Find the slope of the line. m=

Answer:

Step-by-step explanation:

The volume of a sphere is defined to be:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Plug in the values for both planets. The radii of the planets was already given:

[tex]V_e=\frac{4}{3} \pi (6378.1)^3[/tex]

[tex]V_e=1.1*10^1^2kg^3[/tex]

[tex]V_m=\frac{4}{3} \pi (3390.0)^3[/tex]

[tex]V_m=1.6*10^1^1kg^3[/tex]

Earth is this many times larger than Mars:

[tex]\frac{V_e}{V_m} =\frac{1.1*10^1^2}{1.6*10^1^1} =6.9[/tex]

Answer:

50c=10c+200

Step-by-step explanation:

Two different payment plans, the equation which can solve for the number of classes that equates to both plans is 200 + 10c = 50c.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To solve for the number of classes, c, for which the cost of Plan A equals Plan B, you can use the equation: 200 + 10c = 50c.

In this equation, the left-hand side represents the cost of Plan B, and the right-hand side represents the cost of Plan A. The variable, c, represents the number of classes that Aaliyah and Phildres attend.

To solve for c, you can use algebraic techniques to isolate the variable on one side of the equation. For example, you could subtract 10c from both sides of the equation to obtain: 200 = 40c. Then, you could divide both sides of the equation by 40 to obtain: 5 = c.

Therefore, the number of classes, c, for which the cost of Plan A equals Plan B is 5.

Learn more about the equations here:

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The question seems to be incomplete the correct question would be:

Aaliyah and Phildres are joining a gym that offers two different payment plans. Aaliyah chooses Plan A, and Phildres chooses Plan B.

Plan A

No yearty fee

Plan B

$200 yearly fee

$50 for each class

$10 for each class

Which equation can be used to solve for the number of classes, c, for which the cost of Plan A equals Plan B?

Answer:
the lines

Step-by-step explanation:

first you have to draw the lines on a double number line diagram

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is [tex]b*h/2[/tex].

Hope this helps :)

Answer:
118 cm²

Step-by-step explanation:

Area of rectangle = l x b
= 7 x 5 = 35cm²
=4 x 7 = 28cm²
Add the area of the three rectangles = 35+35+28
=98cm²
Area of triangle = 1/2 x b x h
= 1/2 x 4 x 5
= 10 + 10 = 20
Therefore, area of the prism = 118cm²

Answer:

6.5 years

Step-by-step explanation:

Simple interest formula:  [tex]A=P(1+rt)[/tex]

where:

Given:

[tex]\implies 8962.5=7500(1+0.03t)[/tex]

[tex]\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)[/tex]

[tex]\implies t=6.5[/tex]

Therefore, she borrowed the money for 6.5 years

Answer:

Step-by-step explanation:

mP=5x-14

mQ=x-5

mR=2x-9

we know that all the angles in a triangle= 180

that means (5x-14)+(x-5)+(2x-9)=180

5x-14+x-5+2x-9=180  we add the variables and the numbers

8x=180+28

8x=108

x=26

mP=130-14=116

mQ=26-5=21

mR=43

To know the number of boxes that can fit divide the volume of the shipping container by the volume of one cereal box.

To do this use the formula;

Since both the container and the boxes likely have a defined rectangular shape you can use this formula:

For example:

Dimensions of the container:

120 cm x 100 cm x 100 cm = 1200000 cubic centimeters

Dimensions of the boxes:

30 cm x 30 cm x 10 cm = 9000 cubic centimeters.

1200000 cc / 9000 cc = 133 boxes.

Note: This question is incomplete because the diagram is not provided; due to this, I answered it based on general knowledge.

Learn more about boxes in: https://brainly.com/question/2511671

Answer:

A = 280 ft²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle.

area of rectangle = 20 × 10 = 200 ft²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is base and h the height )

b = 20 and h = 18 - 10 = 8 , then

area = [tex]\frac{1}{2}[/tex] × 20 × 8 = 10 × 8 = 80 ft²

total area A = 200 + 80 = 280 ft²

Answer:

Y=6X

Step-by-step explanation:

Step by step explanation is on the pic above

Answer:

y = 6x

Step-by-step explanation:

We can find the relationship by looking at each value for X and Y and finding which number makes the equation true

The first equations says Y = 3 when X = 0.5, Lets put this into an equation

[tex]3= ?*0.5[/tex]

The only number that would make this equation true is 6

[tex]3=0.5*6[/tex]

Lets try another, The Third equation says that Y = 9 when X = 1.5

[tex]9 = 1.5*?[/tex]

Again, the only number that works is 6

[tex]9=1.5*6[/tex]

Hence the equation for this table is [tex]Y=6x[/tex]

Answer:

5.94587615×10^9

Step-by-step explanation:

You just...put it in a calculator?

Answer:

Hypotenuse= 180.7 cm

Step-by-step explanation:

Using Pythagoras' theorem:

a^2+b^2=c^2                     (let c= Hypotenuse "H")

(136)^2 + (119)^2 =  H^2

18496+14161 =H^2

H^2= 32657

Taking square root on both sides

[tex]\sqrt{H}[/tex]= [tex]\sqrt{32657}[/tex]

H=180.7

Answer:

the answer is 135

Step-by-step explanation:

........

Answer:

7/10 = x/360

Solve for x and you will get 252 degrees. Now to convert it to radians,

you do 252 * pi/180(1 pi = 180 degrees) = 1.4pi. This means 7pi/5

Answer:

1090 yd squared

Step-by-step explanation:

First, let's find the area of the base

16 x 17 = 272

Now let's find the triangular face

1/2 x 16 x 15

8 x 15 = 120

Since there are 2, we multiply 120 by 2

240

Now the rectangular face

17 x 17 = 289

Since there are 2, we multiply 289 by 2

289 x 2 = 578

Now we add them all together

578 + 240 + 272 = 1090

1090 yd squared

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

Answer:$58.80

Step-by-step explanation:

{[(3 x 4) + (2 x 3)/2] - (0.4 x 0.75)} x $4 = $58.80

Answer:

2 + x > 8

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

The solution of a system of equations is where the two lines intersect

Looking at the gray, the two lines never intersect therefore there is no solution.

Answer: 3x -2y -2x 1y

Step-by-step explanation: The lower line is at 3x -2y

                                              The upper line is at -2x 1y  

answer is the 3rd one np

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

Answer:

x=5

Step-by-step explanation:

Answer:

p*106.5/100

Step-by-step explanation:

The number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Since Alice, Andrew, and six other students are to be divided into two teams of four people, and we require the number of ways to form the teams so that Alice and Andrew are on opposite teams, this is a combination question since order doesn't matter.

For the first team of 4, if Alice takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is n = 1 × ³C₃

= 1 × 1

= 1 way

Also, for the second team of 4, if Andrew takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is N = 1 × ³C₃

= 1 × 1

= 1 way

So, the number of ways teams can be formed so that Alice and Andrew are on opposite teams is N' = n + N

= 1 + 1

= 2 ways

So, the number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Learn more about combination here:

https://brainly.com/question/25821700

Answer:

Step-by-step explanation:

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in term of

x

and

y

.

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

−

4

)

2

+

0

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

4

k

=

0

Answer:

1 and 4, 2 and 3, 3 and 7, 4 and 8.