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3 years ago

If one side of a cube measures x cm what is the volume

Mathematics

1 answer:

Inessa05 [86]3 years ago

7 0

Answer:

The volume is x times x times x which is x^3 :)

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EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell

expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= $32R+38D\leq 2100$

Total labor hours required

= $4R+6D\leq 280$

Sales revenue = $46R+55D$

Solving the two constraints we have

10D $\leq$ 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0

4 years ago

Identify the following data set:

Vsevolod [243]

Answer: Population

Step-by-step explanation:

6 0

3 years ago

Other expressions for 19 times 25 + 19 times 75

Vladimir [108]

Answer:

1,900

Step-by-step explanation:

4 0

3 years ago

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0

3 years ago

Simplify the following surd expressions a) 7/3 - 2/3 + V3 - 3V3

Nata [24]

Answer:

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

Step-by-step explanation:

Given the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3$

solving the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}$

combine the fractions i.e $\frac{7}{3}-\frac{2}{3}=\frac{5}{3}$

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}$

add similar elements i.e $\sqrt{3}-3\sqrt{3}=-2\sqrt{3}$

$=\frac{5}{3}-2\sqrt{3}$

Thus,

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

4 0

3 years ago