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sergiy2304 [10]
3 years ago
5

Find four consecutive integers whose sum is 114

Mathematics
2 answers:
bija089 [108]3 years ago
6 0

Answer:

the sum of 27,28,29,30 is 114

Step-by-step explanation:

omeli [17]3 years ago
3 0

Answer: 27, 28, 29 and 30

Step-by-step explanation:

The four consecutive numbers be n ,n+1 ,n+2 ,n+3. Their sum is 114.

Therefore, n+(n+1)+(n+2)+(n+3) = 114

4n+6=114

4n=108

n=108/4

n=27.

27+28+29+30 =114.

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What is 0.68 expressed as a fraction in simplest form? Both the 6 and the 8 repeat.
andreev551 [17]

Answer:

68/99

Step-by-step explanation:

.68686868686 repeating

Let x= .68686868668repeating

Multiply by 100

100x = 68.686868686repeating

Subtract x = .68686868repeating from this equation

100x = 68.686868686repeating

-x = .68686868repeating

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

99x = 68

Divide each side by 99

99x / 99 = 68/99

x = 68/99

3 0
3 years ago
Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
If a point has a negative x-coordinate, and its y-coordinate is positive, where does the point lie relative to the origin? Expla
Daniel [21]
      If a coordinate has a negative x-coordinate and its y-coordinate is positive, then the point  is on the 2nd quadrant.
      That means that the point is left of the origin and above it.
4 0
3 years ago
Please help me I'm a bit stuck on this problem.
bixtya [17]

5 times when all 5 times are up its 7:30 which if 3/4 of a hour which is 45 and is that time4learning?

7 0
3 years ago
Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465
disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is 3^{(x+2)}=15

We have to solve the above expression using change of base formula which is given as

\log _{b} a=\frac{\log a}{\log b}

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, x+2=\log _{3} 15

By using change of base formula,

x+2=\frac{\log _{10} 15}{\log _{10} 3}

x + 2 = 2.4649

x = 2.4649 – 2  = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0
3 years ago
Read 2 more answers
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