The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.

Answer:

y-2=3(x-2)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

y-2=3(x-2)

Answer:

15= number of years

Step-by-step explanation:

Giving the following information:

Current value= $300

Growth per year= $40

Triple value= $900

To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:

Future value= current value + (growth rate per year*number of years)

900 = 300 + (40*number of years)

600= 40number of years

600/40= number of years

15= number of years

Answer:

About 6.7%

Step-by-step explanation:

Answer:

1

1

3

cups

Explanation:

This is a ratio question. If we are comparing the ratios, we could say

24

36

=

x

2

where x = the amount of sugar to make 24 cookies.

We can multiply both sides by 2 to cancel the 2 on the right, making

24

(

2

)

36

=

x

.

Simplify this and we get

48

36

and eventually

4

3

or

1

1

3

.

Step-by-step explanation:

Answer:

p = 9

Step-by-step explanation:

8(8p + 8) = 640

use the dist property

64p + 64 = 640

        -64      -64

64p = 576

divide by 64

p = 9

Answer:

9

Step-by-step explanation:

Answer:

Use ratios of corresponding sides:

4.

5.

6.

Answer:

see explanation

Step-by-step explanation:

(a)

To find the x- intercepts , let y = 0 , that is

6x - x² = 0 ← factor out x from each term

x(6 - x) = 0

Equate each factor to zero and solve for x

x = 0

6 - x = 0 ⇒ x = 6

Coordinates of P (6, 0 )

(b)

The axis of symmetry is a vertical line, positioned at the midpoint of the zeros

x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Equation of axis of symmetry is x = 3

(c)

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 6x - x² = - x² + 6x ← is in standard form

with a = - 1, b = 6 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into y = 6x - x² for y- coordinate

y = 6(3) - 3² = 18 - 9 = 9

coordinates of maximum point = (3, 9 )

Answer:

3x² + 10x - 48

Step-by-step explanation:

Given

(x + 6)(3x - 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x - 8) + 6(3x - 8) ← distribute both parenthesis

= 3x² - 8x + 18x - 48 ← collect like terms

= 3x² + 10x - 48

Answer:

linear slope paragraph

Answer:

the slope is 58

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

since it is a circle the diameter is two times larger than radius.So 4×2=8km

Answer:

17/60 yards of scarf

Step-by-step explanation:

If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit

To solve the above question:

5 friends = 1 5/12 yards

1 friend = x yards

Cross Multiply

5 × x = 1 × 1 5/12 yards

x = 17/12 yards ÷ 5

x = 17/12 yards × 1/5

x = 17/60 yards of scarf

Answer:

its D

Step-by-step explanation:

1x5/12 + 5/12 1 X 5 = 5  SO 1 X 5/12 IS D

9514 1404 393

Answer:

  $49.98

Step-by-step explanation:

The interest credited to Isabel's account each month is ...

  I = Prt

  I = $4000·(0.025)(1/12) = $8.33

If she withdraws that amount each month, the original balance is restored, and she will earn the same amount the next month.

Isabel's total earnings in 6 months will be ...

  $8.33 · 6 = $49.98

Answer:

sorry no se la respuesta

Answer:

75 words in 10 mins

Step-by-step explanation:

450 words in 60 mins, 450/6 is 75 meaning he can type 75 in 10 mins.

Answer:

30 minutes ................ 450 words

1 minute ..................

30

450

=15 words

6 minutes .............. 15×6=90 words

Answer:

the last one

Step-by-step explanation:

Answer:

First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive.

Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget. If your expenses were lower than your budgeted amount, then this number will be negative, describing the percentage under budget.

Answer:

Step-by-step explanation:

That would be 8 x 3. It would help because 24/8 = 3.

pentagonal prism

hope it helps you

Answer:

the last one

Step-by-step explanation:

because they are given their names based on their bases

Answer:

the subject of the story

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

Answer:

Step-by-step explanation:

x + 2y = 10    ⇒  2y - 10 = -x

-x + 4y = 14

2y - 10 + 4y = 14

6y = 24

 y = 4

Answer:

289819

Step-by-step explanation:

Answer:

1., 3., and 4.

Step-by-step explanation:

It's C.  

Or how other people say it,

3 or –2.5 < –2

Answer:

Let width = b

Then length,l=2b

Perimeter =72

2(l+b)=72

2(2b+b)=72

2(3b)=72

6b=72

b=72/6=12

L=2b=12x2=24

Answer:

abc + bca + cab

abc(1+1+1)

3×18

54

Answer:

54

Step-by-step explanation:

a + b + c = 18

abc + bca + cab = ???

18 / 3 = 6

a = ? = 6

b = ? = 6

c = ? = 6

(6 + 6 + 6) + (6 + 6 + 6) + (6 + 6 + 6)

(18) + (18) + (18)

abc + bca + cab = 54

Answer:

2(90-x)=180-x-24

solve this

180-2x=156-x

solve the rest on your own

Hope it helps!

The measure of the angle will be 24 degree.

What is Complementary angle?

When sum of two angles are 90 degrees then the two angles are called Complementary angles.

Given that;

The expression is,

''Twice the complement of an angle is 24 degrees less than its supplement.''

Now,

Let measure of an angle = x degree

The complement of an angle x = (90 - x) degree

The supplement of an angle x = (180 - x) degree

Then, By the given condition we can formulate;

2 ( 90 - x) = (180 - x) - 24

180 - 2x = 180 - x - 24

180 - 2x = 156 - x

Subtract 180 both sides;

180 - 2x - 180 = 156 - x - 180

- 2x = - x - 24

Take negative sign common,

2x = x + 24

Subtract x both side,

2x - x = 24

x = 24

Thus, The measure of the angle will be 24 degree.

Learn more about the complement angles visit:

https://brainly.com/question/98924

#SPJ5

Answer:

x + 9.50 = 35

Step-by-step explanation:

The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,

We already know the amount they spent on popcorn.

X, the amount they spent on tickets + 9.50=35

9514 1404 393

Answer:

  11) x = 9

  12) x = 9

Step-by-step explanation:

11) Corresponding segments are proportional, so ...

  x/6 = 12/8

  x = 6(12)/8 . . . multiply by 6

  x = 9

__

12) Similar triangle relationships show you the geometric mean relationship that applies in this case.

  long side/short side = x/3 = 27/x

  x² = 3·27 . . . . . . cross multiply

  x = √(3·27) . . . . geometric mean relationship

  x = 9