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3 years ago

Enter a fraction that makes the equation below true. 3/10 divided by what equals 2/5?

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

Answer:

x=0.75

Step-by-step explanation:

Solve for x by cross multiplying.

Strike441 [17]3 years ago

3 0

Answer:

3/4

Step-by-step explanation:

Write out and solve the equation

3/10 2

-------------- = ------

x 5

Cross-multiplying, we get 15/10 = 2x, and so x must be 15/20, or 3/4

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An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

2 years ago

Can anyone do this question with work please

ioda

I just know you can eliminate a which 18 degrees and c which is 61 degrees because m

7 0

2 years ago

1) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%

Kitty [74]

Answer:

4 years

Step-by-step explanation:

I = $ 400

R = 5%

P =$ 2000

I = Prt

400 = 2000 * $\frac{5}{100}$ * t

400 = 20 * 5 * t

400 = 100 t

$\frac{400}{100}=t$

t = 4 years

3 0

3 years ago

Select the statement that describes this expression: fraction 1 over 2 x (734 − 246).

vodomira [7]

Answer:

244

Step-by-step explanation:

fraction fraction 1/2 the quotient of 734 and 246

3 0

3 years ago

Read 2 more answers

In myrtle beach, the maximum height off the water a parasailor can be is 500 feet. I the rope is 800 feet long, about how many f

Julli [10]

Answer:

624.5 feet

Step-by-step explanation:

Calculation to determine how many feet from the boat is the parasailor

Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula

a²+b²=c²

First step is to plug in the formula by substituting the given value

500²+b²=800²

Second step is to evaluate the exponent

250,000+b²=640,000

Third step is to substract 250,000 from both side and simplify

250,000+b²-250,000=640,000-250,000

b²=390,000

Now let determine how many feet from the boat is the parasailor

Parasailor feet=√b²

Parasailor feet=√390,000

Parasailor feet=b=624.49

Parasailor feet=b=624.5 feet (Approximately)

Therefore how many feet from the boat is the parasailor will be 624.5 feet

8 0

2 years ago