Evaluate the expression. 2 • 15

A drawer contains 12 identical white socks, 18 identical black socks and 14 identical brown socks. What is the least number of s

Bad White [126]

The only time you can be so certain that you have picked 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have picked 2 brown socks, you must pick all 12 white socks and all 18 black socks and only then you can pick 2 brown socks without looking. Therefore the total number of socks that should be picked is:

Total number of socks = 12 white socks + 18 black socks + 2 brown socks

Total number of socks = 32 socks

A total picking of 32 socks is required to be certain without looking that 2 brown have already been chosen.

4 0

3 years ago

Simplify the expression

marshall27 [118]

Answer:

$-3b^4/ a^6$

Step-by-step explanation:

8 0

3 years ago

In a certain apartment building the ratio of tenants to cars is 3:5. if there are 30 tenants, how many cars are there?

Fittoniya [83]

Answer:

I want to say 50 cars

Step-by-step explanation:

If i am correct, there are more cars than people overall:

tenants to cars

3:5

so when you have 30 tenants you can multiply the cars by ten because that is what you did on the other side.

6 0

4 years ago

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^{2}$

so

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^{2} -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^{2} -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

8 0

3 years ago

Read 2 more answers

28 Write 9 as a mixed number.

sasho [114]

Answer:

3 1/9

Step-by-step explanation:

when taking a fraction and making it a mixed number, you divide the numerator by the denominator. whatever you have left after dividing is your numerator, and denominator stays the same. hope this helps!

4 0

3 years ago

Evaluate the expression. 2 • 15 – 7 + 4