An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.

a. Write a formula for the perimeter of the indoor track
P=

b. Solve the formula for x.
x=

c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet
​

Answer:

-20

Step-by-step explanation:

Answer:

it is -20

Step-by-step explanation:

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

Answer:76

Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27

Answer:

the same as its been for 2 days

Step-by-step explanation:

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

a - 2(4 - a) = 7a - 12

Step 2: Solve for a

Distribute -2: a - 8 + 2a = 7a - 12

Combine like terms: 3a - 8 = 7a - 12

Subtract 3a on both sides: -8 = 4a - 12

Add 12 on both sides: 4 = 4a

Divide both sides by 4: a = 1

Step 3: Check

Plug in x to verify if it's a solution.

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5

Answer:

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Answer:

  (-5/3, -4/3)

Step-by-step explanation:

  3 < 6c +13 < 5 . . . . given

  -10 < 6c < -8 . . . . . subtract 13

  -10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

  (-5/3, -4/3)

Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer:

Step-by-step explanation:

You could use a calculator or you could perform long division to find the remainder of 15/266.  There is no integer quotient, other than 0 (zero).  That means 15 is the remainder.

Supposing you were dealing with 266/15 (which is really a different problem).  This division produces an integer quotient and a remainder:

266

------- = 17 r. 11

 15

Double-check to ensure that you've copied this problem down correctly.

The answer to f(-3)= -3^2+1 is 10 !!

Answer: 10

STEP BY STEP STEP BY STEP BY STEP

Answer:

See Below

Step-by-step explanation:

y = [tex]\frac{x-v}{b}[/tex]

Isolate x

First step, multiply both sides by b to get rid of fraction

y(b) = x - v

+v          +v

y(b) +v = x

Hope this helps!=)

Answer: sometimes

explanation:

if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.

Answer:

Always

Step-by-step explanation:

If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b

Answer:

254.47

Step-by-step explanation:

A=πr2=π·92≈254.469

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

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Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

Learn more about inequality here:

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j = 13

7×j = 91

j = 91 : 7

j = 13

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

Hey there!

[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]

Keep denominator same and add parenthesis to 3/5.

[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]

Here is your answer.

[tex]\frac{-97}{5} (ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

  C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

__

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

Hey there! I'm happy to help!

First let's find the radius. The radius is half of the diameter.

9/2=4.5

Here's how to find the volume of any sphere.

You cube the radius.

4.5³=91.125

You multiply by 3.14

91.125(3.14)=286.1325

And finally we multiply by 4/3.

286.1325(4/3)=381.51

We round to the nearest tenth, giving us a volume of 381.5 in^3.

Have a wonderful day! :D

9 in = 3 in

v = 3,14x 3 x 3

= 28,26

Answer:

.........it equals 60.52200

Answer:

The statement that describes a situation that can be modeled as a growth or decay over equal interval is;

C. A species of fly doubles its population every month during the summer

Step-by-step explanation:

We have for exponential growth or decay, the following equation;

Exponential growth or decay;

[tex]y = a \cdot b^t[/tex]

Where;

a = The initial amount of the item

1 + r =  The rate of growth in percentage

b = The growth or decay factor

t = The time

For exponential decay, we have;

0 < b < 1

b = 1 - r

[tex]y = a \cdot(1 - r)^t[/tex]

For exponential growth, we have;

b > 1

b = 1 + r

[tex]y = a \cdot(1 + r)^t[/tex]

Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;

[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]

Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam