Which of the following equations is equivalent to 6(3p – 2) = 20?
18p – 2 = 20
18p – 12 = 20
9p – 8 = 20
9p – 4 = 20

Answer:

Answer:

a

Step-by-step explanation:

The perpendicular distance from the y- axis is the value of the x- coordinate, so

perpendicular distance is 3 units

Answer:

15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

5a - 10b = 45

b = 3

Step 2: Solve for a

Answer:

a=3

Step-by-step explanation:

5a-10b=45

when b=3

5a-10×3=45

5a-30=45

collect like terms

5a=45-30

5a=15

a=3

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

Answer:

D

Step-by-step explanation:

Look for the intersection point of the two graphs

Another way:

You can just substitute each pair in both equations and u will find that d is the correct answer

====================================

Explanation:

Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.

See the diagram below.

The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14

This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.

Answer:

The correct answer is 14 liters

Step-by-step explanation:

When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer

Let me know if I did anything wrong. :)

Answer:

the formula for the volume of a square pyramid is V=a^2*h/3

so if we just put in the data

12^2*10/3

144*10/3

480

so the answer is B

Hope This Helps!!!

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

[tex]$^9C_4$[/tex]

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

[tex]$^9C_4=\frac{9!}{4!(9-4)!}$[/tex]

      [tex]$=\frac{9!}{5! \ 4!}$[/tex]

     [tex]$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$[/tex]

    = 126

Answer:

all real numbers

Step-by-step explanation:

got it right

Answer:

A

Step-by-step explanation:

it is all real numbers

brainiest please

Answer:

the answer is true

Step-by-step explanation:

the ratio is less than 1

Answer:

[tex]A'(t) = rA(t)[/tex]

Step-by-step explanation:

Given

[tex]A(t) \to[/tex] Amount

Required

The differential equation

The equation for the amount is:

[tex]A(t) = A_0 * e^{rt}[/tex]

Where:

[tex]A_0 \to[/tex] initial amount

[tex]r \to[/tex] rate

[tex]t \to[/tex] time

Differentiate[tex]A(t) = A_0 * e^{rt}[/tex]

[tex]A'(t) = A_0 * r * e^{rt}[/tex]

So, we have:

[tex]A'(t) = rA_0 * e^{rt}[/tex]

From the question, we have: [tex]A(t) = A_0 * e^{rt}[/tex]

So, the equation becomes

[tex]A'(t) = rA(t)[/tex]

Respuesta:

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 1,52 m²

Explicación paso a paso:

Dado que el área del rectángulo = Largo * Ancho

Convertir cm a m

Los 36cm = los 0.36m

Los 40cm = los 0.4m

Sustituir;

Área del rectángulo = 0.36 * 0.4

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 2 (L + W)

Perímetro del rectángulo = 2 (0.36 + 0.4)

Perímetro del rectángulo = 2 (0,76)

Perímetro del rectángulo = 1,52 m²

Answer:

Step-by-step explanation:

Using the Law of Sines, our proportion would be

[tex]\frac{sin24}{a}= \frac{sin55}{3}[/tex] and cross multiply to get

3sin24 = asin55 and solve for a:

[tex]a=\frac{3sin24}{sin55}[/tex] so

a = 1.49, the first choice.

Answer:

im pretty sure its (D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Geometric mean of two digit = √ab

Answer 1;

Geometric mean of [8,18] = √(8)(18)

Geometric mean of [8,18] = √144

Geometric mean of [8,18] = 12

Answer 2;

Geometric mean of [3,7] = √(3)(7)

Geometric mean of [3,7] = √21

Geometric mean of [3,7] = 4.58

Answer 3;

Geometric mean of [5,8] = √(5)(8)

Geometric mean of [5,8] = √40

Geometric mean of [5,8] = 6.32

Answer 4;

Geometric mean of [8,4] = √(8)(4)

Geometric mean of [8,4] = √32

Geometric mean of [8,4] = 5.65

Answer 5;

Geometric mean of [6,3] = √(3)(6)

Geometric mean of [6,3] = √18

Geometric mean of [6,3] = 4.24

Answer 6;

Geometric mean of [2,8] = √(2)(8)

Geometric mean of [2,8] = √16

Geometric mean of [2,8] = 4

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

Answer:

Shorter

Step-by-step explanation:

When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40

At α = 0.05 ;

Tcritical, df = 40 = 2.02

Zcritical = 1.96

Answer:

The cosine of angle P = opposite / adjacent = 39 / 80

Step-by-step explanation:

Answer:

[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]

Step-by-step explanation:

[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]

Answer: 68

Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.

Answer:

Step-by-step explanation:

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Ratio of ages at present = 3:4

Age of Raju = 3x

Age of Ravi = 4x

Age after four years:

Raju's age  = 3x + 4

Ravi's age = 4x + 4

Ratio of ages after four year = 4 : 5

3x +4 : 4x + 4 = 4 : 5

(4x + 4)*4 = (3x + 4)*5

16x + 16 = 15x + 20  

Subtract 16 from both sides

16x  = 15x + 20 - 16

16x = 15x + 4

Subtract 15x from both sides

16x - 15x = 4

 x = 4

Age of Raju = 3x = 3*4 = 12 years

Age of Ravi = 4x = 4*4 = 16 years

Answer:6

Step-by-step explanation:

sorry if im wrong

Answer:

plotting x = 2

see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.

This is the graph of x = 2

plotting y = -4

see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.

This is the graph of y = -4

we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.

Answer:

27 degrees

Step-by-step explanation:

First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.

We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees

Answer:

[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]

Step-by-step explanation:

By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.

In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].

Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:

[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]

Answer:

10 kilometer/hour

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 kilometer/hour

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 kilometer/hour

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 kilometer/hour - 120 kilometer/hour

= 10 kilometer/hour

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = [tex]\frac{5y}{y-2}[/tex]

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Look into the image. I hope it helps❤

Answer:

factors are 1,2,3,4,6,8,12,24

Answer:

Following are the solution to the given point:

Step-by-step explanation:

The formulated null hypothesis would be that the reported average do not differ significantly

[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]