In a school of 450 people 110 are in the choir 240 are in a band and 60 are in both What is the probability that a student chosen at random is both in the band and choir

Answer:

A

Step-by-step explanation:

2x-3=5(x+6)

2x-3=5x+30

2x-33=5x

3x=-33

x=-11

Hope this helps!

Answer:

2/7

Step-by-step explanation:

7/8 ÷ 3 1/16

Change to an improper fraction

3 /16 = (16*3+1)/ 16 =49/16

7/8 ÷49/16

Copy dot flip

7/8 * 16/49

Rewrite

7/49 * 16/8

Simplify

1/7 * 2/1

2/7

Answer: 41

Step-by-step explanation:

Answer:

c:16

Step-by-step explanation:

Answer:

56 tiles

Step-by-step explanation:

[tex]\dfrac{252}{4\frac{1}{2}}= \\\\\\\dfrac{252}{\frac{9}{2}}= \\\\\\252\times \dfrac{2}{9}= \\\\\\\boxed{56}[/tex]

Hope this helps!

Same with the other question we did, we are given the area of each tile which is 4 1/2in^2.

All we need to do it divide.

252 / 4.5 = 56

So, she would need 56 tiles in total.

Best of Luck!

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= [tex]\frac{1}{3} +\frac{1}{4}[/tex]

                                                 = [tex]\frac{7}{12}[/tex]

Actual money spent = [tex]\frac{7}{12}[/tex] * £636

                                  = £371

Money he has left = £(636 - 371)

                               = £265

Answer:

$265

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Hi there, let me show you how to answer this question.

If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.

Answer:

A

Step-by-step explanation:

[tex]\dfrac{21a^3-14a}{-7}= \\\\\\\dfrac{-7(-3a^3+2a)}{-7}= \\\\\\-3a^3+2a[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

140-105 gives you the angle of X, X is then 35

Answer:

x = 65°

Step-by-step explanation:

The 2 base interior angles are adjacent to the external angles and are supplementary.

180° - 105° = 75°

180° - 140° = 40°

The sum of the 3 interior angles of a triangle = 180°

Subtract the sum of the 2 known interior angles from 180 for x

x = 180° = (75 + 40)° = 180° - 115° = 65°

Answer:

Answer is below

Step-by-step explanation:

C = 5/9(F - 32)        This equation is used to convert from Fahrenheit to Celsius on the temperature scale.

An example is listed below

C = 5/9(32 - 32)             Subtract in the parentheses

C = 5/9(0)                       Multiply

C = 0                       When it is 32 degrees Fahrenheit, it is 0 degrees Celsius

Answer:

you answer the question

Step-by-step explanation:

hope this help

Answer:

14

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x , thus

(f - g)(2)

= 3(2)² + 2 = 3(4) + 2 = 12 + 2 = 14

Answer:

The expression to find Carey's hourly rate is: [tex]c = 2*a - 2[/tex]. Carey's hourly rate is $10.

Step-by-step explanation:

Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

[tex]a = \frac{c}{2} + 1[/tex]

We want to find the Carey's rate, therefore we need to isolate the "c" variable.

[tex]\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2[/tex]

Since Anderson earns $6, then we can find Carey's rate:

[tex]c = 2*6 - 2 = 12 - 2 = 10[/tex]

Answer:

A)

6 = c/2 + 1

Answer:

x = 2 y = 2

Step-by-step explanation:

just do equation form

Answer:

[tex]x=2[/tex] and [tex]y=2[/tex]

Step-by-step explanation:

To use Cramer's Rule, we first need to turn this system of equations into a matrix

[tex]A=\left[\begin{array}{cc}-1&-3\\2&4\\\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}-8\\12\\\end{array}\right][/tex]

The first step to use Cramer's Rule is to find the determinant of the original matrix

[tex]detA=(4)(-1)-(2)(-3)\\\\detA=-4+6\\\\detA=2[/tex]

Next, we need to replace column 1 of matrix A with b and then find the determinant of that matrix

[tex]A_1=\left[\begin{array}{cc}-8&-3\\12&4\\\end{array}\right][/tex]

[tex]detA_1=(-8)(4)-(12)(-3)\\\\detA_1=-32-(-36)\\\\detA_1=4[/tex]

And now we need to replace column 2 of matrix A with b and then find the determinant of that matrix

[tex]A_2=\left[\begin{array}{cc}-1&-8\\2&12\\\end{array}\right][/tex]

[tex]detA_2=(-1)(12)-(2)(-8)\\\\detA_2=-12-(-16)\\\\detA_2=4[/tex]

Now that all of this is done, we can find the values for our x matrix.

