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WITCHER [35]
3 years ago
6

If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

y = 28

Step-by-step explanation:

Given that y varies directly as x and inversely as z then the equation relating them is

y = \frac{kx}{z} ← k is the constant of variation

To find k use the condition y = 4 when x = 2 and z = 7, then

4 = \frac{2k}{7} ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = \frac{14x}{z} ← equation of variation

When x = 6 and z = 3 , then

y = \frac{14(6)}{3} = 14 × 2 = 28

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Please answer what the answer for ? Is.
vitfil [10]

Answer:

5/8

Step-by-step explanation:

A.   2/3 × 4/5 × m = 1/3               B.      4/5 × 2/3 × m = 1/3

      8/15 × m = 1/3                                 8/ 15 × m  = 1/3                                    

                 m = 1/3 ÷ 8/15                                 m = 1/3 ÷ 8/15

                  m = 1/3 ×15/8                                 m = 1/3  × 15/8

                  m = 5/8                                          m = 5/8        

C.  2/3 × 4/5 = 1/3 ÷ m        

            8/15 =  1/3 ×  1/m

            8/15 = 1/3m                   cross multiply  

           (3m) × (8) = 15

                24m = 15

                     m = 15/24

                     m=  5/8

4 0
2 years ago
How much longer is the distance from the library to the park to the train station than the distance from the library straight to
Slav-nsk [51]

Answer:

2.14

Step-by-step explanation:

2.14+3.82= 5.96

5.96-3.82= 2.14

So, your answer would be 2.14

7 0
2 years ago
Please answer these questions and please show your work. I'm giving 30 points for this question, so please answer honestly.
ASHA 777 [7]

Answer:

just use symbolab it gives you the answer and the work

Step-by-step explanation:

i would show you but its easier if you do it

7 0
2 years ago
What are the coordinates of the midpoint of the line segment with endpoints 2,5 and 4,-7
Phoenix [80]
<h3>Answer:   (3, -1)</h3>

===============================================

Explanation:

The midpoint formula is (x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

This basically says to add the corresponding coordinates and divide by 2.

The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.

The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.

So overall the midpoint is located at (3, -1)

8 0
2 years ago
Here is the other question i was gonna mention, Ace =.= i would put it in the comments but i dont want to deal with brainly bein
navik [9.2K]

Answer:

a.) 9, -9

b.) 2(sqrt)15, -2(sqrt)15

c.) 4, -2+2i(sqrt)3, -2-2i(sqrt)3

d.) 3(sqrt)75

(some of the numbers are placed differently than I wrote them so here are screenshots- pls look at them rather than what I wrote ;w;)

3 0
2 years ago
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