If 2/3x - 1 =4, then x =

Answer:

42.1 cm

Step-by-step explanation:

θ = 265°

Radius (r) = 9.1 cm

Arc length of major arc GH = θ/360 × 2πr

Plug in the values into the equation

Length of arc GH = 265/360 × 2 × π × 9.1

= 42.0886149

= 42.1 cm (nearest tenth)

Answer:

47.9 gm

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total butter took = 54.8 gm

Extra butter quantity = 6.9g

So, we can calculate the exact quantity of butter needed by using following formula,

Exact butter needed = Total butter - Extra butter quantity

By putting the value, we get

Exact butter needed = 54.8 gm - 6.9gm

= 47.9 gm

Hence, he need 47.9gm butter.

y = -2x + 3

in the equation y = mx + b, the m represents the slope and b represents the y-intercept

remember that slope is rise over run:

   starting from the point (1, 1) you rise 2 up and go over left 1 to reach the second point shown (0, 3).

   add a negative sign to show the negative downward slope, and the m in the equation would be -2

the y-intercept is just where the line hits the y-axis, or when the x in the ordered pair is 0. In this graph, one of the points given is (0, 3) so 3 is the y intercept

just plug all that into y = mx + b

m, the slope, is -2 and b, the y- intercept, is 3.

y = -2x + 3 is your answer

Answer:

x = 5

y = -4/3

Step-by-step explanation:

Solve by elimination by adding the two equations together:

2x + 3y = 6

x - 3y = 9

3y and -3y will cancel out. Then, solve for x:

3x = 15

x = 5

Plug in 5 as x into one of the equations, then solve for x:

x - 3y = 9

5 - 3y = 9

-3y = 4

y = -4/3

So, the answer is x = 5 and y = -4/3

Answer:

x = 11

Step-by-step explanation:

The given angles are corresponding angles and are congruent, then

12x - 9 = 10x + 13 ( subtract 10x from both sides )

2x - 9 = 13 ( add 9 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

median: 31.5, mode: 46.

Answer:

34 :46

Step-by-step explanation:

Answer:

Press the crown button

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

Answer:

95% off

Step-by-step explanation:

because the percent u times by the actual price is the percent u have off

Answer:250

Step-by-step explanation:

This prism is made up of 4 rectangles and 2 trapezoids.

Find the surface area:

Hence, the total surface area is 226 units.

The bases are the trapezoids on the top and bottom og the prism. So, just subtract.

226 - 50 = 176 units is the lateral surface area.

Answer:

14 is the answer to your question

Step-by-step explanation:

Answer:

Step-by-step explanation:

p, c, a are the ounces of peanuts, cashews, and almonds, respectively.

“There are three times as many ounces of peanuts as of cashews.”

p = 3c

“There are five more ounces of almonds than cashews.”

a = c+5

“The total weight is 20 ounces”

p + c + a = 20

Substitution

(3c) + c + (c+5) = 20

c = 3

p = 3c = 9

Nine ounces of peanuts.

Answer:

Ds/dt  = 1,25 in/minute

Step-by-step explanation:

s   is side of the cube

V(c) = s³

Differentiation on both sides of the equation with respect to time.

DV(c) / dt  = 2*s* Ds/dt          (1)

In that equation:

s  = 2

DV(c) /dt  = 5

By subtitution in equation (1)

5  = 2*s*Ds/dt

2*2*Ds/dt   = 5  

Ds/dt   = 5/4      Ds/dt  = 1,25 in/minute

The rate of change of the side length of the cube with respect to time, in inches per minute, at the moment when S = 2 inches is [tex]\dfrac{5}{12} \: \rm in^3/min[/tex]

Suppose that a function is defined as;

[tex]y = f(x)[/tex]

Then, suppose that we want to know the instantaneous rate of the growth of the function with respect to the change in x, then its instantaneous rate is given as:

[tex]\dfrac{dy}{dx} = \dfrac{d(f(x))}{dx}[/tex]

Let the rate of change of volume V with respect to time t is given by:

[tex]\dfrac{dV}{dt}[/tex]

And let the rate of change of volume S with respect to time t is given by:

[tex]\dfrac{dS}{dt}[/tex]

The relation between V and S is [tex]V = S^3[/tex]. Using this value, and the chain rule of differentiation, we get:

[tex]\dfrac{dV}{dt} = \dfrac{dS^3}{dt} = 3S^2\dfrac{dS}{dt} = 3S^2\dfrac{dS}{dt}\\\\\dfrac{dS}{dt} = \dfrac{1}{3S^2} \dfrac{dV}{dt}[/tex]

At S = 2, we are given that:  [tex]\dfrac{dV}{dt} = 5 \: \rm in^3/min[/tex]

Putting these values in the equation for rate of S, we get:

[tex]\dfrac{dS}{dt} = \dfrac{1}{3S^2} \dfrac{dV}{dt}\\\\\dfrac{dS}{dt} = \dfrac{1}{3(2)^2}\times 5 = \dfrac{5}{12} \: \rm in^3/min[/tex]

Thus, the rate of change of the side length of the cube with respect to time, in inches per minute, at the moment when S = 2 inches is [tex]\dfrac{5}{12} \: \rm in^3/min[/tex]

Learn more about instantaneous rate of change here:

https://brainly.com/question/4746888

Answer:

Circumference = pi x diameter

220 = pi x

220/3.14 = 70.06 = 70.1

Hope that answers your question

(Attention: the top answer is only valid if the question asks you to use 3.14 as pi, if the question tells you to use the digit Π, then the answer is 70.0)

Step-by-step explanation:

Answer:

Number of hours she worked so far = 15 hours

Step-by-step explanation:

Total hours scheduled to work this week = 20 hours

Percentage of Hours worked so far = 75%

How many hours has she worked so far this week?

Number of hours she worked so far = 75% of 20 hours

= 75/100 * 20

= 0.75 * 20

= 15

Number of hours she worked so far = 15 hours

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if there was a verticle line, it can pass it

Answer:

g(x) = 3x2

g(x) = 16x

g(x) = 19x

Explanation:

Assuming that you're referring to f(x) = (13)2x, without much context, I'm going to assume that any of the ax + b, are going to be wrong. The the process of elimination, the only ones left are just x and a coefficient.

Hope that helps!

Answer:

12^5

Step-by-step explanation:

36^5=3^5×x^5

36÷3=12

Answer:

156.25

Step-by-step explanation:

8x2 (2 years) = 16. 2500 / 16 = 156.25

Answer:

The total cost of the bananas

Step-by-step explanation:

Answer:

y=4x-14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-2)/(6-4)

m=8/2

m=4

y-y1=m(x-x1)

y-2=4(x-4)

y=4x-16+2

y=4x-14

Step-by-step explanation:

By question ,

=> cot∅ = 2/11

=> cot∅ = 2x/11x = b/p

Pyhthagoras Theorem :-

=> h² = (2x)² + (11x)²

=> h² = 4x² + 121x²

=> h² = 125x²

=> h = √ 25 × 5 x

=> h = 5√5 x

Answer:

Step-by-step explanation:

a:b = 8:5

a = 8x, b= 5x

a+b = 91

13x = 91

x = 7

a=8x = 56

b = 5x = 35

The larger number is 56

Answer:

It should be PT and NO

Hope this helps!

Answer:

I can help you with this, i just need the actual questions.

Step-by-step explanation:

4 32 is the answer hope this helps