Alan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $38.70. Each CD had a tax of $1.10. What was the price of each CD before tax?​

Answer:

Step-by-step explanation:

5 miles = 8 km

Then:

Then 27.4 miles is:

Answer:

[tex] {2}^{2x + 2} + 8 = 33( {2}^{x} ) \\ = > ( {2}^{2x} \times {2}^{2} ) + 8 = 33( {2}^{x} ) \\ let \: {2}^{x} be \: m \\ = > 4 {m}^{2} + 8 = 33m \\ = > 4 {m}^{2} - 33m + 8 = 0 \\ use \: quadratic \: equation \\ m = \frac{- b \frac{ + }{} \sqrt{( {b}^{2} - 4ac)} }{2a} [/tex]

Answer:

It's a.

Step-by-step explanation:

15s*3+180＝225

30s*3+180＝270

60s*3+180＝360

30s*3+180＝270

Answer:

22m+42 is the answer

Step-by-step explanation:

All you have to do is simplify and add the common factors.

Answer:

[tex](5p + 11) + (8p - 4) \\ = ( 13p + 7)[/tex]

Answer:

my answer is a bit different but kinda similar ig.

254.34in^2

Step-by-step explanation:

Radius = Diameter/2          18/2 = 9

Area of circle= pi(3.14) x r^2

A= (3.14) x 9^2

A= (3.14) x 81

A= 254.34in^2

Answer:

I can confirm that the answer is 3(254.34 in.2). I did it on Odyssey

Step-by-step explanation:

Answer:

point B is in quadrant I and point D is in quadrant II

Step-by-step explanation:

Answer:

I think is The little (D) -12.4.

what r the tax amounts

Answer:

$15 dependant variable, month is the independent variable

Answer:

b

Step-by-step explanation:

because there only allowing the first 50 to register that would be a contest

The method which would not provide voluntary response is that at one of the team games, a person surveys the first 50 people who arrived at the game. Hence, option B is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

An ice hockey team is changing their team name as well as the mascot and would like to measure city support for the change to the method which would not provide a voluntary response sample is that at one of the team games, a person surveys the first 50 people who arrived at the game.

To know more about Expression:

https://brainly.com/question/14083225

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Answer:

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]

(a) Surface area of the bobble,

[tex]s=4\pi r^2[/tex]

So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]

The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]

By using equation (i)

The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]

[tex]=(1.04^2-1)\times 100[/tex]

=8.160%

Therefore, the percentage change in the surface area is 8.160%

(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]

So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]

Percentage change in the volume =

[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]

[tex]=(1.04^3-1)100[/tex] [by using equation (i)]

=12.486%

Therefore, the percentage change in the volume is 12.486%.

Given:

The function is

[tex]f(x)=\log_5(x)[/tex]

To find:

The graph of the given function.

Solution:

We have,

[tex]f(x)=\log_5(x)[/tex]

At x=1,

[tex]f(1)=\log_5(1)[/tex]

[tex]f(1)=0[/tex]        [tex][\because \log_a(1)=0, a>0][/tex]At x=5,

[tex]f(5)=\log_5(5)[/tex]

[tex]f(5)=1[/tex]      [tex][\because \log_aa=1][/tex]

So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.

Therefore, the correct option is A.

Answer:

A multiple is the product result of one number multiplied by another number.

Step-by-step explanation:

Multiples are what we get after multiplying the number by an integer (not a fraction).

Example:

3 × 4 = 12, so 3 and 4 are factors of 12.

Hope this helps!

have a great day/night :D

Answer:

F(2)=3

Step-by-step explanation:

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

e. After another 10 years (on the top of 5 given) the investment will be:

f. After 20 years the value of investment will be:

Answer:

139/150

Step-by-step explanation:

Let's make a list of the perfect squares.

1 4 9 16 25 36 49 64 81 100 121 144

The probability that one of these is drawn is 12/150 = 4/50 = 2/25

Take out 1. So that means there are 11 perfect squares.

11/150 are your chances of getting a perfect square.

1 - 11/150 = 139/150 that you will not get a perfect square.

I would have included 1 in the perfect squares, but the question says not to so you can't.

If the question did not mean that 1 should be excluded, then the answer is 23/25

Answer:

Step-by-step explanation:

Imagine the numbers are plotted on the number line.

Order on the number line which is from least to greatest:

Answer: step 4

Step-by-step explanation:

Error in the proof starts with the first mistake done. The erroneous step in the proof is given by: Option B: Step 6.

Sign changing in equation does by multiplying -1 on both the sides.

So, if we had [tex]a + b = c[/tex]

Then, its signs are changed as:

[tex]-1(a + b) = -1 \times c\\-a -b = -c[/tex]

For the given case, the mistake occurred during transition from step 5 to step 6. Step 6 is wrong as when sign was changed, sin of cos(θ) remain same, which makes step 5 and step 6 not equal to each other.

The correct proof would be like:

[tex]\rm \cos(2x) = 1- 2\sin^2(x)\\Let\: 2x = \theta\\\\Then: x = \dfrac{\theta}{2}\\\\\cos(\theta) = 1 - 2\sin^2(\dfrac{\theta}{2})\\-1 + \cos(\theta) = -2\sin^2(\dfrac{\theta}{2})\\\\1 - \cos(\theta) = 2\sin^2(\dfrac{\theta}{2})\\\\\dfrac{1-\cos(\theta)}{2} = \sin^2(\dfrac{\theta}{2})\\\\\sin(\theta) = \pm \sqrt{\dfrac{1-\cos(\theta)}{2} }[/tex]

Thus, the erroneous step in the proof is given by: Option B: Step 6.

Learn more about trigonometric functions here:

https://brainly.com/question/22599614

Answer:

The equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Step-by-step explanation:

Chad and Eric left a 20% tip after having lunch at a restaurant.

Cost of Chad Lunch = $10

Let Cost of Eric's lunch = x

So, Total cost of Chad and Eric's Lunch = x+10

Now, they left a 20% tip

it means 20% of total cost of lunch

20% can be written as 0.2

So, 0.2 of total cost of lunch is tip of the meal

We can write: 0.2 of (x+10)

or 0.2(x+10)

Looking at options, considering $5 was the amount of tip, the final equation will be:

[tex]0.2(x+10)=5[/tex]

So, the equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Answer:

2.50C +5.00A=95

Step-by-step explanation:

In this equation, C represents the number of children attending and the A represents the amount of adults attending.

Answer:

5/13

Step-by-step explanation:

by using SO TO CA

H A H

sin can be obtained

Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24

Answer:

hope my answer is helpful to you

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