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Alinara [238K]
3 years ago
5

Pipe A can fill 3 tanks in 8 minutes. Pipe B can fill 5 tanks in 10 minutes. How long will it take for them to fill a single tan

k if they work together?
Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

c =4 4/9 minutes

Step-by-step explanation:

The formula is

1/a + 1/b = 1/c  where a and b is the time for each working alone and c is the time working together

1/8 + 1/10 = 1/c

Multiply by 40c to clear the fractions  ( 40c is the least common multiple)

40c(1/8 + 1/10 = 1/c)

5c + 4c = 40)

9c = 40

Divide by 9

9c/9 = 40/9

c =4 4/9 minutes

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Suppose you are covering your desk (shape below) with paper and want to know how many square inches of paper you need.
zavuch27 [327]

Answer:

a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).

b. 279\ in^2

c. The total area of the figure is 279 square inches.

Step-by-step explanation:

a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,

b. The area of a rectangle can be found using this formula:

A=lw

Where "l" is lenght  and "w" is the width.

 Area of Rectangle A

You can identify that:

l_A=19\ in\\\\w_A=11\ in

Then, its area is:

A_A=(19\ in)(11\ in)=209\ in^2

Area of Rectangle B

You can identify that:

l_B=10\ in\\\\w_B=18\ in-11\ in=7\ in

Then, its area is:

A_B=(10\ in)(7\ in)=70\ in^2

Total area

A_T=209\ in^2+70\ in^2=279\ in^2

c. The total area of the figure is 279 square inches.

3 0
3 years ago
Find the percent change from the first value to the second.<br><br> 50; 39
sertanlavr [38]

Answer:

11 percent

Step-by-step explanation:

if you subtract 50 - 39 = 11

so 11 percent is the change from the first value to the second value.

Hope this helps :)

7 0
3 years ago
PLEASE SOLVE PLEASE!!​
Oksanka [162]

Answer:

which one do you need?

Step-by-step explanation:

4 0
3 years ago
Consider the following planes. 3x − 2y + z = 1, 2x + y − 3z = 3
prisoha [69]

Solve for any of the variables; for instance, z:

z=1-3x+2y

z=-\dfrac{3-2x-y}3

Then

1-3x+2y=-\dfrac{3-2x-y}3\implies11x-5y=6\implies\begin{cases}y=\frac{11x-6}5\\z=1-3x+\frac{22x-12}5\end{cases}

Let x=t; then the intersection is given by the vector-valued function

\vec r(t)=\left(t,\dfrac{11t-6}5,1-3t+\dfrac{22t-12}5\right)

or

\vec r(t)=\left(t,\dfrac{11t-6}5,\dfrac{7t-7}5\right)

3 0
3 years ago
3. The triangles are similar. Find the value of x.
BlackZzzverrR [31]

Answer:

yeah

Step-by-step explanation:

3 0
3 years ago
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