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sp2606 [1]
3 years ago
5

Write an expression to represent:One more than the quotient of a number X and 4

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

X/4 +1

Step-by-step explanation:

The word "quotient" tells us that we'll be dividing X and 4.

This can be modeled as X/4

To this quantity, we will be adding 1.

We now get X/4 +1

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A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
?? Help with this question plz ‼️
baherus [9]

Answer:

The fastest runner is Katie

Step-by-step explanation:

In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.

Katie

14 feet/1 second = 14 ft per second

Zach

576 feet/46 seconds = 12.52 ft per second

Tony

1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second

Will

827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.

So we know that the fastest is Katie.

3 0
3 years ago
Jason sells tires and makes 15% commission. If he sold a total of $850 last week, how much commission will he earn?
Anastaziya [24]

Answer:

$127.5

Step-by-step explanation:

15% of $850 is 850 times .15 (% is decimal multiplied by 100)

850 * .15 = $127.50

6 0
3 years ago
Solve xy -5= k for x
Virty [35]

Hey there!

To solve, let's first add 5 to both sides.

xy=k+5

Now we divide both sides by y.

x=\frac{k+5}{y}

I hope this helps!

5 0
3 years ago
Read 2 more answers
A bat and a ball cost a total of $1.10. If the bat costs a dollar more than the ball, how much does the ball cost?
Natalija [7]
10 cents hope this helps
8 0
3 years ago
Read 2 more answers
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