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vfiekz [6]
2 years ago
13

Eight times the sum of a number and -2 is the same as nine times the number. Find the number

Mathematics
1 answer:
Alik [6]2 years ago
5 0

Answer:

let \: the \: unknown \: number \: be \: x \\ 8 (x +  (- 2) = 9 \times x \\ 8  (x - 2) = 9 \times x \\ 8x - 16 = 9x \\  - 16 = 9x - 8x \\  - 16 = x \\ x =  - 16

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The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

f(t) = a (1 - r)^{t}

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

= \frac{3.2}{100}

= 0.032

Put in the formula

f(t) = 451400 (1 - 0.032)^{t}

f(t) = 451400 (0.968)^{t}

Therefore the decrease in the population of the city after t years is represented by

f(t) = 451400 (0.968)^{t}



5 0
3 years ago
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In one season a basketball team won 60 games and lost 20 games what are the ratios of games won to games lost
Nutka1998 [239]

Answer:  3:1

Step-by-step explanation: For every 3 wins, there is 1 loss. 60/20=3    20/20=1.

7 0
1 year ago
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How would you graph -x plus 2 thx
alexira [117]
F(x)= -x + 2

Plug in the X and you will find the Y
3 0
2 years ago
What is the arc measure of arc ​AB​​ on circle P in degrees?
Nastasia [14]

Answer:

measure of arc ​AB = 74°

Step-by-step explanation:

360 - 286 = 74

6 0
3 years ago
Write the equation 8y = 1/12 x – 0.8 in standard form. Identify A, B, and C.
PolarNik [594]

Answer:

The equation is 10x - 960y = 96

A = 10 , B = -960 , C = 96

Step-by-step explanation:

* Lets explain the standard form of the linear equation

- The standard form of the linear equation is :

 AX + BY = C , where A , B , C are constant

- A is a positive integer, and B, and C are integers

- The slope of the line is -A/B

- The y-intercept is C/A

- Lets solve the problem

∵ The equation of the line is 8y = 1/12 x - 0.8

- At first multiply the equation by 12 to make the coefficient of x integer

∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)

∴ 96y = x - 9.6

- Multiply the two sides of the equation by 10 to make 9.6 integer

∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)

∴ 960y = 10x - 96

- Add the two sides by 96

∴ 960y + 96 = 10x

- Subtract 960y from both sides

∴ 96 = 10x - 960y

∴ The standard form of the equation is 10x - 960y = 96, where

  A = 10 , B = -960 , C = 96

3 0
3 years ago
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