the radius of a music CD is 6 centimeters. what is the circumfrence of a CD to the nearest tenth? use 3.14 for. pi

Answers

Answer 1

Answer:

The formula is 2*3.14*r

so 2*3.14*6=37.68

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Is the statement 14 square root less than 21 over 5 true or false

Answers

False it is roughly 3.74 so it is less than 5. Becuase $√(14) \neq 3.74$ if thats what ur asking lol

Suppose that 14 inches of wire costs 42 cents at the same rate how much will 37 inches of wire cost

Answers

Answer:

111

Step-by-step explanation:

divide 42 by 14 and get 3 then multiply 3 by 37 and get 111

Final answer:

To find out the cost of 37 inches of wire at the same rate as 14 inches, we can set up a proportion. Solving for x in the proportion yields a cost of 111 cents for 37 inches of wire.

Explanation:

To find out how much 37 inches of wire will cost at the same rate, we can set up a proportion. We know that 14 inches of wire costs 42 cents, so we can say that the cost is directly proportional to the length. The proportion can be written as:

14 inches / 42 cents = 37 inches / x cents

To solve for x, we cross-multiply and get:

14x = 37 * 42

Dividing both sides by 14 gives us:

x = (37 * 42) / 14

Calculating this out, we find that:

x = 111 cents

Therefore, 37 inches of wire will cost 111 cents.

Learn more about cost of wire here:

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A number is 1/7 another number. the difference of the number is 18. assume that you are subtracting the smaller number from the larger number. find the number

Answers

Answer:

21 and 3

Step-by-step explanation:

Let's call the small number $x$ and the larger number $y$ .

According to the problem:

$x=(1)/(7)y$

And when you substract the smaller number from the larger number you get 18:

$y-x=18$

substituting the first equation in the second one:

$y-(1)/(7)y=18(6)/(7)y=18\n y=(18*7)/(6) =3*7=21\ny=21$

the larger number is 21.

Using the first equation to find $x$ :

$x=(1)/(7)y\n x=(1)/(7) (21)\nx=3$

the smaller number is 3.

a = the smaller number
b = the larger number
a = 1/7 b
b - a = 18
b - 1/7b = 18
6/7b = 18
b = 21
a = 1/7 * 21
a = 3

What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?A.) Subtract 16 from both sides
B.)Add 6 to both sides
C.) Divide both sides by 5
D.) Multiply both sides by 2

Answers

9514 1404 393

Answer:

B.) Add 6 to both sides

Step-by-step explanation:

Actually, the first step is to look at the given equation and at what is being asked. The next step is to formulate a strategy for finding what is asked.

Here, the equation is ...

$(2)/(5)x-6=-16$

As part of our assessment of this, we notice that ...

x is multiplied by 2/5
6 is subtracted

We are asked for the first step to solve this equation. The usual strategy for solving such an equation is to undo the steps done to the variable, in reverse order. In the above assessment, we notice the last step is subtracting 6 from the product. So, our first step in finding the value of x is to undo that subtraction:

add 6 to both sides

Additional comment

We also notice as part of our assessment that the equation contains the fraction 2/5, which has a denominator of 5. If we choose to eliminate fractions as a first step in our solution strategy, we would multiply both sides by 5. Notice that this is not one of the offered choices.

Answer:

A) Add One-sixth to both sides.

Step-by-step explanation:

Please help. I'm stuck.

Answers

The root $√(10)$ can be converted into the power $10^{ (1)/(2) }$ . Therefore we can rewrite the problem as $(10^{ (1)/(2) } )^ {(3)/(4) x}$ and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes $10^{(3)/(8)x}$ , which then can be turned into $\sqrt[8]{10} ^(3x)$ , making the last option our answer.

14b=a then what is a

Answers

$14b=a|/14\nb=(a)/(14)$

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