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3 years ago

You are dealt one card from a standard 52 card deck find the probability of being dealt a king and a jack

Mathematics

1 answer:

OLga [1]3 years ago

7 0

Answer:

zjvmNxn

Step-by-step explanation:

sxcxz

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Find the greatest common factor of 12a^3b, 16a^2b^2, and 36ab^3

scoundrel [369]

Answer:

The greatest common factor of $12 a^{3} b, 16 a^{2} b^{2}, 36 a b^{3} \text { is } 4 a b$

Solution:

To find the greatest common factor we have to find the prime factors of individual numbers and then find the number which is common to each given number.

Here the numbers are $12 a^{3} b, 16 a^{2} b^{2}, 36 a b^{3}$

Let us find out the prime factors of each number .

$\begin{array}{l}{\text { Prime factors of } 12 a^{3} b=2 \times 2 \times 3 \times a \times a \times a \times b} \\ {\text { Prime factors of } 16 a^{2} b^{2}=2 \times 2 \times 2 \times 2 \times a \times a \times a \times b \times b} \\ {\text { Prime factors of } 36 a b^{3}=2 \times 2 \times 3 \times 3 \times a \times b \times b \times b}\end{array}$

We can see that $2 \times 2 \times \mathrm{a} \times \mathrm{b}$ is common to all the given numbers $12 a^{3} b, 16 a^{2} b^{2}, 36 a b^{3}$

Therefore the greatest common factor of $12 a^{3} b, 16 a^{2} b^{2}, 36 a b^{3} \text { is } 2 \times 2 \times a \times b=4 a b$

3 0

3 years ago

the sum of three numbers is 2100. the first number x is equal to the sum of the other two (y and z) which are equal to each othe

max2010maxim [7]

We will have a system of equations, and we are going to solve it by using substitution.
Let's make the equations.
x+y+z=2100
z+y=x
Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.
These are the equations now.
x+2a=2100
2a=x
Since the second equation is giving the value of x, let it replace the value of x also in the first equation.
2a+2a=2100
4a=2100
2100÷4= 525
so, x and y equal 525. Let's put this in our original equation.
x+525+525=2100
x+ 1,050= 2,100
x= 1,050
So, x=1,050, y= 525 =z.

7 0

3 years ago

Write in standard form (2×10³)+(4×10²)+(4×10¹)+(4×1) can somebody answer this please. c:

Romashka-Z-Leto [24]

Answer: 2,444

Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!

8 0

2 years ago

What is the area of this compound shape?

Paraphin [41]

Answer:

139.36

Step-by-step explanation:

first you do 8*8 because that would be the area of the square part

8*8=64

then find the area of the semicircle

first the Radis of it is 4 because 8/2=4

A=3.14R^2/2

3.14*4^2/2

3.14*16/2

50.24/2

25.12

now because there are 3 of the semicircles you do

25.12*3

75.36

then you add the 64 from the square to get your answer

75.36+64

139.36

6 0

3 years ago

Helllllllllllllllpppppppppp

Leona [35]

Answer:

bird, sea lion, fish

Step-by-step explanation:

-0.5 sea lion, -1.2 fish, 4.25 bird

8 0

2 years ago

Read 2 more answers