(x-5.y-6) how do I solve?

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What is the circumference of a circle with the radius of 8.2 (round to the nearest hundredth)?

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C=2piR. C=2(3.14)(8.2). C=6.28(8.2). C= 51.496. But we have to round to the nearest hundredth which is the second place to the right of a decimal. So now C=51.50 (since 49+1=50) :) hope this helps

Simplify a - {5b - [a - (3b - 2c) + c - (a - 2b -c. ]}.
-a - 6b + 4c
a - 6b + 4c
a - 10b + 4c
-a + 10b + 4c

Answers

♥B)a - 6b + 4c

♥First you need to distribute the Negative Sign.

=a+−1(5b−(a−(3b−2c)+c−(a−2b−c)))

=a+−1(5b)+−1(−a)+−1(3b)+−1(−2c)+−1(−c)+−1a+−1(−2b)+−1(−c)

=a+−5b+a+−3b+2c+c+−a+2b+c

♥Now you need to Combine Like Terms:

=a+−5b+a+−3b+2c+c+−a+2b+c

=(a+a+−a)+(−5b+−3b+2b)+(2c+c+c)

=a+−6b+4c

♥and you get your final answer: a−6b+4c

Answer: B

Step-by-step explanation:

What is the absolute value of the complex number -4 - square root of 2iA) square root of 14
B) 3 square root of 2
C) 14
D) 18

Answers

The absolute value of the complex number $z=a+bi$ is $|z|=√(a^2+b^2).$

Consider the complex number $z=-4-√(2)i.$ For this complex number $a=-4$ and $b=-√(2).$

Therefore, the absolute value of this complex number is

$|z|=\sqrt{(-4)^2+(-√(2))^2}=√(16+2)=√(18)=3√(2).$

Answer: correct choice is B

A) square root of 14

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Answers

Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

Therefore the unknown solution is 36% acid.

Step-by-step explanation:

19. A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays an additional 8% sales tax. How much does the customer pay for the furniture?

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Answer: The customer pays $1108.08 for the furniture.

Step-by-step explanation:

1. Determine the selling price of the furniture.

2. Calculate the sales tax.

3. Add the sales tax to the selling price.

Step 1: Determine the Selling Price

The store manager increases the purchase cost by 125%. To find the selling price, we first calculate the increase:

$\[\text{Increase} = \text{Purchase Cost} * \frac{\text{Percentage Increase}}{100}\]\[$

$\text{Increase} = \$456.00 * (125)/(100) = \$456.00 * 1.25 = \$570.00\]$

Now, we add this increase to the original purchase cost to find the selling price:

$\text{Selling Price} = \text{Purchase Cost} + \text{Increase}\]\[\text{Selling Price} = \$456.00 + \$570.00 = \$1026.00$

Step 2: Calculate the Sales Tax

The customer pays an additional 8% sales tax on the selling price. To find the sales tax, we use:

$\[\text{Sales Tax} = \text{Selling Price} * \frac{\text{Sales Tax Percentage}}{100}\]\[$

$\text{Sales Tax} = \$1026.00 * (8)/(100) = \$1026.00 * 0.08 = \$82.08\]$

Step 3: Add the Sales Tax to the Selling Price

Finally, to find out how much the customer pays in total, we add the sales tax to the selling price:

$\text{Total Cost} = \text{Selling Price} + \text{Sales Tax}\]\[\text{Total Cost} = \$1026.00 + \$82.08 = \$1108.08$

The customer pays $1108.08 for the furniture.

If you subtract 12 from my number and multiply the difference by −3, the result is −60.

Answers

Answer:

Step-by-step explanation:

-60 + 12 = -48

-48 divided by -3 is 16

the answer is 16

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