There were 63 people sitting in a school auditorium of which 1/7 were teachers, while the rest were students. How many teachers were sitting in the
auditorium?

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

Answer:

1187.52 yd^2

Step-by-step explanation:

SA=2πrh+2πr^2

R=9

H=12

So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2

[tex]( - 6 + 2y)[/tex]

answer the question

Answer:B hope this helps! :D

Step-by-step explanation:

Answer: -7

Step-by-step explanation:

From the information given, we are.l told that Oscar's elevation change after 12 minutes was -84 feet.

Since his elevation was changing at a constant rate, his elevation change per minute will be:

= -84 feet / 12

= -7feet/minutes

Therefore, the integer is -7.

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

Answer:

[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]

Answer:

2.1544 units

Step-by-step explanation:

This side length can be found by finding the third root of the cube:

side length = {10 units^3}^{1/3)  = 2.1544 units

Note:  as a check we can cube this result:  2.1544^3 = 10

Answer:

22=22

Step-by-step explanation:

33-11

22

22=22

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

Answer:

the answer is 25 so yeah hhhhh

Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

Given:

Number of students who has a cat and a dog = 5

Number of students who has a cat but do not have a dog = 11

Number of students who has a dog but do not have a cat = 3

Number of students who neither have a cat nor a dog = 2

To find:

The probability that a student has a cat given that they do not have a dog.

Solution:

Let the following events:

A = Student has a cat

B = Do not have a dog

Total number of outcomes is:

[tex]5+3+11+2=21[/tex]

The probability that a student has a cat but do not have a dog is:

[tex]P(A\cap B)=\dfrac{11}{21}[/tex]

The probability that a student do not have a dog is:

[tex]P(B)=\dfrac{11+2}{21}[/tex]

[tex]P(B)=\dfrac{13}{21}[/tex]

The conditional probability is:

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]

Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

Answer:

x

y

−

2

80

−

1

38

0

−

4

1

−

46

2

−

88

Step-by-step explanation:

I'm pretty sure its just the last 3

Answer:

-4x-6

4x-40

-7x-30

Step-by-step explanation:

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

Answer:

Step-by-step explanation: Finding the height can be solved using a simple formula using the length of the base and the area. You should multiply length times area! hope this helps.

Answer:

yes

Step-by-step explanation:

10 is half of 20 but the equation is 11/20 therefore 11/20 is greater than 10/20=1/2

Step-by-step explanation: it means no solution

hope it is helpful to you

Answer:

This equation has no solutions

Step-by-step explanation:

3(s+4)=s+10+2s

Distribute

3s+12=s+10+2s

Add like terms

3s+12= 3s+10

Subtract 3s from both sides

0  + 12=10

This equation has no solutions

Answer:

MEAN 5.8 add all the points up then divide by the number of dots

MEDIAN 5 the middle of the data

MODE 5 most accruing one

RANGE 7 maximum minus minimum

Answer:

hi

Step-by-step explanation:

hi

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + 3

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Answer:

95/9

Step-by-step explanation:

It will be easier for us to make the mixed numbers fractions.

2 1/3 = 7/3

8 2/9 = 74/9

now we want them to have the same denominator so we multiply the 7/3 fraction by 3/3.

21/9 + 74/9 = 95/9

Answer:

n = 13

Step-by-step explanation:

20= -6+2n

Add 6 to each side

20+6= -6+6+2n

26 = 2n

Divide each side by 2

26/2 = 2n/2

13 =n