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garik1379 [7]
3 years ago
9

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho

w you got your answer?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0
Set up two equations.
s + 12 = l , s + l = 74     (these equations represent the problem)

 s + (s + 12) = 74           plug in "l" to the second equation.

2s + 12 = 74               combine like terms.

2s + 12 - 12 = 74 - 12     subtract to isolate the variable

2/2s = 62/2     divide to isolate the variable.

s = 31.       This means the smaller number is 31.

31 + 12 = 43.   since the larger number is 12 more than the smaller, add 12.

l = 43              the larger number has a value of 43.

small number = 31
larger number = 43

hope this helps! :D
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4. In a large community, 72% of the people are adults, 78% of the people have traveled outside the state, and 11% are adults who
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Answer:

a. The Venn diagram is explained in the attached word file.

0.61                                    

b. Not independent

Step-by-step explanation:

a. The hypothetical 1000 table for given situation is

                                          Adult(A)        Not Adult (not A)        Total

Travel outside (T)                 610                170                               780

Not Travel outside (not T) 110                110                               220

Total                                 720                280                               1000

P(Adult and travel outside)=P(A and T)=610/1000=0.61

b. Multiplication rule for independent events is

P(A and B)=P(A)*P(B)

P(A and T)=0.61

P(A)*P(T)=0.72*0.78=0.56

As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.

Download docx
4 0
3 years ago
If $850 is deducted each month for 12 months from your checking account to pay your mortgage, what impact will it have on your c
mylen [45]
The answer would be C. Hope it helps
5 0
3 years ago
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Can someone please help?
Alika [10]

Answer:

A. mean 71.33, median 86, mode 90 90 100 100, range 55

B. mean 79.41, median 36.5, mode 90, range 60

c. mean 73.16, median 2, mode 75 75 80 80, range 45

Step-by-step explanation:

mean is the average so add all numbers then divide by the number of number

mode is the number that is often seen

range subtract the smallest from largest or the other way around

median the middle number when lined all number from less to biggest  

4 0
3 years ago
Please help asap!!!!
igor_vitrenko [27]

Answer:

m\widehat {MP} =46\degree

Step-by-step explanation:

By inscribed angle theorem:

m\angle MQP=\frac{1}{2} \times \widehat {MP}

23\degree =\frac{1}{2} \times m\widehat {MP}

23\degree \times 2= m\widehat {MP}

m\widehat {MP} =46\degree

7 0
3 years ago
The difference of twice a number and 3 is 11
Softa [21]
Let's break this down:

The difference: Something's gotta be subtracted
Twice a number: So 2 times a number, or n
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is 11: The final answer is 11
So altogether is:

2n - 3 = 11
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