Answer:
X <= 4
Step-by-step explanation:
-3x - 24<= -36
Make -3x the subject, by carrying -24 to the other side
Note: Moving -24 to the other side changes to + 24
-3x <= -36 + 24
-3x <= - 12
Minus cancels minus
3x <= 12
Divide both sides by 3,to get the value of x
3x/3 <= 12/3
x <= 12/3
x <= 4
Therefore, x equals to 4
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)
One of the product rules for exponents was used.
Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
miles per gallon (x) = d/g
x = 476/14 = x = 34 miles per gallon
so d/x = g
578/34 = 17 gallons are needed
