What is the greatest possible product of a 2 digit number and a 1 digit number?

A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif

ZanzabumX [31]

Answer:

8190 ways

Step-by-step explanation:

Given

$Teachers = 6$

$Students = 15$

Selection

$Students = 4$

$Teachers = 5$

Required

Number of ways of selection

4 students can be selected from 15 students in:

$Students= ^{15}C_4$

Similarly.

5 teachers can be selected from 6 teachers in:

$Teachers= ^{6}C_5$

So, the required number of selection is:

$Selection = ^{15}C_4 * ^6C_5$

Apply combination formula:

$Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}$

$Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}$

$Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}$

$Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}$

$Selection = \frac{32760}{24} * 6$

$Selection = 1365 * 6$

$Selection = 8190$

8 0

3 years ago

Y = 5x - 10 Can you solve for x

tensa zangetsu [6.8K]

Answer:

$x = \frac{1}{5}y + 2$ or $x = \frac{y+10}{5}$ (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: $y = 5x-10$

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> $y + 10 = 5x$ (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> $\frac{y+10}{5} = x$

4) You can keep it as is so --> $x = \frac{y + 10}{5}$

or you can divide "y" by 5 and "10" by 5 and get --> $x = \frac{1}{5} y + 2$

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

6 0

3 years ago

Read 2 more answers

Given f(x) = 6x^4 – 10x^3 + 40x – 50, find f(2)

ASHA 777 [7]

F(x)=6x^4-10x^3+40x-50, plug 2 in for x
f(2)=6(2)^4-10(3)^3+40(2)-50
f(2)=12^4-30^3+80-50
f(2)=20735-27,000+80-50
f(2)=-6,235

4 0

3 years ago

Create an equation with one solution of x = −4.

katen-ka-za [31]

Answer:

What is missing is -5x - 20

Step-by-step explanation:

To find this, simply solve for the parenthesis as if it were a variable of its own. This will allow you to see exactly what is missing.

8x - (x - 20) = 2x - (_______)

8x - x + 20 = 2x - (_______)

7x + 20 = 2x - (_______)

5x + 20 = - (_______)

-5x - 20 = (_______)

So the answer for the parenthesis is -5x - 20

3 0

3 years ago

The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the

REY [17]

Answer:

B: 54 square feet

Step-by-step explanation:

There are 3 feet in 1 yard. The scale model is 6 square yards.

Multiply 6 by 3 to get the amount of square yards.

There are 18 square yards in the actual playground.

Since there are 3 feet in a yard, multiply 18 by 3.

This gives you your answer:

54 square feet

6 0

3 years ago

Read 2 more answers