The length of a planet's orbit around a star is approximately 12,450,000 km. It takes the planet about 560 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf?

Answer:

She practiced for 28 hours.

Step-by-step explanation:

x = 16 - Filipe's hours

y =? - Bianca's hours

Filipe practiced 12 hours less than Bianca so we get the following equation:

y - 12 = x which is y - 12 = 16.

Now we solve the equation by adding 12 to the both sides:

y - 12 + 12 = 16 + 12

y + 0 = 28

y = 28.

Answer:

equation: a statement that two expressions are equal operation: a mathematical process such as addition, subtraction, multiplication, or division solution: a value of the variable in an equation or inequality that makes the equation or inequality true variable: a letter or symbol used to represent an unknown quantity

Section 1 00:00:00 TEACHER: Welcome. In this lesson, we're going to be answering the question what situations can you model with one-step equations? Let's begin. Section 2 00:00:00 TEACHER: We'll start with the goals for this lesson. We're going to be writing and solving one-step equations. And to do this, we're going to use one-step equations to solve word problems. And we're also going to be using one-step equations to solve word problems involving rational numbers. Now there's some words you're going to need to know in this lesson. 00:00:21 We have equation, operation, solution, and variable. Make sure you familiarize yourself with the definitions for these words before we continue. Section 3 00:00:00 TEACHER: We're answering the question, what situations can you model with one-step equations? Now, you already know that inverse operations like multiplication and division, they undo each other. In this lesson, you're going to learn how to use what you already know in order to learn how to solve real world problems.

Section 1 00:00:00 TEACHER: In this lesson, we're answering the question, what situations can you model with one-step equations? Now, you already know how to use inverse operations and equality properties to solve equations. In the first part of this lesson, we're going to learn how to solve real world problems by writing and solving one-step equations. Section 2 00:00:00 TEACHER: Let's take a look at equations and word problems. Now, there are some steps that you can use in order to be able to write and solve a one-step equation involving a word problem. The first step is to identify the variable. We need to find out what is unknown in the problem and then let our variable represent that unknown. Next, we identify the operation, whether we're using 00:00:21 addition, subtraction, multiplication, or division. And we can do that by looking at key words in our scenario. Then we can write the equation. Once we have an equation, then we can solve it. And we can solve that expressing it as an equation, like an x equals 5, or even model that value on a number line. We can then check the solution. 00:00:43 We want to check back with the original problem to see if that answer make sense. Let's go ahead and take a look at this scenario right here. And we're going to identify what the equation would be for this scenario. Now, the total cost of 3 tickets to a play was $42. What was the cost of each ticket? Notice the question. 00:01:02 What was the cost of each ticket? That's unknown. I don't know what the cost is yet. So in identifying my variable, we're going to identify that unknown. We're going to let c equal the cost of 1 ticket because that is unknown at this time. Well, now that we've done that, we've 00:01:22 completed step one. So now let's go ahead and see what we can do to write the equation. But we need to identify the operation. Well, knowing the variable, let's go ahead and go back to the clues that we were given. The total cost of 3 tickets to a play was $42. Now, here in my table, I have different words in a situation 00:01:42 that would describe what operation I'm using. If I see words like increasing, I know that means addition. Difference means subtraction. Finding part of a total means multiplication. And that's what we're looking at in this scenario, the total cost of 3 tickets to a play. We're finding part of a total. 00:02:00 Let's look at the last thing in the table-- sharing or grouping. That would tell us we were using a division problem. So let's go back to this multiplication. Since we're going to be finding part of a total because I'm trying to find out the cost of 1 ticket, which is a part of the total cost of tickets, then I can go ahead and use the fact that 3 tickets times the cost of 1 00:02:24 ticket is equivalent to $42. So notice I have the equation 3 times c is equal to 42. And then once you have your equation, you would be able to move to the next step in solving that equation.

Step-by-step explanation:

Answer:

In this question there is a change of two things

Answer:

A

Step-by-step explanation:

If you subtract 150, from 190, you will get 40, therefore the change in y.

Answer:

120

Step-by-step explanation:

90→75%

X→100%

⇒X=(90×100)÷75=120

Before the price reduction, the cost was 120 dollar.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that shop advertises 25% off its prices in a sale a dress is 90% .

Here 90 percent is equivalent to 75%

Let X = 100%

So,X=(90×100)÷75

x =120

The price was 120 dollar.

