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Anastasy [175]
2 years ago
6

The larger of two numbers is 7 less than twice the

Mathematics
1 answer:
Flauer [41]2 years ago
4 0

Answer:

The two numbers are 29 and 18

Step-by-step explanation:

Let x and y be the two numbers

x = 2y-7

x+y = 47

We have two equations and 2 unknowns

Substituting the first equation into the second equation

2y-7+y = 47

Combine like terms

3y -7 = 47

3y-7+7 = 47+7

3y = 54

Divide by 3

3y/3 = 54/3

y = 18

Now find x

x = 2y-7

x = 2*18 -7

x = 36-7

x = 29

The two numbers are 29 and 18

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Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would e
MrRissso [65]
I think 2,057.21 because 18,541.89 divided by 9 is 2,057.21
5 0
3 years ago
Read 2 more answers
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro
Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

So, number of ways to select 3 plants out of 7 = C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

5 0
2 years ago
Given the system of equations, what is the solution?
fredd [130]

The solution for the given equations  x + 3y = 5 and x - 3y = -1 are x=2 and y=1.

Step-by-step explanation:

The given is,

           x+3y=5......................................(1)

           x-3y=-1....................................(2)

Step:1

         By elimination method,

        Subtracting Equations (1) and (2),

                     x+3y=5

                     x-3y=-1

             ( - )

           ( x-x ) + ( 3y+3y ) = ( 5 +1 )

                                       6y = 6

                                         y = 1

Step:2

        Substitute the value of y in equation (1),

                             x+3y=5

                       x + ( 3 × 1 ) = 5

                                      x = 5-3

                                      x = 2

Step:3

        Check for Solution,

        Substitute the values of x and y in Eqn (1),

                                  x+3y=5

                           2 + ( 3 × 1 ) = 5

                                         5 = 5

Result:

       The solution for the given equations  x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.

7 0
3 years ago
A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales incr
likoan [24]

Step-by-step explanation:

$44,550

7 0
2 years ago
A survey among American adults concluded that 20% of adults believe Elvis is still alive, 10% believe they've been abducted by a
Kitty [74]

Answer:

P(Alive\ or\ Aliens) = 26\%

Step-by-step explanation:

Given

P(Alive) = 20\%

P(Aliens) = 10\%

P(Alive\ and\ Aliens) = 4\%

Required

Determine P(Alive\ or\ Aliens)

From laws of probabilities:

P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)

In this case:

P(Alive\ or\ Aliens) = P(Alive) + P(Aliens) - P(Alive\ and\ Aliens)

P(Alive\ or\ Aliens) = 20\% + 10\% - 4\%

P(Alive\ or\ Aliens) = 26\%

7 0
2 years ago
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