A circular lake has a circumference of 24 miles. To the nearest hundredth of a mile, what is the radius of the lake?

answer:

she can only buy 4 games

Answer:

L'(1;1) M'(5;1) P'(5;4)

Answer:

Step-by-step explanation:

1. 520/13=40

140/7=20

40*20=80

2. 300*150=45000

   45000*6=270000

3. 230-70*2=90

   90/2=45 (width)

   70*45=3150(area)

Answer:

[tex](x,y) = (2,1)[/tex]

Step-by-step explanation:

Given

Coordinate: (-3,-9) and (4,5)

Ratio= 5 : 2

Required

Determine the point at the segment

The coordinate of the point is calculated using:

[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

Where:

[tex]m : n=5:2[/tex]

[tex](x_1,y_1) = (-3,-9)[/tex]

[tex](x_2,y_2) = (4,5)[/tex]

So, we have:

[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]

[tex](x,y) = [\frac{5 * 4 + 2 * -3}{5+2},\frac{5*5+2*-9}{5+2}][/tex]

[tex](x,y) = [\frac{14}{7},\frac{7}{7}][/tex]

[tex](x,y) = (2,1)[/tex]

The coordinate of the point is: (2,1)

Answer:

(y-3) = 2(x-1)

Step-by-step explanation:

Point slope form is

(y-y1) = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

(y-3) = 2(x-1)

Answer:

2*x + 2*y ≤ 165 ft

x > 50ft

0ft < y ≤ 20ft

Step-by-step explanation:

For a rectangle with length x and width y, the perimeter of the triangle is:

P = 2*x + 2*y

The perimeter needs to be equal or smaller than the length of fencing that the farmer has, then:

2*x + 2*y ≤ 165 ft

We also know that:

(x strictly larger than 50ft)

x > 50ft

(y can be, at most, 20 ft)

0ft < y ≤ 20ft

(where we added the restriction that y needs to be larger than zero, because we can not have a width equal or smaller than zero)

Then the system of inequalities that represent this situation is:

2*x + 2*y ≤ 165 ft

x > 50ft

0ft < y ≤ 20ft

Answer:

Average rate of chage = [change of y] / [change of x] = [- 10.125 - (-.35)] /[4 - 2] =

= -3.3125

Answer: option B.

Step-by-step explanation:

please mark as brillant

Answer:

B.) −3.3125

Step-by-step explanation:

I am doing the test on flvs right now.

Answer:

m=10

n=12

Step-by-step explanation:

[tex]\frac{1}{5} m-\frac{1}{6} n=0\\m=\frac{5}{6} n\\5 \times \frac{5}{6} n-4n=2\\25n-24n=12\\n=12\\m=\frac{5}{6} \times 12=10[/tex]

Answer:

-8

Step-by-step explanation:

Multiply -4 and 2

Answer:

-8

Step-by-step explanation:

Answer: 72.32

Step-by-step explanation:

The line is 180 so

7x + 8x + 44.4 = 180

15x + 44.4 = 180

-44.4         =  -44.4

15x = 135.6

divide both by 15

x = 9.04

So 8 * 9.04 = 72.32

Answer:

The answer is 72.32°

Step-by-step explanation:

So, since that is a straight line, we know that all of the angles add up to get 180° total. Using this knowledge, we can determine that 44.4 + 8x + 7x = 180°.

First, we need to find what x is to find the missing values. To do that, we have to set all the values, 44.4, 8x, and 7x equal to 180, because we know they add up to 180°.

44.4 + 8x + 7x = 180

Combine the like terms.

44.4 + 15x = 180

Bring the 44.4 over to the other side in order to get x alone by subtracting it from 180.

15x = 135.6

Divide both sides by 15 to get x completely alone.

x = 9.07

Now we have what x is, 9.07.

All you need to do now is substitute 9.07 into the place of x.

8(9.07) = 72.32

So now you know that the highlighted angle is 72.32°.