Learn more about multiplications;

https://brainly.com/question/14059007

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Answer:

0

Step-by-step explanation:

Let's use the equation:

y2 - y1/x2-x1

if we name the values and solve accordingly, we get:

-7-(-7)/-24-(-6)

0/-18

Therefore the slope is 0.

To verify, we know that the y coordinate is the same for both, meaning that the line does not slant.

Hope this helps!!

xx gloriouspurpose xx

Answer:

g=number of girls in the class b=number of boy in the class

g+b=28

g=11+b

Answer: $4.92

Step-by-step explanation: If Sam had 4 candy bars and they cost $1.23, you multiply 4 by 1.23 to get $4.92—The total amount that Sam spent

Hope this helps:)

Answer:

4.92

Step-by-step explanation:

you would multiply 4 by 1.23 and you would get your answer.

Answer:

21u-16v+18w

Step-by-step explanation:

(7u-4v+4w) 14u-12v+14w

21u-16v+18w

Answer:

= 21u−16v+18w

Step-by-step explanation:

Let's simplify step-by-step.

7u−4v+4w−2(−7u+6v−7w)

Distribute:

=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)

=7u+−4v+4w+14u+−12v+14w

Combine Like Terms:

=7u+−4v+4w+14u+−12v+14w

=(7u+14u)+(−4v+−12v)+(4w+14w)

=21u+−16v+18w

Answer:

=21u−16v+18w

Answer:

x=(π+√π)/1-π

or x=(π-√π)/1-π

Step-by-step explanation:

since it is a square all sides are equal

Area of square=x*x=x^2

Area of a circle=πr^2

A=π(x-1)^2

two areas are equal

x^2=π(x^2-2x_1)

x^2=πx^2-2πx-π  

x^2-πx^2-2πx-π=0

x^2(1-π)-2πx-π=0  

using quadratic formula with a=1-π , b=-2π and c=-π

equation of the form ax^2+bx+c=0 by using the quadratic formula:

x=(−b±√b2−4ac)/2a

x=(π+√π)/1-π

or x=(π-√π)/1-π

Answer:

all positive real numbers and 0

Step-by-step explanation:

The function has a square root in the x value, so this function can't have negative values, because a negative value of x would give a complex number for f(x), and positive values of x gives positive values of f(x).

The function f(x) can be zero, if the value of x is zero:

[tex]f(0) = \sqrt{0} /2 = 0/2 = 0[/tex]

So the function f(x) can only have positive values and the value 0.

Correct option: "all positive real numbers and 0"

Answer:

10.6 =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + 8^2 = c^2

49+ 64 = c^2

113 = c^2

Taking the square root of each side

sqrt(113) = sqrt(c^2)

10.63014581=c

To the nearest tenth

10.6 =c

Answer:

The length of C is 10.6

Hope this help!

Answer:

17

Step-by-step explanation:

Mission Information :

This question is incomplete this line is missing in the question " Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble"

Now coming to the solution ,

Given :

Red marbles=3

blue marbles=5

green marbles=2

yellow Marbles=8

Total number of outcomes can be determined by

=Red marbles + blue marbles + green marbles + yellow Marbles

[tex]= 3\ +\ 5+2 +8=18[/tex]

As mention in the given question the Rin is pulling the 1 marble ,Now Total number of outcomes

[tex]=18-1\\=17[/tex]

Therefore 17 is the correct answer

My Answer:

17 is the correct answer, so letter C.

Red marbles=3

blue marbles=5

green marbles=2

yellow Marbles=8

Answer:

1800 (packages )muffins

Step-by-step explanation:

360  muffins         x muffins

--------                 =    --------

12 min                       60 min

Answer:

1800 maybe

Step-by-step explanation:

in 12 minutes can wrap 360

in 1 hr have 60 minutes

60/12=5

than 360*5 = 1800

Answer: C. [tex] (2, \sqrt{5}) [/tex]

Step-by-step explanation:

The x coordinate is 2, which is 2 units right of (0, 0)

- √5 is the y coordinate

- (√5) = - (2.23) = -2.23

The y coordinate is -2.23 or 2.23 down from (0, 0)

The rest of the ordered pairs are slightly off the edge of the circle.

