MATHEMATICS HIGH SCHOOL

Find the quotient.
48a 3 bc 2 ÷ 3abc
16a4b2c 3
16a2c
18a2c
16ac2

Answers

Answer 1
Answer:

Answer: 16a^2c

Step-by-step explanation:

Given division problem: 48a^3bc^2/48a^3bc^2

It can be written as :

(48a^3bc^2)/(3abc)

Since,  48=3*16

Divide 3 from numerator and denominator we get,

(16a^3bc^2)/(abc)

The division law of exponent says that

(a^m)/(a^n)=a^(m-n)

Therefore, (16a^3bc^2)/(abc)=16a^(3-1)b^(1-1)c^(2-1)=16a^2b^0c^1=16a^2c

Hence, 48a^3bc^2/48a^3bc^2=16a^2c
Answer 2
Answer: 48a^3 bc^2 / (3abc) = 16a^2c

Related Questions

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Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points:(11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2) He uses the following steps to plot the graph: 1.Label origin as (0, 0). 2.On x-axis, label Temperature in Fahrenheit. 3. On y-axis, label Temperature in degrees Celsius. 4.The scale on x-axis starts from 0 and goes up to 700 at intervals of 20. 5.The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.
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When n is divided by 12, the remainder is 6. What is the answer when n is divided by 6?

Given the trinomial, what is the value of the coefficient 'B' in the factored form?2x2 − 12xy − 32y2 = 2(x − 8y)(x + By)

B= ____________

Numerical Answers Expected!

Answers

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

2

Step-by-step explanation:

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’ scores. The first three judges’ scores were 83, 88, and 92. The figure skater made it to the next round. What is the minimum score the fourth judge could have given? Enter your answer in the box.

Answers

It would be 83+88+92+x/4 = 90

263 +x = 360

x = 360-263

x=97

Answer:

97 :)

Step-by-step explanation:

Find the perimeter of a rectangle whose width is 5 cm and diagonal is 13 cm. (Please show the steps and answer it really fast!!)

Answers

Answer:

....se attachment

Perimeter =2(length+width)

we calculate the length

ADC right triangle in D

AC = diagonal: 13cm

AD = width: 5cm

pythagoras to calculate DC

DC²=AC²-AD²

DC²= 13²-5²

DC=√144 = 12cm

we calculate the perimeter:

P=2(12+5)=2*17=34cm

Step-by-step explanation:

Sam’s Music Store wanted to take a survey of the age range of people that visited the store. Over the course of a week, they asked 40 people their age as they walked in. Below is a box plot of the collected data. Answer the following questions about the box plot in relation to the problem. 1.When Sam’s assistant was collecting the data she mistakenly noted that the oldest person was 48. The oldest person was actually 50. How will this affect the box plot?

Answers

A box plot contains 5 number summary. The information gathered from the box plot are:
1) minimum number
2) 1st quartile
3) median
4) 3rd quartile
5) maximum

Since the box plot of the collected data is not shown, I can only say that the maximum number will be affected by the error.

maximum number of 48 should have been maximum number 50.

If 3(y-1) = y -5. y = ____________.

Answers

Answer:

-1 is the answer

Step-by-step explanation:

the question is 3(y-1)=y-5

so, we open the bracets and multiply

so it becomes 3y-3 = y-5

now, we transpose

3y-y =-5+3

2y = -2

y= -2/2 = -1

Answer:

y = -1

Step-by-step explanation:

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Hope this helps.

Can anyone PLEASE HELP WITH THIS QUESITON?!??!

Answers

Answer:

13

Step-by-step explanation:
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