</span>
Answer:
60 minutes or 1 hour
Step-by-step explanation:
Set x as the amount of time she spends riding the bus
75 = time on bus + time on train
She spends 4 times as long on the train as on the bus so the time she spends on the train is 4x
75 = x + 4x
75 = 5x
x = 15 minutes on the bus
Since she spends 4 times as long on the train, we do 4 x 15 and we get 60 minutes which is 1 hour
