QUICK QUICK QUICK QUICK PLEASE! 1 MIN ONLY! 4 QUESTIONS TO ANSWER PLEASE ANSWER THEM IN ORDER WITH A EXPLANATION! NOTE: READ CAREFULLY!

1 QUESTION) A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of multiplication problems to total problems?

Type your answer as a fraction in simplest form.

2 QUESTION) A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of division problems to total problems?

Type your answer as a fraction in simplest form.

3 QUESTION) A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of division problems to multiplication problems?

Type your answer as a fraction in simplest form.

4 QUESTION) A math test has 12 multiplication problems and 24 division problems.

What is the ratio value of multiplication problems to division problems?

Type your answer as a fraction in simplest form.

(1.) 1/3

(2.)2/3

(3.) 2:1

(4.) 1/2

Step-by-step explanation:

(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3

(2.) 24 div. problems and 36 totals so 24/36 =2/3

(3.) 24 div and 12 mult =24/12 or 2/1

(4.) 12 mult and 24div =12/24=1/2

question 1: 1/3

question 2: 2/3

question 3: 2/1

question 4: 1/2

Step-by-step explanation:

question 1: there are 36 total problems and only 12 multiplication problems so 12/36=1/3

question 2: there are 36 total problems and only 24 division problems so 24/36=2/3

question 3: there are 12 multiplication problems and only 24 division problems so 24/12=2/1

question 4: there are 24 division problems and only 12 multiplication problems so 12/24=1/2

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12