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3 years ago

If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3.

2 answers:

6 0

Since y varies inversely to x
xy = k
so 5*-2 = -10

plug x and k into xy = k

-10 = 3y
divide both sides with 3
y = -10/3 or -3.3333

sergiy2304 [10]3 years ago

5 0

Y varies inversly as x means
y=k/x

k is constantt
find k

so
5=k/-2
times -2 both sides
-10=k

y=-10/x

when x=3

y=-10/3

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please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago

Which number is a perfect cube 5,100,125,150

kolbaska11 [484]

Answer is 125.
Because it's cube root is an integer:)

6 0

3 years ago

What is the y-value for f(x) = cos(x) when x = 180°?<br> -1<br> 0<br> 1/2<br> 1

maksim [4K]

You start at 0 on the unit circle the cos of 0 =1, but at cos 0 there is no angle at all so there is no y value so at cos 0 y=0, 180 is the opposite direction of the starting point which is 0 so the x value of cos180= -1 but there is still no upward or downward angle ie.. y value. so the y value = 0 at 0 and 180. answer is 0

8 0

2 years ago

Adds up to 13 multiplies to -48

fiasKO [112]

You only need two numbers to do that.
The numbers are 16 and -3 .

16 - 3 = 13

(16) x (-3) = -48

7 0

3 years ago

6.8(6.7 – 7.2) – 2(4.6 + 1.2) = ???????

Gnesinka [82]

Answer:

6.8(6.7 – 7.2) – 2(4.6 + 1.2) =-15

Step-by-step explanation: