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Karo-lina-s [1.5K]
3 years ago
6

X-25/14=6/7 find the solution

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0
x= \frac{6}{7} + \frac{25}{14} = \frac{12+25}{14} = \frac{37}{14}
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Jim buys a calculator that is marked 30% off. If he paid $35, what was the original price?
liraira [26]

Answer:

x = 50

Step-by-step explanation:

Let x be the original price.

He got 30% off

The discount is .30x

Subtract this from the original price to get the price he paid

x - .30x = price he paid

.70x = price he paid

.70x = 35

Divide each side  by .7

.70x/.7 = 35/.7

x=50

5 0
3 years ago
Read 2 more answers
What is the inverse function of d(x) = 2x - 4?
Naddik [55]
Let d(x) = 2x - 4

Or

y = 2x - 4

We have replace x = y

x = 2y - 4

Now Isolate "y"

x + 4 = 2y

Pass "2" dividing

(x + 4) / 2 = y

y = x/2 + 2

Or

d(x)^-1 = x/2 + 2

7 0
3 years ago
Which equation does the graph of the system of equations solve?
jasenka [17]

Answer:

B

Step-by-step explanation:

Equation of line 1:

Choose two points : (-1, 0) & (0,2)

y -intercept = b = 2

y = mx+ 2

Plugin the values of the points ( -1 , 0) in the above equation

0 = -1m + 2

-2 = -m

m  = 2

Equation of line 1 : y = 2x + 2

Equation of line 2:

(5,0) & (0,5)

y-intercept = b = 5

y = mx +b

y = mx + 5

Plugin the value of points (5 , 0) in the above equation

0 = 5m + 5

-5 = 5m

-5/5 = m

m = -1

Equation of line 2: y = -x + 5

Conclusion: 2x + 2 =  -x + 5

3 0
2 years ago
PLS TRY TO ANSWER ASAP.
Harrizon [31]

Answer:

  • <u>0.075 m/min</u>

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

<u>1. Write the equation for the volume of the cone:</u>

      V=\dfrac{1}{3}\pi r^2h

<u />

<u>2. Find the relation between the radius and the height:</u>

  • r = diameter/2 = 5m/2 = 2.5m
  • h = 5.2m
  • h/r =5.2 / 2.5 = 2.08

<u>3. Filling the tank:</u>

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

  • x/y=r/h
  • y = x . h / r

The volume of water inside the cone is:

        V=\dfrac{1}{3}\pi x^2y

        V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3

<u>4. Find the derivative of the volume of water with respect to time:</u>

            \dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}

<u>5. Find x² when the volume of water is 8π m³:</u>

       V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\  11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062m²

<u>6. Solve for dx/dt:</u>

      1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}

      \dfrac{dx}{dt}=0.03596m/min

<u />

<u>7. Find dh/dt:</u>

From y/x = h/r = 2.08:

        y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0
3 years ago
-3(2x+4) = 3(x-6)<br> i need steps too
Bezzdna [24]

If you are looking to find the value of x then you have to use distributive property.

1st: multiply -3 by 2x and 4                -3(2x+4)

                                                             -6x -12

2nd: do the same thing on the other side which is multiply 3 by x and -6

                             3(x-6)

                               3x-18

3rd: Then you have  -6x-12=3x-18

                                        +12     +12

add 12 to each side so then you have -6x=3x-6

then divide by -6 on each side and the answer is x= 2/3

6 0
3 years ago
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