Complete the two-way frequency table below, which shows the relationship between students who enroll in art class and in music class in a particular high school. From a sample of 60 students it is found that 23 are in art class, 34 are in music class, and 11 are enrolled in both. How many students are enrolled in either art class or music class?



Art Not in Art Total
Music 11 34
Not in Music
Total 23 60

35
14
11
46

Answer:

40 degrees

Step-by-step explanation:

Angles in a triangle add to 180 so

100+40+2x=180

140+2x=180

2x=40

x=20

2x=2(20)=40

Answer:

x= 0    x=4

Step-by-step explanation:

2x^2=8x

Subtract 8x from each side

2x^2   -8x=8x-8x

2x^2 - 8x =0

Factor 2x

2x( x-4) =0

Using the zero product property

2x =0   x-4 =0

x= 0    x=4

Answer:

(0,4)

Step-by-step explanation:

Divide both sides of the equation by 2

x^2=4x

Move the variable to the left-hand side and change it's sign

x^2-4x=0

Factor out x from the expression

xx(x-4)=0

Separate into possible cases. )When the product of factors equals 0, at least one factor is 0)

x=0

x-4=0

solve the equation for x

x=0

x=4

The equation has 2 solutions

Answer:

x=-5

Step-by-step explanation:

Answer:

Future value, A = $8444.16

Step-by-step explanation:

Given the following data;

Principal = $3,600

Time = 2 years

Number of times = 24

Interest rate = 0.43 %

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 3600(1 + \frac{0.43}{24})^{24*2}[/tex]

[tex] A = 3600(1 + 0.01792)^{48}[/tex]

[tex] A = 3600(1.01792)^{48}[/tex]

[tex] A = 3600(2.3456)[/tex]

Future value, A = $8444.16

Answer:

120 degrees

Step-by-step explanation:

a straight line is 180 degrees, so 180-60

Answer:

6535

Step-by-step explanation:

collect your own thinikng

Answer:

1. 120

2. 120

3. 132

4. 600

Answer:

d

Step-by-step explanation:

because all values Gon be negative

9514 1404 393

Answer:

  102 11/12 km ≈ 102.917 km

  102,916 2/3 m ≈ 102,917 m

Step-by-step explanation:

1 minute is 1/60 of an hour, so 95 minutes is 95/60 hours = 19/12 hours.

Distance is the product of speed and time, so ...

  distance = (65 km/h)(19/12 h) = 1235/12 km = 102 11/12 km ≈ 102.917 km

__

Each kilometer is 1000 meters, so this distance is ...

  (102.917 km) × (1000 m/km) = 102,917 m

Answer:

83.3...

Step-by-step explanation:

50x5/5=250/3

x=83.3

Isaac can swim 83.3 per minute.

It is required to find how far Isaac swim per minute.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Isaac swims across a 50-meter pool in 3/5 of a minute.

According to question we have

50-meter = 3/5 of a minute

50x5/3meter= 1 minute

=250/3 meter/minute

=83.3meter/minute

Therefore,  Isaac can swim 83.3 per minute.

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Answer:

my answer is A. you only need substitute n from 1 to 4

Answer:

Step-by-step explanation:

no ,x*x*x*x*x=x^5

x+x+x+x+x=5x

in multiplication those who have same base we add their power.

in addition those variables which have same base(or are like term) we add them.

Answer:

3x2-3x+9

Step-by-step explanation:

(h-k)(3)

(X2+1-(x-2))(3)

(x2+1-x+2)(3)

3x2+3-3x+6

3x2-3x+9

Hello,

h(x)=x²+1

k(x)=x-2

First of all, you must understand that:

(h+k)(x)=h(x)+k(x)

So, (h+k)(3)=h(3)+k(3)=(3²+1)+(3-2)=(9+1)+1=11

3h(2)+2k(3)=3*(2²+1)+2*(3-2)

=3*(4+1)+2*1

=15+2

=17

Answer:

d.18

Step-by-step explanation:

as x goes up by 1, y goes up 18

Answer:

61.2%

Step-by-step explanation:

Let's start by finding the total area of the circle

it says that the radius is 4 so the total area is 16π

Then let's find the area of the traingle

The hieght is 6.5 and the base is 6

.5*6.5*6=19.5

Let's then find the white area

16π-19.5=30.765

Finally we just have to do (30.765/16π)= 61.2%

Answer:

3

Step-by-step explanation:

jade owl had 3 more extra than queen bee

Answer:

30

Step-by-step explanation:

one book symbol is 10 books, there's 3 for jade and 6 for queen. 60-30

Answer:

31(given degree) + a(unknown degree) = 90 degrees(right angle shown is equal to 90 degrees)

31 + a = 90

-31        -31

A = 59 degrees.

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for drawing

Answer:

-5

4

Step-by-step explanation:

x + x² = 20

x² + x - 20 = 0

Factor

(x + 5)(x - 4) = 0

x = {-5, 4}

-5 + 25 = 20

4 + 16 = 20

Answer:

81/100

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

42

Step-by-step explanation:

The quadrilateral is a parallelogram

The area of a parallelogram can simply be calculated by multiplying the base length by the height

The parallelogram has a height of 3m and a base length of 4 + 10 = 14m

Hence area = 14 * 3 = 42

Answer:

(a) Because the expression is not an equation

(b) Because the expression is an equation

Step-by-step explanation:

Solving (a): a + 2

The above expression can assume any value for a because it is not an equation.

Take for instance:

a = 2;

[tex]a + 2 \to 2 + 2 = 4[/tex]

[tex]a =-4[/tex]

[tex]a + 2 \to -4 + 2 = -2[/tex]

The reason for this is because the expression is not an equation

Solving (b): [tex]b + 2 = 5[/tex]

The above expression can assume only value for b, and the value is:

[tex]b + 2 = 5[/tex]

[tex]b = 5-2[/tex]

[tex]b =3[/tex]

This means that only [tex]b =3[/tex] will make the equation true.

The reason for this is because the expression is an equation

Step-by-step explanation:

go to school do math then you'll figure out

Answer:

ok first we have to add the number of lollipops up

9+13+5+11+7+15=60

so there is 60 lollipops in total

now we have to add up the ones with out a chocolates center

11+7+15=33

so 33/60

we can simplify this

11/20

now we multiply both by 5

55/100

so 55%

Hope This Helps!!!

The correct answer is option A which is the probability of not having a chocolate center is 55%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

9+13+5+11+7+15=60

So there are 60 lollipops in total, now we have to add up the ones without a chocolate center.

The probability will be calculated as:-

11+7+15=33

P =33/60

P = 11 / 20

Now we multiply both by 5

P = 55/100

Therefore the correct answer is option A which is the probability of not having a chocolate center is 55%.

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Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.

Answer:

A. (x+5) / (x+10)

Step-by-step explanation:

______

Answer:

16.75 dollars per hour

Step-by-step explanation:

Take the amount earned and divide by the hours

134 dollars / 8 hours

16.75 dollars per hour