For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

The population 5 years from now would be 60482

The population growth rate is given as:

[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]

The value of t, 5 years from now is represented as:

t = 5

Substitute 5 for t in the function r(t).

So, we have:

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]

Evaluate the exponent

[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]

Evaluate the products

[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]

So, we have:

[tex]r(5) = 400(1 + \frac{10}{49})[/tex]

Divide 10 by 49

[tex]r(5) = 400(1 + 0.204)[/tex]

This gives

[tex]r(5) = 400(1.204)[/tex]

Expand

[tex]r(5) = 481.6[/tex]

The current population is given as 60000.

So, the population (P) 5 years from now would be

[tex]P = 60000 + 481.6[/tex]

[tex]P = 60481.6[/tex]

Approximate

[tex]P = 60482[/tex]

Hence, the population (P) 5 years from now would be 60482

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Answer:

19

Step-by-step explanation:

Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.

(3x - 5) + 90 + 2x = 180

5x + 85 = 180

5x = 95

x = 19

Answer:

Continuous

Step-by-step explanation:

Answer:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

Answer:

p/4

Step-by-step explanation:

You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4

Answer: its p/10

Step-by-step explanation: i just did it

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

Answer:

No

Step-by-step explanation:

These are the artists of each subject, not the general function of each genre.

Brainliest for

Answer:

Step-by-step explanation:

-3x + 6y = 11

Put into slope-intercept form to find the slope

6y = 3x + 11

 y = 3x/6 + 11/6

 y = ½x + 11/6

so slope is ½

perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2

the slope point form of the perpendicular line will be

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

(y - 3) = -2(x +2)

the slope intercept form will be

y = -2x - 4 + 3

y = -2x - 1

Answer:

24 pints

Step-by-step explanation:

if 1 gallon is = to 8

then 3 gallons is 24

There are 24 pints in 3 gallons.

To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.

Step 1: Calculate the number of pints in 1 gallon.

Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.

Step 2: Multiply the number of pints in 1 gallon by the number of gallons.

To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:

3 gallons × 8 pints/gallon = 24 pints.

Therefore, there are 24 pints in 3 gallons.

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Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Answer:

The choice 66

Step-by-step explanation:

[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x-4)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x+4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+4  = 0 and calculate its properties

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Pi = circumference / diameter.

Answer:

exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1  1/5

Step-by-step explanation:

Answer:

6/5, 1.2, or 1 1/5

Answer:

0..........5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/5 (d - 10) - 2/3 (d + 6)

=> 2d - 20/5 - 2d - 12/3

By taking LCM of 5, 3 = 15

=> 6d - 30/ 15 - (10d - 60/15)

=> 6d - 30/15 - 10d + 60/15

=> -4d + 30/15

Hope you understood!!

Answer:

I think it's B.

Step-by-step explanation:

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

Answer:

[tex]4xy[/tex]

Step-by-step explanation:[tex](40/10) *(x^-^4/x^-^5) * (y^6/y^5) \\=4*x*y=4xy[/tex]

Answer:

try for an answer: 6ab • (18ab + a - 6b)

Answer:

The slope is -2.

Answer is C

Answer:

the answer is c. -2

Step-by-step explanation:

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

Additional comment

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1