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Mama L [17]
3 years ago
15

What is the product of −212 and −312 ? Enter your answer as a mixed number, in simplified form, in the box.

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

(-2 1/2)×(-3 1/2) = (2 1/2)×(3 1/2) . . . . deal with the signs up front. The product of two negatives is a positive.

... = 2×(3 1/2) + (1/2)×(3 1/2) . . . . . use the distributive property

... = 2×3 + 2×(1/2) + (1/2)×3 + (1/2)×(1/2) . . . . and again

... = 6 + 1 + 3/2 + 1/4

... = 7 + (1 1/2) + 1/4

... = 8 + 2/4 + 1/4

... = 8 3/4

_____

On your calculator, -2.5 × -3.5 = 8.75.

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lana [24]
I'm thinking b
or c is what i think hope i could help ^-^

3 0
3 years ago
Read 2 more answers
Lita has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the
inysia [295]

Answer:

The probability is 1/8

Step-by-step explanation:

In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH

Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.

Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each

Hence, P(H) = P(T) = 1/2

Now, we proceed to calculating the probability of HTT

this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8

8 0
3 years ago
Read 2 more answers
-11 2/3 x (-4 1/5)=?
qaws [65]

Answer:

49

Step-by-step explanation:

(-11\frac{2}{3} )  * (-4\frac{1}{5} ) = (-\frac{35}{3} )(-\frac{21}{5})

(-\frac{35}{3} )(-\frac{21}{5})=\frac{735}{15}

\frac{735}{15}=49

6 0
3 years ago
Help please!!!!!!!!!
ANEK [815]
The answer is (8,40.32)
4 0
3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
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