All categories

4 years ago

Show me how to find the answer to 6x1/3

Mathematics

2 answers:

mamaluj [8]4 years ago

7 0

Answer:

Step-by-step explanation:

Simplify. Remember to follow PEMDAS and the left-> right rule.

In this case, multiply the whole number (6/1) with the numerator (1)

6 x 1 = 6

Next, simplify by dividing 6 with 3:

6/3 = 2

2 is your answer.

Natasha2012 [34]4 years ago

3 0

Answer:

Step-by-step explanation:

6 times 1 is 6 and 6 divided by 3 is 2.

if the / is a fraction, then the answer is still the same.

You might be interested in

If the price of cola increased by 18%, how much increase per 12-pack of cola

TEA [102]

Answer:

the price would be $3.93

Step-by-step explanation:

18%of 3.33 is .6 so just add that to the original amount

7 0

3 years ago

What is the y-intercept of the line y=-3x+7?

Juli2301 [7.4K]

Answer: 7

Step-by-step explanation:

To find the y intercept replace x with 0.

y=-3(0) + 7

y = 7

4 0

4 years ago

Read 2 more answers

Needing help, the secretary of the united states department of agriculture asked your teacher, "if a chicken-and-a-half can lay

Flura [38]

we are given that

3 chickens to lay 32 eggs

now, we can find number of eggs per chicken

number of eggs per chicken= (total eggs)/(total chicken)

so, we get

number of eggs per chicken is

$=\frac{32}{3}$

now, we can set up following

1.5 chicken : 1.5 eggs : 1.5 days

3 chickens : 3 eggs : 1.5 days

1 chicken : 1 egg : 1.5 days

Since, changing number of chicken won't affect time

time to lay eggs will always remain same

so,

for 1 chicken to lay $=\frac{32}{3}$ eggs

it takes

$=\frac{32}{3}*1.5 days$

$=16 days$ ..............Answer

8 0

3 years ago

The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and t

Tamiku [17]

0.2×2+3.6-9 = -5

-5 = profit p

4 0

3 years ago

Find the imaginary part of\[(\cos12^\circ+i\sin12^\circ+\cos48^\circ+i\sin48^\circ)^6.\]

iren [92.7K]

Answer:

The imaginary part is 0

Step-by-step explanation:

The number given is:

$x=(\cos(12)+i\sin(12)+ \cos(48)+ i\sin(48))^6$

First, we can expand this power using the binomial theorem:

$(a+b)^k=\sum_{j=0}^{k}\binom{k}{j}a^{k-j}b^{j}$

After that, we can apply De Moivre's theorem to expand each summand: $(\cos(a)+i\sin(a))^k=\cos(ka)+i\sin(ka)$

The final step is to find the common factor of i in the last expansion. Now:

$x^6=((\cos(12)+i\sin(12))+(\cos(48)+ i\sin(48)))^6$

$=\binom{6}{0}(\cos(12)+i\sin(12))^6(\cos(48)+ i\sin(48))^0+\binom{6}{1}(\cos(12)+i\sin(12))^5(\cos(48)+ i\sin(48))^1+\binom{6}{2}(\cos(12)+i\sin(12))^4(\cos(48)+ i\sin(48))^2+\binom{6}{3}(\cos(12)+i\sin(12))^3(\cos(48)+ i\sin(48))^3+\binom{6}{4}(\cos(12)+i\sin(12))^2(\cos(48)+ i\sin(48))^4+\binom{6}{5}(\cos(12)+i\sin(12))^1(\cos(48)+ i\sin(48))^5+\binom{6}{6}(\cos(12)+i\sin(12))^0(\cos(48)+ i\sin(48))^6$

$=(\cos(72)+i\sin(72))+6(\cos(60)+i\sin(60))(\cos(48)+ i\sin(48))+15(\cos(48)+i\sin(48))(\cos(96)+ i\sin(96))+20(\cos(36)+i\sin(36))(\cos(144)+ i\sin(144))+15(\cos(24)+i\sin(24))(\cos(192)+ i\sin(192))+6(\cos(12)+i\sin(12))(\cos(240)+ i\sin(240))+(\cos(288)+ i\sin(288))$

The last part is to multiply these factors and extract the imaginary part. This computation gives:

$Re x^6=\cos 72+6cos 60\cos 48-6\sin 60\sin 48+15\cos 96\cos 48-15\sin 96\sin 48+20\cos 36\cos 144-20\sin 36\sin 144+15\cos 24\cos 192-15\sin 24\sin 192+6\cos 12\cos 240-6\sin 12\sin 240+\cos 288$

$Im x^6=\sin 72+6cos 60\sin 48+6\sin 60\cos 48+15\cos 96\sin 48+15\sin 96\cos 48+20\cos 36\sin 144+20\sin 36\cos 144+15\cos 24\sin 192+15\sin 24\cos 192+6\cos 12\sin 240+6\sin 12\cos 240+\sin 288$

(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)

A calculator simplifies the imaginary part Im(x⁶) to 0

4 0

3 years ago