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Paha777 [63]
3 years ago
13

Sum of the second and third consecutive odd integers, simplified

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always
2
2 times a number. Thus, the general form of an even number is
n
=
2
k
n=2k, where
k k is an integer.
If I am incorrect I am so sorry.:(
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95% of what number is 19?
Setler79 [48]
95% of 20 is 19

Convert your percentage into a decimal: 
\frac{95}{100} = 0.95

Divide 19 by your decimal:
19 \div 0.95 = 20
8 0
3 years ago
Read 2 more answers
Been a while since I’ve needed to not use a calculator. Why is -2X10^-18 (3/16) = 4.09X10^-19?
Anestetic [448]

Answer:

see the explanation

Step-by-step explanation:

we have

2.18*10^{-18}(\frac{3}{16})

we have that

\frac{3}{16}=0.1875

Convert to scientific notation

0.1875=1.875*10^{-1}

substitute

2.18*10^{-18}(1.875*10^{-1}})

Remember that

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

2.18*10^{-18}1.875*10^{-1}}=(2.18*1.875)*10^{(-18-1)}=4.0875*10^{-19}

Round the number 4.0875 two decimal places

so

4.0875*10^{-19}=4.09*10^{-19}

8 0
3 years ago
Reed uses 8 pieces of glass per square foot to make a stained glass window. How many pieces of glass will he need to make a wind
laiz [17]
To solve the problem posed in the statement we need to know the equivalence between squared foot and squared inches, and that is:
1 square foot = 144 square inches
So Reed uses 8 pieces of glass per 144 squared inches as well.
Now we can use a rule of three, simple and direct proportion to solve the question, it goes like this:
144 squared inches ------> 8 pieces glass
864 squared inches ------> x

x = (864)(8)/144
x = 48
Hence, Reed will use 48 pieces of glass to make a window that is 864 square inches.
8 0
3 years ago
Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)
soldi70 [24.7K]

Answer:

<h2>x\leq -  \frac{8}{15}</h2>

Step-by-step explanation:

<h3>2x \leq -  \frac{2}{7} (8x + 8)</h3>

<u>First of all multiply through by 7</u>

We have

<h3>14x\leq - 2(8x + 8)</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>14x\leq - 16x - 16</h3>

<u>Add 16x to both sides</u>

That's

<h3>14x + 16x\leq16x - 16x - 16 \\30x\leq - 16</h3>

<u>Divide both sides by 30</u>

We have the final answer as

<h3>x\leq -  \frac{8}{15}</h3>

Hope this helps you

5 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
jonny [76]
First, we find the slope of the given line.

<span>3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

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y + 2 = (3/4)(x + 4)     <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4    <------ this is choice B.
</span>
8 0
3 years ago
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