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Svetradugi [14.3K]
3 years ago
7

The sum of two consecutive integers is 31. find the larger number

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

Consider the intergers as, x and x+1

x+(x+1)=31

2x+1=31

2x=30

x=15

So, (x+1)=(15+1)=16 would be larger number.


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romanna [79]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0
3 years ago
Help please?? <br><br>Answer:
Sveta_85 [38]
1. Yes, a regular hexagon can be drawn using rotations.
2.To find the answer, first find the number of sides of a hexagon. A hexagon has six sides.
Divide 360 by 6 = 360/6=60 degrees.
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3 0
3 years ago
Mr. &amp; Mrs. Thompson drove 300 miles in October. They drove 2 times as many miles in December as they did in October. They dr
Marina86 [1]

Answer:1200 miles

Step-by-step explanation:

Given

Mr. and Mrs. Thompson drove 300\ miles in October

They drove 2  times as many miles in December

so they drove 2\times 300=600\ miles in December

In November they drove 2 times as many as in december

=2\times 600=1200\ miles  

So they drive 1200 miles in November

7 0
3 years ago
A survey found that 12 out of 30 people preferred bacon over sausage. According to this survey, what percent of people prefer ba
postnew [5]

Given

A survey found that 12 out of 30 people preferred bacon over sausage.

Find out the  what percent of people prefer bacon over sausage.

To proof

As given in the question

survey found that 12 out of 30 people preferred bacon over sausage.

Total number of people = 30

people preferred bacon over sausage = 12

Formula

Percentage =\frac{Part}{Total} \times 100

put the value in the formula

Percentage\ of\ prefer\ bacon\ over\ sausage = \frac{12}{30} \times 100

solve the above

percent of people prefer bacon over sausage = 40 %

Hence proved


3 0
3 years ago
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