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Brut [27]
3 years ago
7

If line a bisects MN at C and MN=12.4 , find MC

Mathematics
1 answer:
Nady [450]3 years ago
3 0
Obviously it would be 1/2 of MN since it bisects it.
Then MC - 6.2
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A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each
grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0
4 years ago
Which two ratios are equivalent to 10 : 12? 11:13 and 20:24 B. 10:12 and 11:13 C. 5:6 and 20:24
Readme [11.4K]

Answer: 5;6

Step-by-step explanation:

10 divided by 2 is 5

12 divided by 2 is 6 and plus I got this answer correct

6 0
4 years ago
Help would be much appreciated pic of question
Westkost [7]

Answer:

see attached

Step-by-step explanation:

The graph is a series of horizontal lines. A solid dot goes wherever there is an "or equal to" symbol in the inequality. An open dot goes where the point is not included in the function definition (but nearby points are).

7 0
3 years ago
Use logical equivalences (not a truth table) to reduce p → (q − p) to a tautology t. In other words, you should transform p → (q
schepotkina [342]

Answer:

The statement p\rightarrow (q\rightarrow p) is a tautology.

p\rightarrow (q\rightarrow p)\equiv \lnot p\lor (q\rightarrow p) \equiv \lnot p\lor (\lnot q\lor p) \equiv (p\lor \lnot p) \lor \lnot q \equiv T \lor \lnot q \equiv T

Step-by-step explanation:

We have the following statement:

p\rightarrow (q\rightarrow p)

To reduce the statement to a tautology we need to use the table of logical equivalences as follows:

p\rightarrow (q\rightarrow p)\equiv

\equiv \lnot p\lor (q\rightarrow p) by the the logical equivalence involving conditional statement.

\equiv \lnot p\lor (\lnot q\lor p) by the the logical equivalence involving conditional statement.

\equiv (p\lor \lnot p) \lor \lnot q by the Associative law.

\equiv T \lor \lnot q by the Negation law.

\equiv T by the Domination law.

7 0
3 years ago
scott has a travel book on each of four Hawaiian: Maui, Kauai, Hawaii, and Oahu. In how many different ways can these four books
Eddi Din [679]
Alphabetical
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4 years ago
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