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3 years ago

The area of a circle is 4π square kilometers. What is the radius? Write your answer in simplest form.

Mathematics

1 answer:

Mariana [72]3 years ago

7 0

Answer:

2 km

Step-by-step explanation:

4π = π × r²

r² = 4

r = 2

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Write (27a^-3)^-2/3 in simpleset form

Luden [163]

Answer:

a²/9

Step-by-step explanation:

(27a⁻³) (-⅔) = 27^(-⅔) × (a⁻³)^(-⅔)

= (3³)^(-⅔) × a²

= 3⁻²a²

= a²/9

4 0

3 years ago

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A scooter can travel between 22 and 28 miles on each galon of gasoline. If one gallon costs between 3.75 and 3.95per gallon abou

pashok25 [27]

673784%8483is the correct answer

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3 years ago

Simplify −2xy + 3x − 2xy + 3x and can you explain the answer?

irina1246 [14]

Answer:

$-4xy+6x$

Step-by-step explanation:

Given : Expression = $-2xy+3x-2xy+3x$

Simplifying the expression :

Step 1. Write the expression = $-2xy+3x-2xy+3x$

Step 2. Add the similar elements: $3x+3x=6x$

= $-2xy-2xy+6x$

Step 3. Add the similar elements: $-2xy-2xy=-4xy$

= $-4xy+6x$

Therefore, $-4xy+6x$ is the simplified form of $-2xy+3x-2xy+3x$

8 0

3 years ago

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Please help me I really need help

Oliga [24]

Answer:

Step-by-step explanation:

(1) 2x - 6y = -12

(2) x + 2y = 14

There is a -6y and a +2y. Since they have opposite signs, I'll try to eliminate the y terms. (That's my choice. There is more than one way to solve these.)

Multiply eq. (2) by 3:

3x + 6y = 42

Then add the result to eq. (1) to eliminate the y terms:

2x - 6y = -12

3x + 6y = 42

------------------

5x = 30, so x = 6

Now plug the value of x into eq. (2) and solve for y:

6 + 2y = 14

2y = 8

y = 4

Why did I use eq. (2) to solve for y? Because it's less work. I could have used eq. (1) instead:

2(6) - 6y = -12

12 - 6y = -12

-6y = -24

y = 4

More than one way to solve.

5 0

3 years ago

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0

4 years ago

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