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Mekhanik [1.2K]
3 years ago
10

Suppose the population of a certain city is 5831 thousand. It is expected to decrease to 5204 thousand in 50 years. Find the per

cent decrease.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

The percent decrease is approximately 10.75\%

(Don't know what you are expected to round to.)

Step-by-step explanation:

Percent change can be calculated by doing:

\frac{\text{original}-\text{new}}{\text{original}}

Then you multiply the result to covert it to a percentage.

Let's use this formula:

\frac{5831 \text{thousand}-5204 \text{ thousand }}{5831 \text{thousand}}

\frac{\text{thousand}}{\text{thousand}} \cdot \frac{5831-5204}{5831}

\frac{5831-5204}{5831}

\frac{627}{5831}

0.1075 approximately

Now the answer as a percent is 10.75\% approximately.

The percent decrease is approximately 10.75\%

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Natasha_Volkova [10]

Answer:

b=5

Step-by-step explanation:

2+b=7

Subtract 2 from each side

2+b-2=7-2

b= 5

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3 years ago
how tall are sally and anna if sally is 0.1m taller than anna and their combined height is 3.16 meters
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2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

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3 years ago
Which best summarizes Pythagorean Theorem
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Answer:

A^2 + B^2 = C^2

Step-by-step explanation:

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Solve each triangle - find any missing side and angle measures. Round answers to the nearest tenth.
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The sides of the right-angle triangle will be 16 units and 20.30 units. And the missing angle will be 52°.

<h3>What is a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The side AC will be

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Then the side AB will be

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We know that the angle sum is 180 degrees. Then we have

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More about the right-angle triangle link is given below.

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