1answer.
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
VikaD [51]
3 years ago
6

URGENT!! HELP! 25 POINTS FOR THESE QUESTIONS!

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

You might be interested in
Sandy used benchmarks to estimate that there are more inches than feet in one yard. IS SANDY'S ESTIMATE REASONABLE
goblinko [34]
Yea she's right because she's suicidal
8 0
3 years ago
Explain how to use the unit rate to make a table​
xxTIMURxx [149]

Answer:

to make a unit rate using a table you would take an input/output from a table and convert it into a fraction. Then you would take that fraction and simplify it. Sometimes you might have to choose a new input/output in order to make the simplification easier.

Example-

2:4

4:8

6:12

8:16

        Turn one into a fraction

4/8

       Simplify

1/2

7 0
3 years ago
Plz answer the whole question and u will get 15 points
s344n2d4d5 [400]
10.5 ounce package- $3.51
29.3 ounce package- $3.67
It is better to buy a 10.5 ounce package
3 0
3 years ago
Read 2 more answers
Find the angles marked with with letters​
Sever21 [200]

Answer:

<A=67⁰

<B=22⁰

<C=42⁰

<h2>Mark me BRAINLIEST </h2>
7 0
3 years ago
Read 2 more answers
It took Sharon 105 minutes to wash three cars and put everything away. If she spent 10
shtirl [24]
Well that would be 105 - 10. If you spent 105 minutes in total and 10 of that was putting your stuff away, take that 10 minutes away and you’d get 95. So, she spent 95 minutes washing 3 cars in total. If you divide that 95 into 3s, you get rounded 31 minutes each.
3 0
3 years ago
Other questions:
  • Roger goes to a restaurant with Cathy. They order an appetizer of calamari for $8. Roger has a glass of red wine for $4 and Cath
    10·1 answer
  • If measure of angle X = 34° and measure of angle Z = 26°, what is the measure of angle Y
    11·1 answer
  • Jamie bought 15 apples. he ate 3 apples. what percentage of the apples did jamie eat?
    12·2 answers
  • Seniors at a certain high school took a survey regarding future plans. All plan to attend college some time; however, 77% plan t
    11·1 answer
  • 0 2. What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
    13·1 answer
  • PLS HELP I WILL DO ANYTHING!!!!
    6·1 answer
  • How do I find question number 43
    6·1 answer
  • Which is the equation of a line with a slope of -- 2 that passes through the point (-2,0)?
    15·1 answer
  • At Trendy Tailor Boutique's annual end-of-season sale, every necktie in the
    11·1 answer
  • Hi anyone can help me :) i have no idea how to do it . pls help me thx​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!