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AlladinOne [14]
3 years ago
9

If Y is inversely proportional to x and y=4 when x= 100, what is the value of y when x=250

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

y=10

Step-by-step explanation:

\frac{4}{100}=\frac{y}{250}

cross-multiply, 4*250=100y

isolate the variable and solve for y, 1000=100y

divide 100 on both sides, 10=y

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Soloha48 [4]

Answer:

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7 0
3 years ago
Solve the following system of equations algebraically:<br> y = x^2+7x−4 <br> y = −x−4
oksian1 [2.3K]
Y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
      + x       + x
x² + 8x - 4 = -4
           + 4  + 4
     x² + 8x = 0
x(x) + x(8) = 0
    x(x + 8) = 0
x = 0  or  x + 8 = 0
                   - 8  - 8
                     x = -8

      y = -x - 4
      y = -0 - 4
      y = 0 - 4
      y = -4
(x, y) = (0, -4)
         or
       y = -x - 4
       y = -(-8) - 4
       y = 8 - 4
       y = 4
 (x, y) = (-8, 4)

The solutions are (0, -4) and (8, -4).
7 0
3 years ago
Read 2 more answers
3) The foot of a ladder is 1.2 m from a fence
VashaNatasha [74]

Answer: 4.5\ meters

Step-by-step explanation:

Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.

Notice that there are two similar triangles.

So, you can set up the following proportion:

\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}

Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".

Therefore, the value of "h" is :

\frac{1.8}{1.2}=\frac{h}{3}\\\\(3)(\frac{1.8}{1.2})=h\\\\\frac{5.4}{1.2}=h\\\\h=4.5

5 0
3 years ago
ALSO WORTH 50 POINTS Which graph matches the inequality: 2(4x - 5) &lt; 14x + 8?
ss7ja [257]

Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3


6 0
3 years ago
Heeeeeeeeeeeeeeeeelp
mel-nik [20]

Answer:6hrs and &270

8hours and &360

9.5hours and&427.50

Step-by-step explanation:

8 0
2 years ago
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