The distance around a circular running track is 200m. Calculate the radius of the track, giving your answer to the nearest metre.

Answer:

27/2 or 13.5

Step-by-step explanation:

use PEMDAS

Divide the 18 by 2 then multiply by 3

Subtract 3 from 5 then divide the top 27 by the bottom 2

Answer:

the answer is 9

Step-by-step explanation:

18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9

Answer:

Step-by-step explanation:

Speed = 500km/h

Distance = 720km.

Time = ?

Use your formula:

Time = Distance / Speed

Time = 500/ 720 = 1.44 hours

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

Answer:

12-c

Step-by-step explanation:

Khan academy unit test, 7th grade math.

Answer:

45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)

19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)

Step-by-step explanation:

for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!

Answer:

I think x=8

Step-by-step explanation:

5(x+7)+15=90

90 because it's a 90 degree angle

5x+35+15=90

5x+50=90

5x=40

x=8

Answer:

1) y = -8/5x + 8

2) slope = -3

3) x = 4

4) x ≥ 22/3

5) x = 21/16

6) x = 12

Step-by-step explanation:

1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).

This makes your slope 8/-5 which is the same as -8/5

2) The slope is next to the x, so the slope is -3/1 which is -3.

3) Rearrange the equation to y = mx + b.

Firstly, subtract 6x from both sides:

-3y = -6x + 24

Then, divide both sides by -3:

y = 2x - 8

To get the x-intercept, divide the y-intercept (but positive) by the slope.

8/2 = 4

Your x-intercept is 4.

4) Distribute on the terms:

-53 ≥ -9x - 9 + 3x

Combine like terms:

-53 ≥ -6x - 9

Add 9 to both sides:

-44 ≥ -6x

Divide both sides by -6:

44/6 ≤ x

(Inequality flipped because you divide by a negative)

Simplify:

22/3 ≤ x

Flip the inequality:

x ≥ 22/3

5) Multiply both sides by 4:

3x - x/3 = 7/2

Multiply both sides by 3:

9x - x = 21/2

Combine like terms:

8x = 21/2

Divide both sides by 8:

x = 21/16

or

x = 1.3125

6) Combine like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Hope this helps!

Answer:

the product of 9 and 4 divided by 6

Answer:

fish food

Step-by-step explanation:

bc my moomy pappa gave me food and im so smart now and they broken now up

Answer:

204.4 amu

Step-by-step explanation:

0.30 * 203 = 60.9

0.70 * 205 = 143.5

60.9 + 143.5 = 204.4 amu

I hope this helps!

Answer:

₹ 5000

Step-by-step explanation:

Income= ₹ 25000

House rent = 1/5 of 25000

                  = [tex]\frac{1}{5}*25000[/tex]

                 = ₹ 5000

Other expenditure = 3/5 of 25000

                              = [tex]\frac{3}{5}*25000[/tex]

                              = 3 * 5000

                              = ₹ 15000

Savings = 25000 - ( 5000 + 15000)

              = 25000 - 20000

              = ₹ 5000

Answer:

I will return to this question in 3 minutes....please wait.

It is the middle of the night and yeah

Step-by-step explanation:

thougth ri4rng4g 3i45uto34jkmt

Answer:

8^2+20-30x

Step-by-step explanation:

Answer:

Hello

B. -19

Step-by-step explanation:

= (-7)+7-(19)

= (-7+7)-19

= 0-19

= -19

Answer:

1396 dollars total

Step-by-step explanation:

First we do the salary

80 hours x 14 dollars= 1120 dollars

1120+ 8 percent of shoe sales

shoe sales=3450$

3450x0.08  commision=276$

1120+276= 1396 dollars

Answer:

yes. y-=25x

Step-by-step explanation:

Answer:

its 40

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

look at the picture. :) hope this helps

Answer:

y = 4

Step-by-step explanation:

Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.

4y - 4 = 12

We now can take the -4 from the left and bring it to the right as +4.

4y = 16

We can now divide 16 by 4, getting 4 as the final answer.

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer:

z = 7 - 13i

Step-by-step explanation:

A complex number has the form

z = a + bi ( where a is the real part and bi the imaginary part )

Here a = 7 and bi = - 13i, thus

z = 7 - 13i

4x -3 = 10

Add 3 to both sides:

4x = 13

Divide both sides by 4:

x = 13/4

Answer:

x=3.25

Step-by-step explanation:

4x-3=10

Add 3 to both sides.

4x=13

Divide each side by 4.

x= 3.25

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]

[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]

Answer:

y-intercept: (0, -2)

x-intercept: (4, 0)

Step-by-step explanation:

The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:

-4x+8y=-16

-4x+8(0)=-16

-4x+0=-16

-4x=-16

x=4 ---------- format correctly in (x, y) : (4, 0)

The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:

-4x+8y=-16

-4(0)+8y=-16

0+8y=-16

8y=-16

y=-2 ---------- format correctly in (x, y) : (0, -2)

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Answer:

7

x

+

15

y

=

600

Find the x-intercepts.

Tap for more steps...

x-intercept(s): (6007,0)

Find the y-intercepts.

Tap for more steps...

y-intercept(s): (0,40)

List the intersections.

x-intercept(s): (6007,0)

y-intercept(s): (0,40)

Step-by-step explanation:

Answer:

The correct option is;

Alternate interior angles

Step-by-step explanation:

The m∠5 + m∠2 + m∠6 = 180° proof is given as follows;

Statement                [tex]{}[/tex]                        Reason

1. ABC is a triangle              [tex]{}[/tex]             Given

2. y ║ z                                [tex]{}[/tex]              Given

3. ∠1 ≅ ∠5; ∠3 ≅ ∠6                         Alternate interior angles

4. m∠1 = m∠5; m∠3 = m∠6        [tex]{}[/tex]       Definition of (congruency) ≅

5. m∠1 + m∠2 + ∠3 = m∠LAM        [tex]{}[/tex]  ∠Addition postulate

6. m∠1 + m∠2 + ∠3 = 180°        [tex]{}[/tex]        Definition of straight angles

7. m∠5 + m∠2 + ∠6 = 180°        [tex]{}[/tex]        Substitution property

Step 3;

Given that line y is parallel to line z, we have that the transversal AB will make equal corresponding angles with the lines y and z, therefore, ∠6 will be equivalent to segment AB extended

Which gives, ∠6 is supplementary to ∠a where ∠a = ∠1 + ∠2

Therefore, given that ∠3 is also supplementary to ∠a where as we have above, ∠a = ∠1 + ∠2, we have that ∠3 = ∠6 and ∠3 ≅ ∠6 where ∠3 and ∠6 are alternate interior angles;

Similarly, ∠1 ≅ ∠5 by alternate interior angles of two parallel lines property.

Answer:

The answer is A. alternate interior angles are congruent

Step-by-step explanation:

I tried all my options and that one was correct.

Answer:

The information is  

  The daily temperature of the shop increases while the  pH of the cheese decreases

Step-by-step explanation:

From the question we are told that

  The  correlation between the daily high temperature and the pH of the cheese to be −0.64

Generally the  information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases