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erma4kov [3.2K]

3 years ago

13

Lisa, an experienced shipping clerk can fill an order in 9 hours. Felipe a clerk needs 11 hours to do the same job. Working toge

ther how long will it take them to fill the order.

1 answer:

Fynjy0 [20]3 years ago

4 0

Answer:

4 hours and 57 minutes.

Step-by-step explanation:

The least common multiple of 9 and 11 is 99 .

In 99 hours, Sue could fill 11 orders (99 divided by 11)

Felipe could fill 9 orders ( 99 divided by 11 ), making a total of

9 + 11 = 20 orders if they both work.

So for both of them working to fill one order would take:

99 /20 hours.

To express in hours and minutes:

99 /20 = 80 /20 + 19 /20 = 4 + 3 ⋅ 19 /3 ⋅ 20 = 4 + 57 /60

That's 4 hours and 57 minutes, since a sixtieth of an hour is one minute.

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The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

There are 6 cubes in the figure
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

There are 6 cubes in the figure
2 cubes at the top and 4 at the bottom
The dimensions of the cubes are equal
The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes + Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

5 0

1 year ago

Explain how to write a quadratic equation given the following three points on the graph (5,31) (3,11) (0,11)

masha68 [24]

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

$y=ax^2+bx+c$ ...(i)

It is passes through the point (0,11). So, substitute $x=0,y=11$ in (i).

$11=a(0)^2+b(0)+c$

$11=c$

Putting $c=11$ in (i), we get

$y=ax^2+bx+11$ ...(ii)

The quadratic function passes through the point (5,31). So, substitute $x=5,y=31$ in (ii).

$31=a(5)^2+b(5)+11$

$31-11=a(25)+5b$

$20=25a+5b$

Divide both sides by 5.

$4=5a+b$ ...(iii)

The quadratic function passes through the point (3,11). So, substitute $x=3,y=11$ in (ii).

$11=a(3)^2+b(3)+11$

$11-11=a(9)+3b$

$0=9a+3b$

Divide both sides by 3.

$0=3a+b$ ...(iv)

Subtracting (iv) from (iii), we get

$4-0=5a+b-3a-b$

$4=2a$

$\dfrac{4}{2}=a$

$2=a$

Putting $a=2$ in (iv), we get

$0=3(2)+b$

$0=6+b$

$-6=b$

Putting $a=2,b=-6$ in (ii), we get

$y=(2)x^2+(-6)x+11$

$y=2x^2-6x+11$

Therefore, the required quadratic equation is $y=2x^2-6x+11$ .

7 0

2 years ago

Does the question have no solution, one solution, or a infinite number of solutions?

Rus_ich [418]

Answer:

No solution

Step-by-step explanation:

I used this online calculator to find the answer. It shows the steps and everything. https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7

4 0

3 years ago

Read 2 more answers

The radius of a cylindrical tank is 3' and the height is 8'what is the volume

valentinak56 [21]

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: $\pi$ × r² × h

Volume of cylindrical tank = $\pi$ × 3² × 8

= 72 $\pi$

= 226 cubed foot (rounded to 3 s.f.)

7 0

3 years ago

5a+2=6-7a please help me fellows

stira [4]

<span>5a + 2 = 6 - 7a
5a + 7a = 6 - 2
12a = 4
a = 4/12 = 1/3

</span>

6 0

3 years ago