All categories

3 years ago

The product of two numbers is 20. If one the numbers is 5/12 what is the other number

Mathematics

1 answer:

Zepler [3.9K]3 years ago

3 0

Answer:

48.

Step-by-step explanation:

Let's write a simple equation. Let x = other number, then

5/12 * x = 20

x = 20 / 5/12

x = 20 * 12 / 5

x = 4 * 12 = 48 (answer)

You might be interested in

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

4 0

2 years ago

The points plotted below are on the graph of a polynomial. In what range of

Irina-Kira [14]

Answer:

the answer is 0 to 1 and 3 to 4

7 0

2 years ago

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

lisabon 2012 [21]

Answer: The speed of the motorboat is 70 miles per hour

Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140. Then divide 140/2 = 70

At 4 hours, the distance shown is 315 miles.

Subtract: 315 - 35 = 280. Then divide 280/4 = 70

70 mph is the speed.

7 0

3 years ago

On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outst

ivann1987 [24]

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

$\text{total checkbook balance = checkbook balance+ credits}\\$

$= \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85$

$\text{ Adjust check book balance= total checkbook balance - servicec charge}$

$= \$2392.85 - \$5.00\\\\= \$ 2387.85$

Adjusted the Statement Balance:

bank statement balance= $2,253.18

$\text{total Statement balance = bank Statement balance+ transit amount}\\$

$= \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45$

$\text{outstanding check amounts = $105.50+ $158.10}$

$= \$263.60$

$\text{ Adjust statement balance= total statement balance - outstanding check amount }$ $= \$ 2,858.45 - \$263.60\\\\= $ 2,594.85$

8 0

3 years ago

What is the slope of the line that passes through the points (1, 7) and (–4, –8)?

const2013 [10]

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

$\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}$

Given Points are (1 , 7) and (-4 , -8)

here x₁ = 1 and x₂ = -4 and y₁ = 7 and y₂ = -8

$\spadesuit\; Slope(m) = \frac{7 + 8}{1 + 4} = \frac{15}{5} = 3$

3 is answer

7 0

3 years ago

Read 2 more answers