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3 years ago

Write 29/9 as a mixed number.

2 answers:

4 0

To find 29/9 as a mixed number you need to find out how many times does 9 fit in 29

9
18
27
36

We see that it fits 3 time 3 is your whole #
We also see that 29 - 27 = 3 so you write like this:

3 3/9

The denominator of the original fraction does change

vodka [1.7K]3 years ago

4 0

The mixed number is 3 3/9 all u have to do is divide both numbers

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

110 hr =______d_______hr

Vera_Pavlovna [14]

The answer is 4 days & 14hrs, because a day has 24 hours, so 110 divided 24 equals 4 and an remainder of 14, so you get 4 days and 14 hours. If you can, plz mark mine the brainliest, and i would really appreciate it.
Hope it works.

5 0

3 years ago

The product of some negative number and 10 less than three times that number is 8 . find the num

Oksanka [162]

-x(3x-10)=8
-3x^2+10x=8 (DISTRIBUTE)
-3x^2+10x-8=0 (BALANCE TO ZERO)
(-3x+4)(x-2)=0 (FACTOR)
(-x+4/3)(x-2)=0 (SIMPLIFY)
{x=2 OR x= 4/3}

7 0

2 years ago

For what value of x is f(x) = 10?<br> (-1,6)(2,8)(3, 10) (5, 16)

Alex_Xolod [135]

Answer:

(3,10)

Step-by-step explanation:

From f(x)=10 you can see that the value of y,which is equal to f(x), is 10.

Therefore, the only option you could pick is that where y=10,which is the case for option (3,10).

7 0

3 years ago

You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of

worty [1.4K]

Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.

7 0

3 years ago