Answer:

The answers are options A and E

x² + 4x-9 = 5x + 3

Group like terms

x² + 4x - 5x - 9 - 3 = 0

x² - x - 12 = 0

Using factorization method

(x + 3)( x - 4) = 0

x = - 3 x = 4

Hope this helps

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Data provided in the question

There is a total group of 45 students

Art + biology = 5

8 study biology but not Art

Neither subject studied = 9

Based on the above information, the probability of student that studies

art and biology is

Since there is a group of 45 students out of which 5 study both art and biology

So, the ratio is

4: 5

Now divide both sides by 5

So, now the ratio is

9:1

Therefore it means the probability is [tex]\frac{1}{9}[/tex]

Answer:

[tex]y = -2x - 8\\OR\\2x+y+8=0[/tex]

Step-by-step explanation:

Given that there are 2 points

[tex]A(-8,8)[/tex] and

[tex]B(1,-10)[/tex]

So, the coordinates are:

[tex]x_2 = 1\\x_1 = -8\\y_2 = -10\\y_1 = 8[/tex]

Equation of a line is given as:

[tex]y =mx+c[/tex]

where 'm' is the slope of the line, formula for 'm' is given as:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x,y)[/tex] are the points that satisfy the equation of the line.

[tex]c[/tex] is the [tex]y -[/tex] intercept.

Calculating the value of m using the given coordinates:

[tex]m=\dfrac{-10-8}{1-(-8)}\\\Rightarrow m=\dfrac{-18}{9} = -2[/tex]

So, the equation of line becomes:

[tex]y =-2x+c[/tex]

Now, putting the coordinates of point [tex]A(-8,8)[/tex]

[tex]8 =-2\times (-8)+c\\\Rightarrow 8 = 16+c\\\Rightarrow c = -8[/tex]

Please refer to the graph of given equation of line.

The equation of line is:

[tex]y =-2x+-8\\OR\\2x+y+8=0[/tex]

Answer: No solution

Step-by-step explanation:

This system of equation has no solution because...

-3x+4y=12

1/4x-1/3y=1

[tex]-3x+4y-4y=12-4y[/tex]

[tex]-3x=12-4y[/tex]

[tex]\frac{-3x}{-3}=\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]\frac{12}{-3}-\frac{4y}{-3}[/tex]

[tex]x=-\frac{12-4y}{3}[/tex]

substitute

[tex]\frac{1}{4}\left(-\frac{12-4y}{3}\right)-\frac{1}{3}y=1[/tex]

[tex]-1=1[/tex]

-1=1 is false so therefore this system has no solution

Answer:

13

Step-by-step explanation:

From the same external point, the tangent segments to a circle are equal.

NP = PQ

x + 6 = 2x - 7

6 + 7 = 2x - x

13 = x

x = 13

Answer:

x=13

Step-by-step explanation:

the two lines are equal

x+6=2x-7

6+7=2x-x ( isolate x )

13=x

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-7x+2 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

There are a lot of polynomials which have 2 and 1/3 as zeroes,

I can show you one below

[tex]3(x-2)(x-\dfrac{1}{3})=(x-2)(3x-1)=3x^2-x-6x+2=3x^2-7x+2[/tex]

hope this helps

Answer:

0.03 feet

Step-by-step explanation:

d = 0.03r² + r

When d = 0: 0.03r² + r = 0

r(0.03r + 1) = 0

∴ r = 0

When r = 0: d = 0.03 feet

Answer:

C

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

total percent 100%

each percentage is 10%

Answer:

17%

Step-by-step explanation:

The total number of students is 30

The number of seniors is 5  (2+3)

P( senior) = seniors / total

                = 5/30

                   = 1/6

                     =.166666666

                      16.6666666%

To the nearest whole percent

                       17%

Answer:

the answer is exactly one solution

Answer:

Step-by-step explanation:

No

Answer:

a b. c=19 it is equal to 19

Answer:

20.3854

Step-by-step explanation:

Answer:

m

Step-by-step explanation:

m x m x m x m x m = [tex]m^{5}[/tex]

So the base would be "m", the exponent is "5".

Answer: A. m>5

Step-by-step explanation:

Answer:

its c.

rotate 90 ccw then mirror from y-axis

Step-by-step explanation:

Answer:

arc IF ≅ arc IT

Step-by-step explanation:

they have been slpit by both the diameter and a chord

they are the only true given congruent statements.

Answer:

They are congruent by AAS.

Step-by-step explanation:

Side BD is common to both  triangles and 2 pairs of corresponding angles are congruent.

Answer:

200

Step-by-step explanation:

Given the first term 39 and the last term 11 then the sum of the 8 layers can be calculated as

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( f + l) ← f is the bottom layer anf f the top layer, thus

[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] (39 + 11) = 4 × 50 = 200

Answer:

[tex] \sqrt{ {2}^{5} } [/tex]

Step-by-step explanation:

[tex]\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } [/tex]