Answer:

12, 15

Stepby-step explanation:

Answer:

y=-3x-1.8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1.8)=-3(x-0)

y+1.8=-3(x)

y+1.8=-3x

y=-3x-1.8

Answer:

120

Step-by-step explanation:

The probability of a girl being picked one day = 10/15 = 2/3

Total number of days = 180

Therefore, the nunber of times it will be a girl = 2/3 x 180 = 2 x 60 = 120

Hope this helps

Answer:44

Step-by-step explanation:

Just you the proportions:

so you will get (20*33)/15 which is equals to 44

Answer:

44

Step-by-step explanation:

From the one side the relationship is 15:20, so for this side it's 33:??

15/20 = .75

33/.75 = 44

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

Answer:

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

Given data

Commission= 5%

Sales= $3,200

Total earnings= $240

Let us find the amount in commission earned

=5/100*3,200

=0.05*3,200

=$160

Hence 240-160=$80

$80 is the amount earned yesterday

we are told that per hour is $10

Hence $80 will be earned for

=80/10

=8 hours

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Here, total angle is 90°.

hence, 90° = x + 57°

so, ==> x = 90° - 57°

x = 33°

hence, x = 33°

Answer:

x=33°

Step-by-step explanation:

90-57=33. Basically, Q is 90°

Answer:

9

Step-by-step explanation:

Answer:

1 set of A= $0.15

1 set of B= $0.20

Total Stamps bought = 37

Total purchase = 37

Let X= Set A of $0.15 each

Y= Set B of $0.20 each

x+y = 37----------X=37-Y

0.15X + 0.20Y = 6.60

0.15(37-Y) + 0.20Y = 6.60

5.55- 0.15Y + 0.20Y =6.60

0.05 Y = 6.60-5. 55

Y=1.05/ 0.05= 21

X= 37-21= 16

Answer:

60 books were at the book sale

Step-by-step explanation:

Let

x = total books at the book sale

Percentage of books sold = 80% of x

= 80/100 * x

= 0.8x

Number of books sold = 48

Therefore,

0.8x = 48

Divide both sides by 0.8

0.8x / 0.8 = 48 / 0.8

x = 60 books

x = total books at the book sale = 60 books

Number of books unsold = Total books at the book sale - number of books sold

= 60 - 48

= 12

Number of books unsold = 12 books

Answer: 20 mph

Step-by-step explanation:

Given

The airplane is at a height of 528 ft with a rate of 20 mph

The automobile is also directing east at the rate of 40 mph

at this instant, they are separating by the relative velocity between them

[tex]\Rightarrow v_{rel}=40-20=20\ mph[/tex]

Answer:

C) $130

Step-by-step explanation:

simplify the equation:

p = 210 - (20 * 4)

p = 210 - (80)

p = 130

Answer:

-108

Step-by-step explanation:

(-2)²(-3)³​

When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³​, it means (-3) multiplied by itself 3 times since the exponent is 3.

= (-2)(-2)(-3)(-3)(-3)

Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.

= (4)(-3)(-3)(-3)

= (-12)(-3)(-3)

= (36)(-3)

= -108

Therefore, the answer is -108.

I hope this helps!

Answer:

It is not correct, x = -5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because 5+15=10

-15=15

x= -5

which means its NOT a solution because it equals -5

Answer:

y=-6/5x-2

Step-by-step explanation:

We are given points (5,-8) and (-5,4)

Slope = m = (y₂-y₁)/(x₂-x₁) = (-8-4/(5-(-5)) = -12/10 = -6/5

Y-intercept = b = (0,-2)

Final equation: y=-6/5x-2

Answer:

y=-6/5x-2

Step-by-step explanation:

y=mx+b

Its sloping downwards, so a negative slope.

two points: (-5,4) and (5,-8)

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

so first find the slope.

y2-y1 / x2-x1  <= formula

so: -8-(4) / 5-(-5)

which becomes => -12/ 10

which is 6/5 the slope is 6/5

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

plug this into y=mx+b, where m is the slope

so: y=6/5x+b

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

obviously b is the y intercept, where the line meets y

the y intercept is -2

sooooooo final answer is

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

y=6.5x+(-2)

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

Negative slope, so becomes y=6/5x-2