A map scale is 1 cm =500 km the scale ratio is 1 to ____

Answer:

Asha has 3x books

Step-by-step explanation:

Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  [tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

9514 1404 393

Answer:

  (1, 55), (4, 220), (5, 275)

  times 55

Step-by-step explanation:

You know from life experience that the cost of tickets is often proportional to the number of tickets*. Here, you can check that by dividing the cost by the number of tickets for each of the table entries where both are given:

  110/2 = 55 = 165/3

This tells you the cost of 1 ticket is 55. It also tells you the cost of 4 tickets will be 4×55 = 220, and the cost of 5 tickets will be 5×55 = 275.

In short, the cost in dollars is the number of tickets times 55.

_____

* Your life experience will also tell you that sometimes there is a "processing fee" that makes the relation non-proportional. No such fee is evident here.

__

Alternate solution

Since the relation is proportional, you can find the cost of 1 ticket by dividing the cost of 2 tickets by 2: 110/2 = 55. You can find the cost of 4 tickets by doubling the cost of 2 tickets: 2×110 = 220. You can also find the cost of 5 tickets by adding the costs of 2 and 3 tickets: 110 +165 = 275.

Answer:

x>36

Step-by-step explanation:

Hope this helps and good luck

Answer:

5/15

(1/3 if u want it simplified)

(about 33.3 % if you want percentage)

Step-by-step explanation:

6 + 4 + 5 = 15 total marbles

There are 5 blue marbles.

Answer:

-21

Step-by-step explanation:

GIven data

We are given the equation of a line as

Y=-2x-21

let us compare this with the general equation of a line

y=mx+c

from the comparison, we can see that the intercept is -21

Therefore, the intercept is -21

Answer:

A. 78

Step-by-step explanation:

7 x 4 is the bottom and the bottom is the same as the top so I got 28 x 2 which is 56. 4 x 1 is one side. The other side is the same so I got 4 x 2 which is 8. 1 x 7 is the front and back. I got 7 x 2 is 14. i wrote 56 + 14 + 8 and got 78

hope this helps :)

Step-by-step explanation:

Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.

So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.

Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°

Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,

With this understanding, let us now analyse the individual statements.

Step 3: Analyse Statement 1

“b = 2a”

Per conceptual understanding, the sum of all the angles of a triangle is 180.

Hence, a + b + c = 180a + 2a + c = 1803a + c = 180

However, from the above equation, we can get many values of a and c.

Hence, statement 1 is not sufficient to answer the question.

Step 4: Analyse Statement 2

“c = 3a”

a + b + c = 180a + b + 3a = 180b + 4a = 180

However, from the above equation, we can get many values of a and b.

Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)

From statement 1:

3a + c = 180

From statement 2:

c = 3a

Combining both the statements:

3a + 3a = 180.

From the above equation, we can find the value of a. Then we can find c.

Since we could find the answer by combining both the statements, option C is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

12π

is the correct answer

Answer: 2.25

Step-by-step explanation: This is because 2.25*40 is 90

Hope this helps and brainliest would be appreciated

Answer:

20

Step-by-step explanation:

add 3ft+3ft+11ft+3ft and that's your answer

Answer:

She can invite 66 people so 66 x 5 = $330 + 120 = $450

Step-by-step explanation:

Step-by-step explanation:

1)

10(3) + 2(1) = 32/4 = 8 mph

2)

[3(1.5) + 0.5x]/2 = 4

(4.5 + 0.5x) = 8

0.5x = 3.5

x = 7mph

Answer:

x = 14

x + 23 < 37 ( move constant to right-hand side and change its sign)

x<37-23 ( subtract numbers)

x < 14

Answer:

48

Step-by-step explanation: surface area = 2 (lw + hl + hw)

2 ( 2 x2 + 5x2 + 5x2)

2 (4+10+10)

2(24)

48 cm

Step-by-step explanation:

Answer:

          WHAT THE OTHER PERSON SAID

Step-by-step explanation:

Answer:

The system is of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

Where g is the amount of general tickets and r is the amount of reserve tickets.

