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cestrela7 [59]
3 years ago
10

If y varies directly as x and y=32 when x=4. find the constant of variation​

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
The answer to the equation is 128
Llana [10]3 years ago
7 0

Answer:

k = 8

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

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(5x^2+8x+18)+(11x^2-17x-7)
GuDViN [60]

Answer: 16x^2 - 9x + 11

Step-by-step explanation:

(5x^2+8x+18)+(11x^2-17x-7)

5x^2+8x+18+11x^2-17x-7

16x^2 - 9x + 11

3 0
3 years ago
Read 2 more answers
A freight carrier charges $0.57 for the first ounce plus an additional $0.32 for every
Rzqust [24]

Answer:

2.2084384 in cents, and 22.084384 in dollars

Step-by-step explanation:

Apologies in advance if I've got something wrong, it's currently 12:08 at night for me njnhrj

First we'd like to figure out how much we have after calculating the weight left over after charging for the first ounce.

7.90137-1=6.90137

Multiply by .32, and you've got your sum in cents; 2.2084384‬

Divide this by 0.1 and you've got it in dollars; 22.084384

7 0
3 years ago
Find the slope and the y-intercept for the line. y=2/5x
kondor19780726 [428]
Answer:

Slope= 2/5

y intercept = 0
3 0
3 years ago
A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim
arlik [135]

Answer:

20

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

     +s          +s

6 - 4s = 60

-6         -6

---------------------

-4s = 54

-----   -----

 -4     -4

   s ≅ 14

14 + 6 = 20

5 0
1 year ago
Read 2 more answers
Please helppp
tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
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