How many solutions does the following equation have?
5x+8-7x=-4x+15x+8−7x=−4x+1

Answer:

x ≈ 41

Step-by-step explanation:

All the angles in a quadrilateral add together to equal 360°

So set up the equation:

a + b + c + d = 360°

Now fill in the values we know:

x + _ + 4x + 2x - 10 + 85 = 360

7x + 75 = 360

Now subtract both sides by 75:

7x + 75 - 75 = 360 - 75

7x = 285

Divide both sides by 7:

7x / 7 = 285 / 7

x = 40.714

Round:

x = 41

Now to check our answer, substitute 41 for x in the equation:

(41) + _ + 4(41) + 2(41) - 10 + 85

(41) + 164 + 82 - 10 + 85 = 362

The answer is close to 360, so we know it is correct

Answer:

x=40 and

+_ is 5

Step-by-step explanation:

Sum of the angles of any quadrilateral is 360.

4x +2x-10 +85 +x+_ = 360 combine like terms

7x + 75 = 360 subtract 75 on each side

7x = 360-75

7x = 285 divide by 7

x = 40.71

Now plug in back into equation x = 40:

4*40+ 2*40 -10 + 85 +40 + _  = 360

missing number is +5

Step-by-step explanation:

put f(4/3)= 3(4/3)^(2) +2(4/3)-8 =0

so 3x-4 is a factor

similarly, k=35

Answer:

1024 is the smallest four digit number which is a perfect square.

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

Answer:

1024

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

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Answer:

13

Step-by-step explanation:

g(r)=25−3r

Let r=4

G(4)= 25 - 3(4)

      = 25 -12

      = 13

Answer:

13

Step-by-step explanation:

Answer:

50 cups

Step-by-step explanation:

So rewrite the ratio to be 2x : 5x : 9x

16x = 160

x = 10

5 * 10 = 50

This is only right if the 5 in the ratio is for onions.

Answer:

The graph with a y-intersect of (0, -3) and x-intercept of (12, 0)

Step-by-step explanation:

So the graph goes 1 unit up every 4 units to the right

The graph which represents the linear function y = 1/4x – 3 is A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2).

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given linear function is,

y = 1/4x – 3

Substitute x = 0.

y = 0 - 3 = -3

So the graph passes through (0, -3).

Let x = 4.

y = (1/4 × 4) - 3 = -2

So the graph passes through (4, -2).

Let x  = -4,

y = (1/4 × -4) - 3 = -4

So the graph passes through (-4, -4).

Hence the graph passes through (-4, -4), (0, -3), and (4, -2).

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The complete question is given as follows.

Which graph represents the linear function y = 1/4x – 3?

A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2).

B. A line on a graph passes through the (-4, -2), (0, -3), (4, -4).

C. A line on a graph passes through the points (0, -3), (1, 1), (2, 5).

D. A line on a graph passes through the points (-4, 2), (0, 3), (4, 4).

Answer:

(56/45)x^7

Step-by-step explanation:

28x^4            20

----------  ÷  -----------  becomes

    27          24x^3

28x^4         24x^3

----------  *  -----------   if we invert the divisor fraction and then multiply.    

    27            20

We get:           (28)(24)

                      -------------- x^7

                        (27)(20)

which reduces to (7)(24) x^7            (7)(8)x^7

                             ---------------    =    -------------  =  (56/45)x^7

                                 27(5)                  9(5)

Answer:

(56/45)x^7

Step-by-step explanation:

28x^4            20

----------  ÷  -----------  becomes

   27          24x^3

28x^4         24x^3

----------  *  -----------   if we invert the divisor fraction and then multiply.    

   27            20

We get:           (28)(24)

                     -------------- x^7

                       (27)(20)

which reduces to (7)(24) x^7            (7)(8)x^7

                            ---------------    =    -------------  =  (56/45)x^7

                                27(5)                  9(5)

Step-by-step explanation:

No of packs = 6

Cards in a pack = 9

Total cards = 9 x 6 = 54

Answer:

the square root of the number 25 is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon =  (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61  = 18.44

AB = 4.5

Step-by-step explanation:

We can cross multiply the sides in order to find the length of AB. Make sure you don't go diagonal, so you can't do 3/6. You can do 3/4 and 3/x, then match it to the same pattern.

This is the one I chose...

[tex]\frac{4}{3} =\frac{6}{x}[/tex]

Notice how I put them in the same order.

Now we can cross multiply...

