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rusak2 [61]
3 years ago
13

Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer

s (URGENT)
Mathematics
1 answer:
Otrada [13]3 years ago
3 0

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

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When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa
Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

x^2+x=87912

x^2+x-87912=0

x^2-296x+297x-87912=0

x(x-296)+297(x-296)=0

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297

5 0
3 years ago
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

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

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

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

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
Which multiplication equation can be used to solve 1/6 ÷ 5? ​
Anna [14]

Answer:

1/6 x 1/5 = multiplication equation

8 0
2 years ago
Ashley and her family ordered a meal that cost $20. Ashley paid 15% sales tax and left a
sammy [17]

Answer:

$26

Step-by-step explanation:

15+15 +30

30% of 20 is 6

add the tax and tip to the initial $20 and you have $26

6 0
3 years ago
Read 2 more answers
Determine the value of x
Artemon [7]

Answer:

21

Step-by-step explanation:

3 0
3 years ago
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