A class consists of 15 boys of whom 5 are prefects.
a) How many committees of 8 can be formed if each consists of exactly 2 prefects?

Answers

Answer 1

there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect


Related Questions

which expression is equivalent to 12^-5 times 12^9?
a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4

Answers

Answer:

D.  1/12^-4

Step-by-step explanation:

[tex]12^{-5}*12^{9}[/tex]

Since both exponents have the same base, we can add the exponents to get:

[tex]12^{-5+9}=12^{4}[/tex]

We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.

Now, let's try C and D.

C is wrong because it has a different base being raised to the same power.

D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.

The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.

Answer:

12^14

Step-by-step explanation:

It's the correct answer

If you don’t know the answer please don’t comment.

1.) Given f(x) = x3 + 1 and g(x) = −x + 1 what is the value of (fg)(−4)?

A.) 315

B.) -315

C.) 225

D.) -225

2.) Given f(x) = x2 + 1 and g(x) = 3x, find (fg)(x).

A.) (fg)(x) = x2 + 3x + 1

B.) (fg)(x) = 3x^2 + 1

C.) (fg)(x) = 3x^3 + 1

D.) (fg)(x) = 3x^3 + 3x

Answers

Answer: FOR NUMBER 2 (B)

Step-by-step explanation:

2. (fg)(x) = f (3x)

= (3x)2 + 1 = 3x^2 + 1 —> B

what fraction of earths atmoshere is made up of nitrogen?
NEED HELP NOW!!!!
WILL GIVE 40 POINTS!!!!

Answers

Answer:

im guessing it is 78/100 because u circled 78

Step-by-step explanation:

because 21 + 1 + 78 = 100

so 78/100 is the fraction

Answer:

78/100 or 39/50 (simplified)

Step-by-step explanation:

First, let's convert 78% into a decimal.

78% = 0.78

Now, we know that 0.78 is the same thing as 78/100. We can simplify 78/100 into 39/50, where 2 is the GCF

Thus, the answer is 78/100 or 39/50.

-6= -15r+9s. Solve for s

Answers

Answer:

(5r-2)/3 = s

Step-by-step explanation:

-6= -15r+9s

Add 15r to each side

-6+15r= -15r+15r+9s

15r-6 = 9s

Divide each side by 9

(15r-6)/9 = 9s/9

(5r-2)/3 = s

2) (Four students in a class do not have any siblings. This is 20% of the entire class.
How many students are in the class? HELPPP I HAVE A TEST TOMORROW THIS IS a test ) “solving percent with double number lines and mental math”

Answers

Answer:

16 students

Step-by-step explanation:

Knowing that 4 is 20% of a certain number is a great start. Think, how many times does 20 go into 100, 4. So then you multiply 4 with 4.

4 · 4 = 16

help help help help help help help

Answers

1- 1 1/2

2- 5.3

3-  t=5

t=15

t=6

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Can't see answer it's blank

Step-by-step explanation:

what is 2x+4>16
x>10
x>6
x<10
x<6

Answers

Heya!

2x + 4 > 16

2x > 16 - 4

2x > 12

x > 12 ÷ 6

x > 6

Hope it helps ya!

What is the equation of this line?

y= 2x - 3

y= -1/2x- 3

y= -2x - 3

y= 1/2x - 3​

Answers

Answer:

First option) y= 2x - 3

Step-by-step explanation:

[] The y-intercept, our b, is -3. This does not rule out any of the options as they all have -3.

[] The slope, when we have a graph with clear points, can be found with rise-over-run. We will pick a point and then count up and over to the next point.

-> Starting at the y-intercept, (0, 3), we count up 2 and to the right 1 for a slope of 2/1. This simplifies to 2.

[] Our equation is y = 2x - 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

111111111111111111111111111111111111111111111

Answers

Answer:

  40 in

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of a right triangle.

  b^2 +75^2 = 85^2

  b^2 = 85^2 -75^2 = 1600

  b = √1600 = 40

The length of the missing side is 40 inches.

answer: b= 40in
explanation is in the picture
hope this helps! (:

Patrick managed to sell the 20th most bicycles last year of all the salespeople at the company.He also managed to sell the 20th least bicycles last year of all the salespeople at that company.How many salespeople were there at that company?Assume that no one sold the same number of bicycles than another​

Answers

definitely missing a number so it's prolly something like

a/20=20

sorry if this doesn't help you didn't give us much to work on

Add or subtract each fraction

2 + 15/8

Answers

Answer:

3 7/8

Step-by-step explanation:

2 + 15/8 = 2/1 + 15/8

Let's add 2/1 + 15/8 like this:

2/1 × 8/8 = 16/8

16/8 + 15/8 = 31/8

Since that is an improper fraction, we will simplify it.

31/8 = 3 7/8

3 7/8 because the equation equals 3.875 and as a fraction it equals 3 7/8

someone please help with this question :)!

Answers

I think a) would be the answer. I proceeded by elimination: the domaine of the function goes from 3 and continues to infinity, so that leaves with a) and b) as possible answers. Both have the same range and both of their functions reflect over the x axis, so we have to compare the two answer by looking at the position of the function in the graph. The function is in the first quadrant (top right corner), so the position of the function has to be at our right, which leads us to a).

I’m confused, mostly on 4. How can you prove it, and are they parallel?

Answers

Answer:

It is parallel and yes you can prove it.

Step-by-step explanation:

I would use a tool that you can use to figure out the angle, check all the corners and if the smaller one are the same and the wider corners are the same then then would be parallel. That only works though if there was a line going through like your problems. If you had a graph it would be easier.

