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dlinn [17]
3 years ago
8

Find five consecutive integers whose sum is 195

Mathematics
2 answers:
ycow [4]3 years ago
7 0
n;\ n+1;\ n+2;\ n+3;\ n+4-five\ consecutive\ integers\\\\(n)+(n+1)+(n+2)+(n+3)+(n+4)=195\\n+n+1+n+2+n+3+n+4=195\\5n+10=195\ \ \ \ \ |subtract\ 10\ from\ both\ sides\\5n=185\ \ \ \ \ \ |divide\ both\ sides\ by\ 5\\n=37\\\\Answer:\boxed{37;\ 38;\ 39;\ 40;\ 41}
dimaraw [331]3 years ago
6 0
To do this, come up with three numbers. These are n, n+1, n+2, n+3, and n+4.

To solve, you do this:

n+n+1+n+2+n+3+n+4=195 \\ 5n+10=195 \\ 5n+(10-10)=(195-10) \\ 5n=185 \\  \frac{5n}{5} = \frac{185}{5} \\ n=37

Then, substitute 37 into the numbers:

n=37
n+1=37+1=38
n+2=37+2=39
n+3=37+3=40
n+4=37+4=41

The five consecutive integers are 37, 38, 39, 40, and 41.
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Y=x+5 and y=3x-3 I need to get this in a ordered pair
koban [17]

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Answer:

  (x, y) = (4, 9)

Step-by-step explanation:

Perhaps the ordered pair you want is the one that satisfies both equations.

We can find that by equating the expressions for y:

  x +5 = 3x -3

  8 = 2x . . . . . . . . add 3-x to both sides

  4 = x . . . . . . . . . divide by 2

  y = 4+5 = 9

The ordered pair is (x, y) = (4, 9).

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3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
weeeeeb [17]

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = \frac{-100}{20} = \frac{20}{-4} = - 5

the n th term formula ( explicit formula ) is

a_{n} = a_{1} r^{n-1}

here r = - 5 and a_{1} = - 4, hence

a_{n} = - 4 (-5)^{n-1} with n ≥ 1





4 0
3 years ago
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Find the equation for the linear function that passes through the points ( see photo)
Sidana [21]

Answer:

f(x) = (-4/5)*x + 4

Step-by-step explanation:

The line which passes through these points will decrease y by 12 for every x increase of 15. This is the same as decreasing y by 4 for every x increase of 5. This means the slope (rise over run) is -4/5. If this is applied to the first point to find what y is at 0, then the point (0, 4) is on the line.

This means that f(x) = (-4/5)*x + 4

6 0
2 years ago
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ella [17]

Answer: 0. 625 hour

Step-by-step explanation:

Given;

distance = 2 1/2 mile= 5/2 mile

speed = 4mile/hr

speed = distance /time

time = distance/speed

=5/2 / 4

= 5/2 × 1/4

=5/8

=0. 625 hour

we can convert to minute by simply multiplying by 60

Time taken (in minute) = 0. 625 × 60 = 38minutes

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3 years ago
T(w)=14,200+250, f(t)=25,000+40t find f(t(w))
pashok25 [27]

Answer:

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Step-by-step explanation:

f(t(w))=25000+40(14200+250)

f(t(w))=25000+40(14450)

f(t(w))=25000+578000

f(t(w))=603000

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