answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
STatiana [176]
2 years ago
8

Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +

10 + 2) What should Bart do to find the product? Select all that apply. Multiply 6(400) and multiply 10(2). Multiply 6(400), 6(10), and 6(2). Multiply 6(400) and then add (10 + 2). Multiply each addend by 6. Find the sum of (2400 + 60 + 12).
Mathematics
2 answers:
egoroff_w [7]2 years ago
5 0

Bart should;

Multiply 6(400), 6(10), and 6(2) ⇒ 2nd

Multiply each addend by 6 ⇒ 4th

Find the sum of (2400 + 60 + 12) ⇒ 5th

Step-by-step explanation:

Let us revise the distributive property

  • a(b + c) = ab + ac
  • a(b + c + d) = ab + ac + ad

Bart used place value and the distributive property to rewrite the

expression 6(412)

His work is shown 6(412) = 6(400 + 10 + 2)

We need to know what Bart should do to find the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply each number in the bracket by 6 in the right hand side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should to multiply each addend by 6 and then find the sum of

  (2400 + 60 + 12)

Bart should;

Multiply 6(400), 6(10), and 6(2)

Multiply each addend by 6

Find the sum of (2400 + 60 + 12)

Learn more:

You can learn more about the place value in brainly.com/question/120752

#LearnwithBrainly

Nat2105 [25]2 years ago
3 0

Answer:

A. Multiply 6(400), 6(10), and 6(2).    

E. Find the sum of (2400 + 60 + 12).

D. Multiply each addend by 6.

You might be interested in
Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 time
jasenka [17]
A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.

Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one.  By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.

b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1.  There are 5 possibilities out of a total of 36, or 5/36.

c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1.  There are 6 out of 36, or 6/36=1/6.  Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.

d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6

There are 6 ways out of 36, or 6/36 = 1/6.  Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
7 0
2 years ago
Read 2 more answers
Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration
kondaur [170]

Answer:

C. 160 minutes

Step-by-step explanation:

The calculation to be made will be to process 20 students

We have, according to the exercise, the following data:

For process 1: Registration table, Number of servers = 1, Time spent = 2 minutes

For process 2: cashier, number of servers = 3, time spent = 10 minutes

For process 3: ID processing station, number of servers = 4, time spent = 20 minutes

Demand rate = 0.125

To solve it, we will look for the capacity that the server has of the previously mentioned processes, calculating the following:

Capacity = Number of students served per minute

We can say that at the registration table we observe:

Time needed to serve 1 student = 2 minutes

Capacity = 0.5 students per minute

With the cashier we analyze the following:

Time needed to serve 1 student = 10 minutes

Number of servers = 3

Capacity = 0.3 students per minute

ID processing station

Time needed to serve 1 student = 20 minutes

Number of servers = 4

Capacity = 0.2 students per minute

When comparing the processes, it is definitely found that the bottleneck is the ID processing station, where it takes more time to serve a student, which leads us to infer that the capacity of the process is comparable to the capacity of the process bottleneck

Process capacity = 0.2 students per minute

Given, demand rate = 0.125 students per minute

We observe that the demand rate is less than the capacity of the process, therefore we can infer that the number of students served during each minute is the same as the demand rate.

In this way we find that:

Number of students served per minute = 0.125

Time needed to serve 1 student = 1 / 0.125 = 8 minutes

Time needed to serve 20 students = 8 x 20 = 160 minutes.

We conclude that the answer is that it will take 160 minutes to serve 20 students.

.

6 0
2 years ago
Read 2 more answers
At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st
EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = \frac{609}{58} = 10.5

Checking for ratios of the given options:

A. \frac{483}{42} =11.5

B. \frac{378}{28} =13.5

C. \frac{504}{48} =10.5

D. \frac{560}{56} =10

E. \frac{315}{30} =10.5

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0
2 years ago
Read 2 more answers
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
miv72 [106K]
F(1)=4(1+1+7)-2(1)+8-4
f(1)=36+2
f(1)=38

f(2)=4(2+2+7)-2(2)+8-4
f(2)=44

4 0
2 years ago
Lilly and Alex went to a Mexican restaurant. Lilly paid $9 for 2 tacos and 3 enchiladas, and Alex paid $12.50 for 3 tacos and 4
Tema [17]
Let's call Tacos t and Enchiladas e. 
Lily paid $9 for 2t and 3e
Alex paid $12.50 for 3t and 4e.
Thus the equations would be. 
2t + 3e = 9.00
3t + 4e = 12.50
4 0
2 years ago
Other questions:
  • In two or more complete sentences describe how to determine the appropriate model for the set of data, (0,2), (2,3), (5,4), (10,
    15·1 answer
  • Amal worked a total of 30 hours last week on Saturday and Sunday he worked 5 times and many hora than he worked the rest of the
    8·1 answer
  • Factorise fully <br> 6g + 8h
    12·2 answers
  • The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h
    7·1 answer
  • Gravity Hospital purchased a new item of equipment on January 1,20X1. The equipment has an estimated useful life of ten years an
    10·1 answer
  • 1250+27.50x=1400+20x
    5·1 answer
  • Matt looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one
    6·1 answer
  • A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit
    12·1 answer
  • The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are:
    10·1 answer
  • A drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!