Please help I
Am struggling thank you

Answers

Answer:

1) X + 234 = 633

2) t = 63

3) x = 12

Step-by-step explanation:

1 is simple subtraction, just subtract the whole by the number that is given. Then that will fill X.

2 is multiplication. If a variable is (for example, x) next to a number that means it is multiplying it by a hidden number. To find that, you multiply the number next to the variable. If the sum matches the solution, there you go.

3 12 x 3 = 36. 12x 7 = 84. 84 + 36 = 120. Explanation #2 ^^

Hope I helped!! :)

Write the function represented by the table in f (x) = a • b ^x form.

Answers

Answer:

[tex]f(x)=32(1.3)^x[/tex]

Step-by-step explanation:

Here, the growth factor is 1.3 since 32(1.3)=41.6, 41.6(1.3)=54.08, and so on.

Therefore, the function that represents the table is [tex]f(x)=32(1.3)^x[/tex]

What is the quadratic equation whose roots are 2 and 6, and whose leading coefficient is 5

Answers

Answer:

5x^2-8x + 12

Step-by-step explanation:

the formula for finding roots of equation is

x^2- (sum of roots)x + products of roots =0

and we already have the roots of the equation

so we add them to give 8

and multiply to give 12

hence the quadratic equation that has those roots with leading coefficient is 5x^2-8x + 12=0

1. The sum of two numbers is 20.5. Their
difference is 6.5. Find the two numbers.

Answers

Answer:

13.5 and 7

Step-by-step explanation:

x + y = 20.5

× - y = 6.5

Hence,

x =20.5 - y

20.5 - 2y = 6.5

Hence,

2y = 14

and x = 20.5 - 20.5 - 7 = 13.5

Hope that helps :))

Answer:

The two numbers are 7 and 13.5

Step-by-step explanation:

Let the two numbers be x and y

Make 3 equations (for system of equation and substitution method)

Equation 1. x - y = 6.5

Equation 2. x = 6.5 + y

Equation 3. x + y = 20.5

Use the value of x in equation 2 to substitute x in equation 3.

6.5 + y + y = 20.5

Combine like terms

6.5 + 2y = 20.5

- 6.5 on both sides

2y = 14

Divide both sides by 2 to isolate y

y = 7

Substitute y in equation 3 to find x

x + 7 = 20.5

x = 13.5

Hope this helps :)

Have a great day!

f(x) = x2 + 12x +32

Find the roots of the function

Answers

Answer: Evaluate

Step-by-step explanation:

For which value or values are the expressions 15 k+9 and 3(2k+3)+9k

Answers

Answer:

3(5k+3), 6k+9+27k

Step-by-step explanation:

what is y and what does it represent

Answers

Answer: y is a variable and is represents an unknown number.

Step-by-step explanation:

y is a variable. It holds the place of number that we may not know just yet.

B
a
A
b
Find the missing side c if Angle B -45 and side a=13
Round your answer to the nearest hundredth if necessary.

Answers

Annfiidsidnnw I didn’t have a time I was going on with my dad so he didn’t have to work so he was just asking if he could do anything else and he said I was just

What are all the solutions of x2 + 3x4 07

Answers

Answer:

One could be just rewriting it in standard form

Step-by-step explanation:

3x^4+x^2+7

(^=to the power of)

5. Which of the following is not shown in the
figure at the right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
//

Answers

C.
(I’m pretty sure but if I’m wrong I apologize in advance)

A bag contains 4 red marbles, 3 blue marbles and 6 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?

Answers

Answer:

~0.143

Step-by-step explanation:

So, in total there are 15 marbles, and only 6 of them are red. So the first draw will have a  chance of being red. Since you didn't mention placing it back, the next draw will have a  chance of being red. It's  , because you just took a red one out of the bag (leaving 5 left) and the total was lessened by one. To get the answer, you'd multiply both numbers together.

6/15 x 5/14 = 1/7 or (roughly) 0.143

a group of 150 month grade students responded to a survey that asked which math course they were enrolled in.

Answers

Answer:

Step-by-step explanation:

Correct option is C)

19% of all the survey respondents implies we find out 19% of 310.

19% of 310=310×

100

19

=58.9 which is approximately equal to 59.

Seen from the table, 59 is the number of males taking geometry.

May someone please help me with these equations I am struggling thank you very much

Answers

Answer: see attachment

Step-by-step explanation:

help find area pls :(

Answers

Answer:

Total area = 26.13 ft²

Step-by-step explanation:

area of a triangle = 1/2 x base x height

From inspection, the base of the triangle = 3 x 2 = 6

and the height of the triangle = 4

⇒ area = 1/2 x 6 x 4 = 12 ft²

area of a semicircle = [tex]\frac{1}{2}\pi r^2[/tex]

⇒ area = [tex]\frac{1}{2} \times 3.14 \times 3^2[/tex]

⇒ area = 14.13 ft²

Total area = 12 + 14.13 = 26.13 ft²

You pick a card at random, put it back, and then pick another card at random.

2
3
4
5


What is the probability of picking a 3 and then picking a 3?

Answers

Answer:

0%

Step-by-step explanation:

Don't quote me on that but I'm pretty sure

#5 Solve the equation
below. Show all of your
work.
P-9= 13.52

Answers

Answer:

Try 22.52.

Step-by-step explanation:

P-9=13.52

-9+9 (Cancels)

13.52+9= 22.52

22.52-9= 13.52

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