Recall that Cramer's Rule states that

[tex]x=\left[\begin{array}{c}\frac{detA_1}{detA} \\\frac{detA_2}{detA} \\\end{array}\right][/tex]

Now that we know all of the required determinants, we can find x

[tex]x=\left[\begin{array}{c}\frac{4}{2} &\frac{4}{2} \end{array}\right] \\\\x=\left[\begin{array}{c}2\\2\\\end{array}\right][/tex]

This means that the solutions to this system are [tex]x=2[/tex] and [tex]y=2[/tex]

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Learn more:

https://brainly.com/question/23021563

Answer:

The correct answer is -$1,209.85-verified by Edg. Thank you.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3+7i

Step-by-step explanation:

Answer:

Associative

Step-by-step explanation:

I got it on edge hope ur not as far behind as me boys

Answer:

(-3/7, 0)

Step-by-step explanation:

7x=2y-3

To find the x intercept, set y = 0 and solve for x

7x = 0-3

7x = -3

Divide each side by 7

7x/7 = -3/7

x = -3/7

The x intercept is

(-3/7, 0)

Answer: A

Step-by-step explanation:

For the x-intercept, we know y=0. We can eliminate B and D.

We know either A or C is the correct answer. This line is linear so there should be only one x-intercept. We can solve this equation to see which is correct. Let's plug in A and C into the equation to see which is right.

A. Correct

[tex]7(-\frac{3}{7} )=2(0)-3[/tex]

[tex]-3=-3[/tex]

C. Incorrect

[tex]7(\frac{3}{2} )=2(0)-3[/tex]

[tex]\frac{21}{2}\neq -3[/tex]

Answer:

  is not a rectangle

Step-by-step explanation:

The midpoints of the diagonals are ...

  AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

  BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.

Answer:

Below

Step-by-step explanation:

1. -4, -|2|, -1, |-3|, 4

2. -7.5, -7.2, 9.5, 10.5

3. 7

5. 13

6. -9

7. [tex]\frac{5}{12}[/tex]

8. -1.36

9. [tex]\frac{13}{5}*[/tex][tex]\frac{-4}{3}[/tex][tex]=\frac{-52}{15}[/tex]

10. -27.2

11. 22 * 2 + 7 * 0 - 5 * 1 = 39

Answer:

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

Solving any of the equation above gives: x=27

We therefore have:

[tex]\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|[/tex]

Let y be the total cost of x tickets

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

Answer:

A

Step-by-step explanation:

If the library is 3 miles east of the hall, and the mall is 10 miles west of the library, then do 10 - 3 to find the distance between the mall and hall, which is 7 miles.

The mall is also west of the city hall.

Answer:

a 7 miles west

Step-by-step explanation:

i took the test plz mark brainliest

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8

CLASS 8 SPOT TEST

1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?

2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?

3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?

4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.

5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?

Step-by-step explanation:

1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Only these 5 are even: 2, 4, 6, 8, 10.

The probability on an even number is 5 / 10 = 0.5 = 50%

2. The total number of balls is 10.

5 WHITE, 4 BLACK AND 1 BLUE

The probability on a black ball is 4 / 10 = 0.4 = 40%

3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.

Only these 3 are odd: 1, 3, 5.

The probability on an odd number is 3 / 6 = 0.5 = 50%

4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.

5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.

(The total should always add up to 100%).

Answer:

4

Step-by-step explanation:

[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]

Hope this helps!

Using composite functions, it is found that the equivalent expression at x = 5 is given by:

[tex](g \circ h)(5) = 4[/tex]

A composite function is when a function is used as an input to another function, hence, that is:

[tex](g \circ h)(x) = g(h(x))[/tex].

In this problem, we have that the functions are given as follows:

Then, the composite function is given by:

[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].

We want to find the value of the composite function at x = 5,  hence we have that:

(5 - 7)² = 4.

More can be learned about composite functions at https://brainly.com/question/17684028

#SPJ2

Answer:

27.5 degrees

Step-by-step explanation:

First, choose which method would work in this problem, SOH, CAH, or TOA.

We have opposite, O and adjacent, A. So we have an O and an A.

Thus, we should use TOA.

Tangent x = 44/84

Tangent x= 0.52

x= Tangent^-1 (0.52)

x=27.5 degrees

Answer:27.6

Step-by-step explanation:

Answer:

So first we have 10x = 0. We divide by 10 on both sides, so then we get x = 0. We still have 0 because 0/10 = 0.

So that means that the answer is

Answer:

? = 10

Step-by-step explanation:

2(5x+4)=8 - DISTRIBUTE

= 10x + 8 = 8

10x + 8 = 8

- 8

10x = 0

10x/10 = 0/10

x = 0

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

Answer:

B) Some patients who have a poor hospital experience also have post-surgical complications.

Step-by-step explanation:

It is only "some" because it isnt 50% or more

Answer:I'm gonna be doing a quadratic equation explaining step by step and using the formula so the example i'm gonna be using for today is

3[tex]x^{2}[/tex] +5[tex]x^{}[/tex]=7 I'm gonna answer the question then explain how i got the answer the i will explain to you  about the discriminant section

Step-by-step explanation:

So here is the explanation for the equation given above

One thing you need to know about quadratic equation is that there has to be a 0 on the other side of the equation given to you

3[tex]x^{2}[/tex]+5[tex]x^[/tex]-7=0

Therefore you have to group the numbers into a,b and c

a=3

b=5

c=7

Your'e gonna use a plus or minus sign like the one below

x=-(5)+[tex]\sqrt{}[/tex]5                                                                                                                                                                                                                                              

sorry i cannot understand it very well i tried though

         -