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snow_lady [41]
4 years ago
12

The sum of three consecutive odd numbers is 159. What is the smallest of the three numbers ?

Mathematics
1 answer:
natta225 [31]4 years ago
6 0

Since we don't know where to start, we can always give that a variable which in this case, it's X. Since we are finding the sum of three consecutive odd numbers, we will be skipping numbers so we can add 2 each time. Now, let's set up an equation.

<h2>X + X + 2 + X + 4 = 159</h2><h2 /><h2>3x + 6 = 159</h2><h2>       -6     -6   ← subtract 6 on both sides</h2><h2 /><h2>       3x = 153</h2><h2>       ÷3     ÷3   ← divide both sides by 3</h2><h2 /><h2>          X = 51</h2><h2>          X + 2 = 53</h2><h2>          X + 4 = 55</h2><h2 />

Therefore, the smallest of our three consecutive integers is 51.

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What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8?
o-na [289]

Answer:

0.40

Step-by-step explanation:

to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8

Let A = sum of dice is 8

B = one lands in 5

P(B/A) = P(AB)/P(A) by conditional probability

P(AB) = sum is 8 and one is 5

So (5,3) or (3,5)

P(A) = sum  is 8.

i.e. (2,6) (2,6) (3,5) (5,3) (4,4)

Required probability

= n(AB)/n(A)

=\frac{2}{5} =0.40

4 0
3 years ago
Find the amount erica owes at the end of 6 years if $60000 is loaned to her at a rate of 4% compounded monthly
RSB [31]

Answer: $76,244.51

Step-by-step explanation:

You need to use the compound interest formula here.

First of all however, you need to convert the terms to monthly figures because the interest is compounded monthly.

4% in months = 4 / 12 = 4/12%

6 years = 6 * 12 = 72 months

Now use the compound interest formula:

= Amount * (1 + rate) ^ number of years

= 60,000 * ( 1 + 4/12%) ⁷²

= $76,244.51

4 0
3 years ago
Find the value of x by factoring x^2-9x-36=0
Citrus2011 [14]
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8 0
2 years ago
This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
V125BC [204]

Answer:

There are 60 monkeys in the Zoo

Step-by-step explanation:

3 0
2 years ago
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Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?
Ulleksa [173]

Answer:

The answer is

<h2>\frac{3}{5}  \\</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

m =  \frac{8 - 2}{6 + 4}  =  \frac{6}{10}  =  \frac{3}{5}  \\

We have the final answer as

\frac{3}{5}  \\

Hope this helps you

7 0
4 years ago
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