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tankabanditka [31]
3 years ago
5

The sum of 3 consecutive integral numbers is 117. Find the numbers.

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

38, 39, and 40

Step-by-step explanation:

Let the three (3) consecutive integral numbers be:  

n  

n + 1  

n + 2  

Add the numbers together:  

n + n + 1 + n + 2  

Combine like terms:  

n + n + n = 3n  

1 + 2 = 3  

Therefore:  

3n + 3 = 117  

Subtract 3 from each side of the equation.  

3n + 3 - 3 = 117 - 3  

 

Combine like terms:  

3 - 3 = 0  

117 - 3 = 114  

3n = 114  

Divide each side by 3  

3n/3 = 114/3  

n = 38  

n + 1 = 38 + 1 = 39  

n + 2 = 38 + 2 = 40  

Check: 38 + 39 + 40 = 117  

The three (3) consecutive integral numbers are:  

38, 39, and 40.

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viva [34]
7k/3 = 21
x 3       x3
7k = 63
/7      /7
k = 9
(7(9)/3 = 21    =    63/3 = 21    =    21 = 21)
5 0
3 years ago
Read 2 more answers
A data analyst has spreadsheets numbered
algol [13]

Answer:

\frac{2}{9}

Step-by-step explanation:

{\textrm}{Total number of objects here} = 9

(2 spreadsheets, 3 databases and 4 presentations,

{\textrm}({Total} = 2+3+4 = 9)

{\textrm}{No. of databases with an odd number} = 2 {\textrm}{(databases with number 1 and 3})

As  not mentioned other wise equal chances of all the outcomes is assumed so, by the classical definition of probability,

P(The chosen item is a odd numbered database)

=\frac{2}{9}

8 0
3 years ago
A. (0,5)<br> B. (0,2)<br> C. (-1,3)<br> D. (-3,-1)
wolverine [178]

Answer:

(0,5)

x,y

Step-by-step explanation:

7 0
3 years ago
11 points<br> Please help me find the value of x
Bond [772]

Answer:

166°

Step-by-step explanation:

Let's label our triangle.

We'll name the left one, next to ∠x, ∠A.

The bottom one, next to the 97°, ∠B.

And the top one, ∠C.

We know what angle ∠A is because its a supplementary angle to the 97° one.

180° - 97° = 83°

We know that the triangle is isosceles, so that gives us ∠C as well. 83°

∠A is the last remaining angle.

The sum of the angles to our ΔABC is 180°.

∠A = 180° - ∠B - ∠C

∠A = 180° - 83°- 83°

∠A = 14°

∠x and ∠A are supplementary angles!

∠x = 180° - ∠A

∠x = 180° - 14°

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4 0
3 years ago
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Find the equation of the straight line that has slope m = -6 and passes through point (2, -7)
MAXImum [283]

Answer:

y

=

3

2

x

+

1

Explanation:

To find the slope  

(

m

)

of the straight line that passes through two points  

(

x

1

,

y

1

)

and  

(

x

2

,

y

2

)

apply:

(

y

1

−

y

2

)

=

m

(

x

1

−

x

2

)

In this example our two points are  

(

0

,

1

)

and  

(

2

,

4

)

Hence:  

(

1

−

4

)

=

m

(

0

−

2

)

−

3

=

−

2

m

→

m

=

3

2

The equation of a straight line in slope  

(

m

)

and intercept  

(

c

)

form is:

y

=

m

x

+

c

In this example:

y

=

3

2

x

+

c

Since the point  

(

0

,

1

)

is on this line  

→

1

=

0

+

c

Hence,  

c

=

1

∴

y

=

3

2

x

+

1

is our required straight line.

Step-by-step explanation:

3 0
3 years ago
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