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fiasKO [112]
3 years ago
10

The variable x varies jointly with y and z. Use x=2, y=4, z=1 to write an equation relating x, y

Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer:

Equation is x=\frac{1}{2}yz and when y=2 and z=4, x will be 4.

Step-by-step explanation:

Given:

x varies jointly with y and z.

It also means x is directly proportional to y and z.

x=2, y =4,z=1

From above values we can compute the equation as.

x=\frac{1}{2}yz\\2= \frac{1}{2} \times 4 \times 1\\2=2

Hence the Equation is x=\frac{1}{2}yz

Now y=2 and z=4 we get.

x=\frac{1}{2}\times 2 \times 4= 4

Hence when y=2 and z=4, x will be 4.

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julia-pushkina [17]

Answer:

B) 9

Step-by-step explanation:

\frac{2x-8}{2x-3} = \frac{x-3}{x}

x = 9

7 0
3 years ago
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Evaluate x=-3, y=4, z=-5<br> Answers suggested below<br> -17<br> 41<br> 23<br> -40<br> -58<br> -16
tatiyna

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

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6 0
3 years ago
The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie
andrew-mc [135]

Complete Question

The complete question is shown on the first uploaded image

Answer:

FWOC should hire 70,000 hunters to completely remove the python in the area

Step-by-step explanation:

From the question we are given that the Initial Pythons P_o= 100,000

And the final python   P_f =100,000+\frac{P}{10,000}(100,000-P)

                                      P_f = 100,000 + 10P -\frac{P^2}{10,000}

                For Max Number of  Python

                                        => \frac{dP_f}{dP} = 0

                                        => \frac{dP_f}{dP} =  100,000 -2P = 0

                                       =>   P = 50,000

Hence the maximum number of pythons Max_P =100,000 +\frac{50,000}{10,000} (50,000)

                                                                               =350,000

Using Mathematical relations

              from the Question

     5 python is killed by  = 1 hunter

      1 python is killed by =  \frac{1}{5}  \ hunters

      350 , 000 pythons are killed by  =   \frac{350,000}{5}

                                                             = 70,000 \ hunters

   

                                         

3 0
3 years ago
Can someone pls Help me with geometry
RUDIKE [14]

∠P = 6x + 6

∠Q = 2x + 11

∠R = 2x + 3

    ∠P   +    ∠Q     +     ∠R    = 180

(6x + 6) + (2x + 11) + (2x + 3) = 180

                              10x + 20 = 180

                                        10x = 160

                                           x = 16

∠Q = 2x + 11   = 2(16) + 11   = 32 + 11   = 43

Answer: 43°

8 0
3 years ago
Betty is stacking boxes at a factory. Each box is
Sliva [168]

Answer:

  13

Step-by-step explanation:

In inches, the height of the ceiling is ...

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The number of times 13.25 inches will fit in this space is ...

  (180 in)/(13.25 in) ≈ 13.6

Betty can fit 13 whole boxes in the space.

5 0
3 years ago
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