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aleksley [76]
3 years ago
12

Janet and Nadia each play basketball, Nadia has won twice the number of games Janet has, Is it possible for Janet to have won 10

games if the sum of the games
Nadia and Janet have won together is 24?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

It is not possible for Janet to have won 10 games.

Step-by-step explanation:

Let be "x" the number of games Janet won.

We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.

Then, we express this situation with this equation:

So, let's check if it is possible for Janet to have won 10 games. Substitute  into the expression:

Therefore, it is not possible for Janet to have won 10 games.

You might be interested in
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
Please please help me
Anarel [89]

so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length

{5}^{2}  = {3}^{2} ( {b}^{2} ) \\ b = 4

now you can find the bigger triangle's hypotenuse

{6}^{2}  +  {4}^{2}  =  {c}^{2}  \\

c=4

8 0
3 years ago
a particular school has a teacher to a student ratio of a 1 teacher to 11 students. Are there more teachers or students explain
TEA [102]
Read it carefully. It's telling you the answer in the problem! There is one teacher for every 11 students. Of course there are more students! 
7 0
3 years ago
Dante is driving 638 miles to his cousin's house. his car has a 12- gallon tank and goes 22 miles for every gallon of gasoline.
Taya2010 [7]

Each tank goes for

12 \textrm{ gallons} \times \dfrac{22 \textrm{ miles}}{\textrm{gallon}} = 264 \textrm{ miles}

How many times he'll have to stop will be related to

\dfrac{638 \textrm{ miles}}{264 \textrm{ miles per tank}} = \dfrac{29}{12} = 2 \frac 5{12} \textrm{ tanks}

He started with a full tank so that means he'll have to fill up twice, once after 264 miles, once after twice that, 528 miles.

8 0
4 years ago
Martin bought a painting for $5,000. It is expected to appreciate at a continuous rate of 4%. How much will the painting be wort
maksim [4K]

Answer:

$6326.6

Step-by-step explanation:

5000(1.04)^{6} Multiply 5000 by 1.04 to the 6th exponent.

7 0
3 years ago
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