[tex]4*x[/tex]

= 4x

[tex]6*3[/tex]

= 18

[tex]4x=18[/tex]

Divide by 4.

x = 4.5

The length of AB is 4.5.

Answer:

x(x + 1)(x - 1)

Step-by-step explanation:

[tex] {x}^{3} - x \\ = x( {x}^{2} - 1) \\ x(x + 1)(x - 1) \\ [/tex]

Answer:

I am sure it is because 1×$4.19+4×$6.95=$31.99. do it yourself. you will see.

Answer:

42cm²

Step-by-step explanation:

because if the perimeter of the rectangle is 28 then the length is 5, 5 - 11 = 6, the formula for finding the trapezium is to add the 2 parallel sides, half them, then times them with the length so your sum will look like this, 5+9=14, (i knew the other side was 9 as the length of AB is the same as the length of FC, which is the one of the parallel sides of the trapezium) then we do 14÷2=7, finally we times 7 by 6 which is 42cm²

Answer: c 17.9°

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

I took the test

Answer:

p = 23       and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45    and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

p = 23       and p = -22

Answer:

[tex]x^2 = 16[/tex]

[tex]x = \pm 4[/tex]

Thus the answer is (b)

The solutions to the given quadratic equation are +4 and -4. Therefore, the option B is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is x²-16=0.

Now, x²=16

x=±√16

x=±4

x=+4 or x=-4

Therefore, the option B is the correct answer.

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1. No answer ( may be due to incorrect question)

2. x = -3

y = 4

3. x= 4

y = 2

4.x = -63/40

y= -19/20

Step 1

Multiply equation 1 by the coefficient of x in equation 2

Multiply equation 2 by the coefficient of x I'm equation 1

(after completing this step you will derive equation 3 and 4 )

Step 2

Subtract equation 4 from equation 3

Step 3

Divide both sides of the equation by the coefficient of y

Step 4

substitute your value for y in equation 1 or 2

(after this you will derive the values of x)

Note : This method is for the Elimination of x

I hope it helps

Answer: A.  X = 11

Step-by-step explanation:

x - 7 = 4

11 - 7 = 4

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

hope this helps!

Answer:

1 and 1/6

Step-by-step explanation:

7 / 6 has a greater numerator so simplify to 1 whole and one sixth

Answer:

a) min = 4.4251

b) max = 8.5743

Step-by-step explanation:

Given:

Mean, u = 6.5

Standard deviation = 1

To get our values, we are to use the inverse of the standard normal table.

a) The minimum head breadth that will fit.

P(Z < z) = 1.9%

P(Z < z) = 0.019

P(Z < -2.0749) = 0.019

z = -2.0749

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = -2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (-2.0749 * 1) + 6.5

x = 4.4251

The minimum head breadth that will fit the clientele is 4.4251

b) The maximum head breadth that will fit.

P(Z > z) = 1.9%

1 - P(Z < z) = 0.019

P(Z < z) = 1 - 0.019 = 0.981

P(Z < 2.0749) = 0.981

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = 2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (2.0749 * 1) + 6.5

x = 4.4251

x = 8.5743

The maximum head breadth that will fit the clientele is 8.5743

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

Answer:

D. x= -4

Step-by-step explanation:

-8x × -4 = 32 + 4 = 36

you can subtract 4 from 36, which leaves you with -8x = 32.  you then divide 32 by -8 to (1) cancel out -8 which will leave you with x, and (2) give you your answer.  32 / -8 = -4.

x is -4

AUB means combination of elements in A and B without writing one element twice

AUB={A,B,F,G,M,T,Z}

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

The volume of the empty space in the cylinder is equal to the difference between the volume of the cylinder and the volume of water in the cylinder.

The volume of the cylinder can be calculated using the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

V = π(3 cm)^2(12 cm)

V ≈ 339.3 cubic centimeters

The volume of water in the cylinder can be calculated by multiplying the cross-sectional area of the cylinder by the height of the water:

V_water = πr^2h_water

where V_water is the volume of water and h_water is the height of the water.

Substituting the given values, we get:

V_water = π(3 cm)^2(7 cm)

V_water ≈ 197.9 cubic centimeters

Therefore, the volume of empty space in the cylinder is:

V_empty = V - V_water

V_empty ≈ 339.3 - 197.9

V_empty ≈ 141.4 cubic centimeters

So, the volume of empty space in the cylinder is approximately 141.4 cubic centimeters.