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2 years ago

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this

Mathematics

2 answers:

frozen [14]2 years ago

7 0

Answer (prediction, first edit):

5,600,000

Equation:

$200,000+(18,000*200)=5,600,000$

AlekseyPX2 years ago

4 0

200,000+(18,000*200) = 560,000

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ways to put 72 cookies into an equal amount of bags with more than 2 and less than 10 cookies in each bag

IceJOKER [234]

You can put 6 cookies in each bag with 12 bags in total.

Do, 72 Divided by 6 and you get 12.

Hope it helps

7 0

3 years ago

I think of a number, multiply it by 2, add 7 and the result is 10

timama [110]

Answer:

3/2

Step-by-step explanation:

if you multiply 3/2 by 2 and add 7 you will get 10.

3/2 * 2 = 3

3 + 7 = 10

5 0

3 years ago

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

5 0

3 years ago

find the value of the polygon. the polygon has 6 interior angles 2 of them are y and 4 of them are (2Y-20)

Anna35 [415]

First we need to determine what the 6 angles must add to. Turns out we use this formula

S = 180(n-2)

where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get

S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720

The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20, 2y-20, 2y-20, 

They add up and must be equal to 720, so let's set up the equation to get...

(y)+(y)+(2y-20)+(2y-20)+(2y-20)+(2y-20) = 720

Let's solve for y

y+y+2y-20+2y-20+2y-20+2y-20 = 720

10y-80 = 720

10y-80+80 = 720+80

10y = 800

10y/10 = 800/10

y = 80

Now that we know the value of y, we can figure out the six angles

angle1 = y = 80 degrees
angle2 = y = 80 degrees
angle3 = 2y-20 = 2*80-20 = 140 degrees
angle4 = 2y-20 = 2*80-20 = 140 degrees
angle5 = 2y-20 = 2*80-20 = 140 degrees
angle6 = 2y-20 = 2*80-20 = 140 degrees

and that's all there is to it

3 0

3 years ago

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians

Gennadij [26K]

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer:

<h3>Arc length is 11.30 feet</h3>

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = $\frac{2 \pi }{7}$ radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

$s = r \times \theta$

Where,

s is the arc length

r is the radius

$\theta$ is the central angle in radians

Substituting the values we get,

$s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30$

Thus, arc length is 11.30 feet

7 0

3 years ago