All categories

2 years ago

What is the simplified form of the expression?

Mathematics

1 answer:

natali 33 [55]2 years ago

5 0

Answer:

4 sqaure root 24x^3/ 2x

Step-by-step explanation:

See steps below:)

You might be interested in

A motorboat travels 104 kilometers in 4 hours going upstream. It travels 200 kilometers going downstream in the same amount of t

Natali5045456 [20]

$\Large \mathbb{SOLUTION:}$

$\begin{array}{l} \text{Let }r\text{ be the rate of the boat in still water and} \\ c\text{ be the rate of the current.} \\ \\ \text{So } \\ \begin{aligned} \quad&\bullet\:\text{Rate Upstream}= r - c \\ &\bullet\:\text{Rate Downstream}= r - c\end{aligned} \\ \\ \text{We know that }\text{Rate} = \dfrac{\text{Distance}}{\text{Time}}. \end{array}$

$\begin{array}{l} \bold{Equations:} \\ \\ \begin{aligned} &\quad\quad \quad r - c = \dfrac{104}{4} = 26\quad (1) \\ \\ & \quad \quad \quad r + c = \dfrac{200}{4} = 50\quad (2)\\ \\ & \text{Adding (1) and (2), we get} \\ \\ &\quad\quad 2r = 76 \implies \boxed{r = 38\ \text{kph}} \\ \\ &\text{Using (2), it follows that} \\ \\ & \quad \quad c = 50 - r \implies \boxed{c = 12\ \text{kph}} \end{aligned} \end{array}$

8 0

3 years ago

If 18 is 45 percent of a value, what is the value?

ipn [44]

8 is 45% of a number
18 is 45% of x
18 = 45% of x
18 = 0.45 * x

Now, to isolate x, you divide both sides of the equation by 0.45.

18 / 0.45 = 0.45*x /0.45
x = 40

So, 18 is 45% of 40. Hope this helps! :)

4 0

3 years ago

Read 2 more answers

Lagrange Multipliers for Equality Constraints We purchased 180 yards of fence to enclose an area for planting sweet potatoes. De

Softa [21]

Answer:

It would be good to know how wide the building is, but assuming 36 yards, the area could have a length of 72 yards and a width of 36 yards. The area enclosed would be 2592 square yards.

Step-by-step explanation:

x + 4x = 180

5x = 180

x= 36 one side width

2x = length of two sides = 72

Area = lw

72 x 36 = 2592

4 0

3 years ago

What is the common factor between 18 & 24

vitfil [10]

The common factors of 18 and 24 are 2, 3, 6

3 0

3 years ago

Read 2 more answers

If k = Y, and k=7 and x = 9, what is y?

Ugo [173]

Answer:

Step-by-step explanation:

Yall really dont see this! K is EQUAL TO Y. So that means whatever K is, is what y is. k equals 7 so therefore y is 7. SMH

4 0

3 years ago