PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.

Chantal is making a relative frequency table from this data.

What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?




Divide 239 by 609.


Subtract 185 from 609, then divide by 609.


Divide 185 by 609.


Add 239 to 609, then divide by 609.

Answer:

6 sqrt(5) - 4 sqrt(15)

Step-by-step explanation:

sqrt(5) ( ( 6 - 4 sqrt(3))

Distribute

6 * sqrt(5) - 4 * sqrt(5) sqrt(3)

We know sqrt(a) sqrt(b) = sqrt(ab)

6 sqrt(5) - 4 sqrt(15)

Answer:

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]

[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Answer:

Subtract 6 from each side

Step-by-step explanation:

4x + 6 = 20

Subtract 6 from each side

4x + 6 -6= 20 -6

4x = 14

Answer:

[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]

Step-by-step explanation:

[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

No, because 3(2) + 2 ≠ 12.

Step-by-step explanation:

An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,

Number of goals scored by Carrie = x

Number of goals scored by Kenny = 3x

Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,

Total score = Number of goals scored by Carrie +Number of goals scored by Kenny

12 = x + 3x

12 = 4x

x = 3

Further, the number of goals for the two can be written as,

Number of goals scored by Carrie = x = 3

Number of goals scored by Kenny = 3x = 3×3 = 9

Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.

Learn more about Equation here:

https://brainly.com/question/14686792

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Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Volume of larger prism÷Volume of cube

that is;

Note:V=LWH

Therefore

[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}

= 1440[/tex]

Hope this answers your question!

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Cheers!

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

Answer:

the answer is 20

Step-by-step explanation:

let the number be "x"

1st part = 2/5of x

2nd part = 1/4 of x

=) 2/5 x - 1/4 x = 3

=) lcm of 4 ,5 is 20

=) ( 2x * 4 ) - ( 1x *5) by 20 =3

=) 8x - 5x / 20 =3

=) 3x / 20 =3

=) 3x = 3 *20

=) 3x = 60

=) x = 60 /3

=) x = 20

the number is 20

Answer: 20

Step-by-step explanation:

2/5x -1/4x = 60

Multiply by 20 on both sides,

8x - 5x = 60

3x = 60

x = 60/3 = 20

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

Answer:

113.1

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

Answer:

D

Step-by-step explanation:

Count by 25. Its a no-brainer honestly.

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Answer:

4.09

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

change 1890 to kilograms

1890/1000= 1.89

add both weight = 1.89+2.2

4.09

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.

Answer:

Diver A is 21 ft below Diver B

Step-by-step explanation:

Diver A

-18 then goes down 30

-18 - 30 = -48

Diver B is at -27

Relationship

-48 - -27

-48+27 = -21

Diver A is 21 ft below Diver B

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

Answer:

2x^2+4x-30=0

Step-by-step explanation:

2x^2+10x-6x-30=0

2x(x+5)-6(x+5)=0

(2x-6)(x+5)=0

2x-6=0        x+5=0

x=6/2          x=-5

x=3

Answer:

Step-by-step explanation:

[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]

so we know that the sum of the two solutions is -2 and the multiplication -15

so we are looking for x so that

x+3=-2 and 3x=-15

it gives x = -5

another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives

[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]

and then the second solution is -5

Answer90

Step-by-step explanation:

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

Answer:

B

Step-by-step explanation:

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13

Answer:

C.

Step-by-step explanation:

(5+5)/2 = 5, (4 + -5)/2 = -1/2

(5, -1/2)

TFW when you realize you answered two years too late...

Answer:

80 degrees

Step-by-step explanation:

180-100=80 degrees

Answer:

[tex]80 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line = 180°

Let the ACE angle be x

Given that

ACD angle =100°

[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

Answer:

[tex]3y - 2x = 13[/tex]

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]

[tex]m = \frac{7 + 5}{4 + 14}[/tex]

[tex]m = \frac{12}{18}[/tex]

Simplify fraction to lowest term

[tex]m = \frac{6*2}{6*3}[/tex]

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

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]

We have

[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]

[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]

Multiply both sides by 3

[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{3(y+5)}{x+14}[/tex]

Multiply both sides by x + 14

[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]

[tex]2 * (x + 14) = 3(y+5)[/tex]

Open brackets

[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]

[tex]2x + 28 = 3y+ 15[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]

[tex]28 = 3y+ 15 - 2x[/tex]

Subtract 15 from both sides

[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]

[tex]28 - 15 = 3y - 2x + 15- 15[/tex]

[tex]13 = 3y - 2x[/tex]

Reorder

[tex]3y - 2x = 13[/tex]

Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]