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Viktor [21]
2 years ago
5

The consecutive odd integers have a sum of 36. find the integers

Mathematics
2 answers:
svet-max [94.6K]2 years ago
5 0
<h3>Answer:  17 and 19</h3>

==================================================

Work Shown:

x = some integer

2x = even integer

2x+1 = odd integer

(2x+1)+2 = 2x+3 = odd integer just after 2x+1

The integers 2x+1 and 2x+3 add to 36

(2x+1)+(2x+3) = 36

2x+2x+1+3 = 36

4x+4 = 36

4x+4-4 = 36-4 ... subtract 4 from both sides

4x = 32

4x/4 = 32/4 .... divide both sides by 4

x = 8

With x = 8, we can say

2x+1 = 2*8+1 = 17 is the first odd integer

2x+3 = 2*8+3 = 19 is the next odd integer

17+19 = 36, so the answer is confirmed

--------------------

A non-algebraic way to get the answer is to divide 36 in half to get 18

Then try odd integers around 18, so 19+21 = 40 but thats too high

then maybe try 15+17 = 32, thats too low

17+19 = 36 is right on the money

DanielleElmas [232]2 years ago
4 0

how many consecutive odd integers are there, or else I can't help you

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3 years ago
A 24 ft ladder is positioned next to a house for window cleaning. The manufacturer recommends the ladder rest at an angle of 76°
Butoxors [25]

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Step-by-step explanation:

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8 0
3 years ago
Find A U B. please help much needed!
kvasek [131]

Answer:

A u B = {3,5,6,7,8,11,12}

Step-by-step explanation:

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6 0
3 years ago
Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and
g100num [7]

Answer:

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Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

A=LW

where

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W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd

substitute

A=(\frac{113}{6})(\frac{52}{5})

A=\frac{5,876}{30}\ yd^2

step 2

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The area of the rectangular piece of sod is

A=LW

where

L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd

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substitute

A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2

step 3

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To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

so

\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175

Round up

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8 0
3 years ago
50% of a number is x . What is 100% of the number? Assume x&gt;0 .
Usimov [2.4K]
I guess 2x ,as 50+50=100
8 0
3 years ago
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