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Eva8 [605]
3 years ago
10

Suppose y varies directly with x. If y=6 when y=-2, find x when y=15.

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

-5

Step-by-step explanation:

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X/4+5=x/3+10<br><br> Solve and check.
Mrrafil [7]
So,

\frac{x}{4} +5= \frac{x}{3} +10

To get rid of the fractions, find the LCM of the denominators.

LCM of 4, 3 = 12

Multiply both sides by 12.

3x +60= 4x +120

Subtract 3x from both sides.
60 = x + 120

Subtract 120 from both sides.
x = -60


Check.

\frac{-60}{4} +5= \frac{-60}{3} +10

-15 + 5 = -20 + 10

-10 = -10

This checks.

S = {-60}
4 0
3 years ago
Read 2 more answers
For each sentence, write an equation. Solve the equation to find the number
Sholpan [36]

Answer:

a) x=-15

b) x= 27

c) x=14

Step-by-step explanation:

a)  x/-3+1=6       x/-3=5           (-3)x/-3=5(-3)                 x=-15

          -1   -1

b) 3-x/9=0         -x/9=-3          (-9) -x/9=-3(-9)            x=27

  -3        -3

c) x/-2+4=-3        x/-2= -7       (-2)x/-2= -7(-2)          x=14    

         -4   -4

6 0
3 years ago
At a local amusement park, 70% of the rides are made for kids who are 48 inches and taller. If there are 80 rides in total, how
Musya8 [376]

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

\frac{n}{80} = \frac{70}{100}

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

8 0
2 years ago
The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acc
Scrat [10]

Answer:

v0 + 1/2at

Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.

The equation for the driver's average speed s during the acceleration will be:

(v0t+12at2) / t

Since Average speed is equal to distance divided by time.

Therefore, the equation will be:

v0+1/2at

7 0
3 years ago
Find the value of the trigonometric ratio.<br> 9) sin z
azamat

Answer:

SinZ=24/40 = 12/20 = 3/5

C)

3 0
3 years ago
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