35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Let general tickets be represented by g and reserved tickets be represented by r.

Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:

[tex]10g+15r=725[/tex]

And a total of 60 tickets were sold. Hence:

[tex]g+r=60[/tex]

Our system of equations is:

[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]

We can solve by substitution. First, divide both sides of the first equation by 5:

[tex]2g+3r=145[/tex]

Next, we can subtract a variable (r in this case) from the second equation:

[tex]g=60-r[/tex]

Substitute:

[tex]2(60-r)+3r=145[/tex]

Distribute:

[tex]120-2r+3r=145[/tex]

Simplify:

[tex]120+r=145[/tex]

Subtract:

[tex]r=25[/tex]

Using the previous equation:

[tex]g=60-r[/tex]

Substitute and evaluate:

[tex]g=60-(25)=35[/tex]

So, 35 general tickets and 25 reserve tickets were sold.

Answer:

There is only one image

Step-by-step explanation:

Answer:

Equation of parabola:  8*(y - 2) = (x - 3)^2

or

y = (1/8)*(x - 3)^2 + 2

Step-by-step explanation:

focus at (3,4) and its directrix y = 0.

Focus equation:  (h, k + c) = (3, 4)

Directrix equation  y =  k - c = 0

so  h = 3,   k + c = 4,   k - c = 0

Solve  the system :  k + c = 4 and k - c = 0

add the equations together:     k + c + k - c = 4 + 0

2k = 4

k = 2

so   k + c = 4,    2 + c = 4,   c = 2

4c (y - k) = (x -  h)^2

4*2 *(y - 2) = (x - 3)^2

8*(y - 2) = (x - 3)^2

Answer:

A) x = -3

Step-by-step explanation:

|3(-3) + 9| = 0

|-9 + 9| = 0

|0| = 0

0 = 0

Answer:

A)x=−3

Step-by-step explanation:

Step 1: Add -6 to both sides.

|3x+9|+6+−6=6+−6

|3x+9|=0

Step 2: Solve Absolute Value.

|3x+9|=0

We know 3x+9=0

3x+9=0(Possibility 1)

3x+9−9=0−9(Subtract 9 from both sides)

3x=−9

3x /3 = −9 /3

(Divide both sides by 3)

x=−3

Answer:

852 students walking to school

Step-by-step explanation:

Lets start with a simple example so you can get it

if 60% of 100 students walk to school that means

60 students walk to school... right??

so lets simplify it more that means you have multiplied 100 (students) by 60%

or [tex]\frac{60}{100}[/tex]  (note: you can say that 60% is equal to [tex]\frac{60}{100}[/tex] )

so the problem told 60% of 1420 students walk to school that means we should

do this:     [tex]1420*\frac{60}{100} = 852[/tex]

Answer:

852 walk to school

Step-by-step explanation:

i got this because i divided the 1420 into 10 which became a 142, multiply by 6 and you get 852

also you could

it is really simple also, all you have to do is multiply the number of student, S times the precent of students who walk, so s times w, which is 60 precent turend into .6 precent so 1420 x .6

Answer:

y = -x +2

Step-by-step explanation:

First let's find the slope.

(-1,3) and (4,-2)

3 - -2/ -1 - 4 = 5/-5 = -1

Slope = -1

Now let's use slope intercept form:

y1-y2=m(x1-x2)

Let's plug in our slope for m.

y1-y2= -1 (x1-x2)

And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)

y1+2 = -1(x1- 4)

y= -x + 4 -2

y = -x +2

x > 3

(adding extra characters so its over 20)

Answer:

i

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

use the pythagorean theorem to figure out what the hypotenuse is

3.5^2+3.5^2=x^2

12.25+12.25=x^2

25=x^2

x=5

now that you know the hypotenuse, you can find the perimeter by adding up all the sides

3.5+3.5+5=12