A group of high school seniors were surveyed on their interests. Of those surveyed, 16 students said they enjoy reading, and 14 said they enjoyed writing. What additional information would you need to know in order to determine how many students said they enjoy both reading and writing?
a) The number of students who enjoy reading only.
b) The number of students who enjoy writing only.
c) The number of students who don't enjoy neither reading nor writing.
d) The number of students said they enjoy either reading or writing.

Answer:

one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

4x - 3x = 7 + 20

x = 27

Answer:

1 solution

Step-by-step explanation:

x = 27

distribution of 4 into x and -5

4x-20 = 3x +7

-3x+20=-3x+20

x = 27

Answer:

40

Step-by-step explanation:

As the lawn size increases by 4 the weight increases by 8

Answer:

x = 1 , y = - 1 , z = 2

Step-by-step explanation:

[tex]\begin{pmatrix}1&1&-1&-2\\ 2&-1&3&9\\ 1&-1&-2&1\end{pmatrix}\\\\\\= \begin{pmatrix}2&-1&3&9\\ 1&1&-1&-2\\ 1&-1&-2&1\end{pmatrix}[/tex]                          [tex][ \ swap \ R_1 \ and \ R_2 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 1&-4&-2&1\end{pmatrix}[/tex]                        [tex][ \ R_2 = R_2 - \frac{1}{2} R_1 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\end{pmatrix}[/tex]                        [tex][ \ R_3 = R_3 - \frac{1}{2} R_1 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\end{pmatrix}[/tex]                      [tex][ \ swap \ R_2 \ and \ R_3 \ ][/tex]

[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&0&-4&-8\end{pmatrix}[/tex]                        [tex][ \ R_3 = R_3 + \frac{3}{7}R_2 \ ][/tex]

Therefore,

           [tex]-4z = - 8\\\\z = 2[/tex]

        [tex]-\frac{7}{2} y - \frac{7}{2}z = -\frac{7}{2}\\\\y + z = 1\\\\y + 2 = 1 \\\\y = 1 - 2 = - 1[/tex]

      [tex]2x - 1y + 3z = 9\\\\2x -1(-1) + 3(2) = 9\\\\2x + 1 + 6 = 9\\\\2x = 9 - 7\\\\2x = 2 \\\\x = 1[/tex]

Answer:

Amber rode for 36 minutes in total.

Step-by-step explanation:

Lets create a ratio table:

Time elpased (minutes) : Laps around park

                                    9 : 1

                                  36 : 4

Amber rode for 36 minutes in total.

đã đi 36 phút.

từng bước

                                   9: 1

                                 36: 4

Amber đã đi tổng cộng 36 phút.

Answer:

x = 7.2

y = 10

z = 6

Step-by-step explanation:

Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:

JK/AB = KL/BC = LM/CD = JM/AD

Substitute

12/x = y/6 = 15/9 = 10/z

✔️Find x:

12/x = 15/9

12/x = 5/3

Cross multiply

x*5 = 3*12

5x = 36

x = 36/5

x = 7.2

✔️Find y:

y/6 = 15/9

y/6 = 5/3

Cross multiply

y*3 = 5*6

3y = 30

y = 30/3

y = 10

✔️Find z:

15/9 = 10/z

5/3 = 10/z

Cross multiply

5*z = 10*3

5z = 30

z = 30/5

z = 6

Step-by-step explanation:

20% of the length is 23 cm

100% of the length is 23×5 = 115 cm

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Interest amount paid on loan = $90

Principal value, amount borrowed = $500

Period, t = 16 days

The equivalent annual interest :

Using the simple interest formula :

simple interest = principal * rate * time

Using, days of year = 365

Plugging in the values into the formula :

90 = 500 * rate * (16/365)

90 = 500 * rate * 0.0438356

90 = 21.917808 * rate

Rate = 90 / 21.917808

Rate = 4.10 = 4.10 * 100% = 410%

If days of year = 360 is used :

90 = 500 * rate * (16/360)

Rate = 90 / 22.222

Rate = 4.05 = 4.105 * 100% = 405%

The linear equation of line passing through the (-14,-5) and (4,5) is given by -5x + 9y = 25

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -14 , -5 )

Let the second point be Q ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -5 - 5 ) / ( -14 - 4 )

Slope m = -10 / -18

Slope m = 5/9

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 5 = ( 5/9 ) ( x - 4 )

Multiply by 9 on both sides , we get

9y - 45 = 5x - 20

Adding 45 on both sides , we get

9y = 5x + 25

Subtracting 5x on both sides , we get

-5x + 9y = 25

Hence , the equation of line is -5x + 9y = 25

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

?

Step-by-step explanation:

i think ljhh ako naiintindihan

[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]

Optoion C. Categorial data set is the right answer of the question given.

