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AVprozaik [17]
3 years ago
5

Find 2 consecutive even integers such that twice the larger integer is four more than half of the smaller integer

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

0 and 2

Step-by-step explanation:

Let the two consecutive integers be 2x and 2x+2

We are given that twice the larger integer is four more than half of the smaller integer

2(2x+2)=\frac{1}{2}(2x)+4

4x+4=x+4

x=0

So, Two consecutive integers are 2(0)=0 and 2(0)+2=2

Hence the two consecutive integers are 0 and 2

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A town has a population of 2000 and grows at 4.5% each year. What will the population be after 13 years, to the nearest whole nu
77julia77 [94]

Answer:

<u><em>3544.392</em></u>

Step-by-step explanation:

The value of the total number of population is P=2000The value of the rate of interest isR%=4.5%The value of the time is T=13yrs

For compounded annually

n=1

The expression for the final value of the population after

13years is,A=2000(1+4.5100)13=3544.392

if you can give me brainliest that would be great

4 0
3 years ago
Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o
Fittoniya [83]
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
8 0
3 years ago
Solve the system of linear equations by elimination.<br><br> 4x−3y=8<br> 5x−2y=−11
AleksandrR [38]

Answer:

(-7, -12)

Step-by-step explanation:

4x-3y=8

5x-2y=-11

Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.

(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)

2(4x-3y=8)

-3(5x-2y=-11)

8x-6y=16

-15x+6y=33

(now the easy part… cancel the 6s and add the equations)

8x+(-15x)=-7x

16+33=49

-7x=49

(divide 49 by -7)

x=-7

Replace x in any of the equations and you’ll get the y value.

4x-3y=8

4(-7)-3y=8

-28-3y=8

-3y=36

y=12

Threfore, there is one solution which is….. (-7,-12)

7 0
2 years ago
Please help me with this
elena-s [515]

Answer:

9 p.m.

Step-by-step explanation:

Lowest common multiple (LCM) of 6 and 4.

LCM of 6, 4 = 2 × 2 × 3 = 12

After 12 hours 9 A.M. = 9 P.M.

After 12 hours at 9 P.M. she will take both medicines together again.

4 0
3 years ago
Which statement describes how to solve 3x+4 = 3x +4?
Kitty [74]

where are the statements so i can help

5 0
3 years ago
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