Elana gets on a horse 15 feet from the center of a
merry-go-round. She travels 288° around the circle,
then the ride stops. The merry-go-round travels of
the way around, then stops. About how far did Elana
travel? Use 3.14 for pi.


37.68
75.36
150.72
565.2

Answer:

y = [tex]-\frac{1}{3}[/tex]

[tex]2\frac{2}{3}=x[/tex]

Step-by-step explanation:

To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.

2x + y = 3

y = x - 2

First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,

y = 3 - 2x

y = x - 2

Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,

y = 3 - 2x

2y = 2x - 4

Add the equations,

3y = -1

Inverse operations,

3y = -1

/3     /3

y = [tex]-\frac{1}{3}[/tex]

Now back solve, substitute the value of (y) into the equation and solve for (x),

[tex]y=x-3\\[/tex]

Substitute,

[tex](-\frac{1}{3})=x-3[/tex]

+3

[tex]2\frac{2}{3}=x[/tex]

Answer:

Its linear

Step-by-step explanation:

the intercept is 0,0 and the it grows by 4. there is 1,4 2,8 and it goes on and on

Answer:

4.8

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

(12/10)5 = 6 weeks

Answer:

0.20

Step-by-step explanation:

total of marbles

= 6 + 4 + 3 + 2

= 15

the probability of blue

= 3/15 × 100%

= 20%

= 0.20

Answer:

-23

Step-by-step explanation:

16 x 1/4^2 - 4 x 6 = -23

Answer:

≈ 3.64 sales tax

Step-by-step explanation:

55 × 0.06625 = 3.64375

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = [tex]\pi r^{2} + \pi rl[/tex]

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

a : b = 8 : 1

Answer:

kids : teams

a : b

48 : 6

( 48 : 6 ) ÷6

8 : 1

Answer:

11

Step-by-step explanation:

Answer: The square root of 121 is 11!

Step-by-step explanation:

11x11= 121

Another example:

9x9=81

So, 9 is the square root of 81

Another example:

8x8=64

so, 8 is the square root of 64!

Answer:

1/3 gallon per hour, and it takes 3 hours to use one gallon

Step-by-step explanation:

Simplify the ratio

3-9

Which simplifies to

1-3

———————————————

Answer:

The answer is 180ft

Step-by-step explanation:

The reason the answer is 180ft is because your using area which means your are multiplying all your answers.

Answer:

15 miles an hour

Step-by-step explanation:

Answer:

2.25 packs of paper/ classroom

Step-by-step explanation:

9 packs of paper/ 4 classrooms

9/4

2.25

Answer:

8x + 24

Step-by-step explanation:

1. 8(x + 3) - Distribute

2. 8x + 24 - Answer

Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept  

y=8x+1

hhh

Step-by-step explanation:

Answer:

X=18

Step-by-step explanation:

you can find what the missing angle is by subtracting 92 from 180 since its a straight line. After putting in the missing angle you can easily solve for 2X which is 36 and then divide by 2 and get 18.

Answer:

x = 23

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

92° is an exterior angle of the triangle, then

2x + 46 = 92 ( subtract 46 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23

Answer:

surface area≈126.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064

26ft+17ft+25ft

=68ft

The perimeter is 68 ft

Answer:sorry I don’t know

Step-by-step explanation:

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Answer:

A. 26.8

Step-by-step explanation:

268/10

Answer:

Top choice, A.

Step-by-step explanation:

Count the dots

Answer:

its choice A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

Answer:

The variable is a nominal categorical variable

Step-by-step explanation:

As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.