RaonbowSalt2222

Answer:

1

Step-by-step explanation:

Computing Tv(X, X + a ) for any a∈(0,1)

Given that :  X∼Ber(0.5)

∴ The probability mass function

    P(X = 1 ) = 0.5

    P(X = 0) = ( 1 - 0.5 )

and expectation  E[X] = 0.5

hence ; TV ( X, X + a ) = 1

Answer:

25 is A and 26 is B

Step-by-step explanation:

25) a²+b²=c²

missing side can be=b

to find the missing side subtract 6.7² from 12.6²

b²=12.6²-6.7²

b²=158.76-44.89

the square root of b²= the square root of 113.87

b=10.67

the missing side is equal to 10.7(1d.p)

26) a²+b²=c²

c= hypotenuse

10.8²+11²=c²

116.64+121=c²

c²=237.64

the square root of c²= the square root of 237.64

c=15.42(2d.p)

the hypotenuse is=15.4

The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.

Answer:

the correct answer is 10

Answer: 4125

Step-by-step explanation:

S.I = P X R /100 X T

S.I = 110000 x 5/100 x 9/12 = 4125

= 4125

Answer:

Jhhhuujjjjhfuudjdjdjdjdirr

Answer:

[tex]8.19 \times 10^{4}[/tex] different playlists are possible

Step-by-step explanation:

The order in which the songs are played is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

6 songs, so 2 reggae(from a set of 5), 2 hip hop(from a set of 15) and 2 blues(from a set of 13). So

[tex]T = C_{5,2}C_{15,2}C_{13,2} = \frac{5!}{2!3!} \times \frac{15!}{2!13!} \times \frac{13!}{2!11!} = 10*105*78 = 81900[/tex]

In scientific notations:

4 digits after the first, which is 8, so:

[tex]8.19 \times 10^{4}[/tex] different playlists are possible

Answer:

2.1

Step-by-step explanation:

Given :

3m-4.2 where, m=2.1

Now,

3(2.1)-4.2

6.3-4.2

2.1

Answer is 2.1

Answer:

Step-by-step explanation:

Area stage = 1/2 h (ab +cd)

Area = 5(14+22)

meeting center Area = 180

room = 25*32 = 800

800-180 = 620 tile

620*$4.90 = $3038

So no not enough money....

Note: even if it was $2999 it still would not be enough because

you have to cut tiles to fit in corners and edges... Just having fun with that comment, the math problems sometimes don't take reality into account (ha ha ha)

Answer:

if it takes the lorry ten hours we divide 400 by 10

40 mph

if it takes 15% longer that means it will take

10*1.15=11.5

if we divide 400 by 11.5

we get 34.7826086957

or 34.8

so the lorry travels 5.2 mph faster then the expected speed

Hope This Helps!!!

9514 1404 393

Answer:

  b. x = π/2, x = 3π/2

Step-by-step explanation:

The maximum is found where the argument of the cosine function is a multiple of 2π.

  2x -π = 2nπ

  2x = (2n+1)π . . . . . . . add π

  x = (2n+1) · π/2 . . . . . divide by 2

  x = {π/2, 3π/2}

Answer: 28

Step-by-step explanation: ADB = 1/2 ACB

Answer:

The inverse is -3 ±sqrt(5x+7/2)

Step-by-step explanation:

5y+4=(x+3)^2+1/2?

To find the inverse, exchange x and y

5x+4=(y+3)^2+1/2​

Solve for y

Subtract 1/2

5x+4 -1/2=(y+3)^2+1/2​-1/2

5x+8/2 -1/2=(y+3)^2+1/2​-1/2

5x+7/2 = (y+3)^2​

Take the square root of each side

±sqrt(5x+7/2) =sqrt( (y+3)^2​)

±sqrt(5x+7/2) = (y+3)

Subtract 3 from each side​

-3 ±sqrt(5x+7/2) = y+3-3

-3 ±sqrt(5x+7/2) = y

The inverse is -3 ±sqrt(5x+7/2)

Answer:

= 3.6

Step-by-step explanation:

Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.

Density is simply mass / volume (kg / m3 ).

clarify its 1.2 x 3 = 3.6

12400 / 3.6 = 3.444 occuring

Answer:

Step-by-step explanation:

In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:

2y = 3x + 1 in slope-intercept form is

[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] .  Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):

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

[tex]y-2=-\frac{2}{3}x+2[/tex]  so

[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.

Answer:

His mark, as a percentage, was of 40%.

Step-by-step explanation:

Mark as a percentage:

His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.

In this problem:

60 questions correct out of 150. So

60*100%/150 = 40%

His mark, as a percentage, was of 40%.

Answer:

Critical point is at (-1, 2) because it is the point where the slope is approximately zero.

Step-by-step explanation:

A critical point in a graph like this is simply the point where the slope is zero or undefined.

Looking at the graph given, the point at which the graph slope is zero is around the coordinate (-1, 2).

So we estimate that to be the critical point.

Answer:

12

Step-by-step explanation:

The ratio is 9:30

So for 40 people , it would be ?:40

Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas

Answer:

12 i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-(-2)

negative x negative always give positive .

=>2

You can easily represent 2 on number line