7.) Walter and Brian each have a CD collection.

Walter has x amount of CDs whereas Brian has 3 times the
number in Walter’s collection. The total number of CDs in both
collections is 144.

What is x, the number of CDs in Walter’s collection?

You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'

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In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.

For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.

Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.

To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

To find the time it takes for an amount to accumulate with compound interest, we can use the formula:

A = P(1 + r/n)^(nt)

where:

In this case, we have:

50000(1 + 0.20/1)^(1*t) = 86400

Dividing both sides of the equation by 50000, we get:

(1 + 0.20)^t = 1.728

Using logarithms, we can solve for t:

t = log(1.728) / log(1.20)

t ≈ 2.56

Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.

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Amy's conjecture can be improved by including a limit.  Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4).  But, any number less than one (excluding zero, but including negatives) will yield a smaller result.

Amy's conjecture should be

"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"

11 15/26 + [-17 5/13] =

[tex]11 \frac{15}{26} = \frac{301}{26}[/tex]

[tex]-17 \frac{5}{13} = -\frac{226}{13}[/tex]

[tex]\frac{301}{26} - \frac{226}{13}[/tex]

To subtract two fractions the denominators should be same

Least common denominator = 26

We multiply second fraction by 2

[tex]\frac{301}{26} - \frac{452}{26}[/tex]

[tex]\frac{301-452}{26}[/tex]

[tex]\frac{-151}{26}[/tex]

The 3 inside angles of a triangle equal 180 degrees.

You are given 23 and 8 for two of them.

Subtract the 2 given angles from 180 to find the 3rd angle.

3rd angle = 180 -23 - 8 = 149 degrees.

i think its        -8y + 12

Answer:

-8y + 12

Step-by-step explanation:

Its the one shaped like a V

To start off you need to figure out how much money each item costs.  Now get out your calculator because it will make this process go much faster.

EXAMPLE:

If your sodas cost $2.25 EACH you need to do the following math equation

2.25 X 3 = 6.75 witch is the total you would be paying in this situation.

HOT DOGS EXAMPLE:

Lets say that your hotdogs are $4.75 PER DOG. You just need to follow the same steps above.

4.75 X 2 = 9.5 but thats not how we write money so it would be $9.50

Hope this helps,

Daniel

Answer:

depends what price it is

Step-by-step explanation:

Yes it definitely is 720 degrees.

1 round= 360 degrees

2 rounds= 2 X 360 = 720 degrees

:-)

¾ + ( - 2 ½) = - 1 ¾

Answer:

A because you can only add values with the same variable. You add 2.3x plus 2x which gives you 4.3x then you subtract .2x which gives you 4.1. Lastly you add 15 and 14 which gives you 29

Step-by-step explanation:

Hello!

To write this equation we will use c to represent the total cost, and g to represent however many games you download.

c=12.49+0.99g

The constant rate is 12.49, that will never increase or change in our equation.

Depending on how many games you download, that will be the rate that affects our total cost.

If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.

the product

26 x 107=2,782

Answer:

2782

Step-by-step explanation:

I mean - accelerometers do, are you sure this is the correct place to post this question?

Answer:

James and Logan each are eating sandwiches. Logan finished his but then stole 1/3 of James' sandwich. James still has 5 times the parts of his sandwich then Logan. What fraction of a sandwich does Logan still have left?

Step-by-step explanation:

Logan stole 1/3 of James' sandwich resulting in Logan owning James 1/3 of a sandwich.

Okay this is simple.

We willl use this equation

$11.45×38.25=X

If you do this problem you should get $437.96 as an answer

*Remember that fractions can be changed to decimals. Fractions mean division.

If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.

A line of symmetry has equation x=-3.5 that is x+3.5=0.

Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:

[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]

Thus,

[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]

Answer: the distance is 5.5 units.

Answer:

5.5

Step-by-step explanation:

20(4×-2)

________

(4 - (-2))²

simplified;

20(-8)

_____

(6)²

simplified;

-160

______

36

simplified;

-4 16/36

simplified;

-4 4/9

Answer:

128 miles

Step-by-step explanation:

Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.

Let us represent y as total charges and x no of miles driven

Even if x=0, y= 25 (base fee)

SO y intercept =25

Slope = charge per drive = 0.10

So equation is

y =0.1x +25

To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.

y = 37.80 and x =?

37.80=0.1x+25

0.1x = 12.80

x = 12.80/0.1 = 128 miles

4000. 76 rounds to 80 and 46 rounds to 50 so 80 x 50 is 4000

x-intercept = 4, y-intercept = - 3

to find the intercepts, that is where the graph crosses the axes

let x = 0, in the equation for y- intercept

let y = 0, in the equation for x- intercept

x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept

y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept

Hey there...

So this is a tough question.....

Let's start with the x first, then we will go to y.

So, here is the x.

Explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.

3x-4(0)=12

x=4.

So the intercept for x = 4.

Now we have to do the y.

Explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.

3(0)-4y=12

y=-3

So the y = -3.

Hope this helps.....

1. 252 beacuse 21 x 12= 252

2. 3780 Now 252 x 15=3780

Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

The approximate distance around Lake C = 21 miles

Number of hiking days = 12

Hence, the number of miles hiked by Margot will be :

Keenan hiked 15 times as far as Margot :

Therefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

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4/10

6/15

18/45

8/20

16/40

Vertical angles are always equal.

So you can set the equation up like this:

5x + 10 = 7x - 12

Subtract 5x from both sides. Then Add 12 to both sides.

22 = 2x

Divide both sides by 2.

11 = x

Vertical angles are equal, so we set the expressions 5x + 10 and 7x - 12 equal to each other and solve for 'x', resulting in the value of 'x' being 11.

The student is asking about vertical angles, which are angles opposite each other when two lines cross. In this case, m angle E and m angle F are vertical angles with given expressions for their measures. According to the property of vertical angles, they are equal. This means we can set the expressions for their measures equal to each other and solve for 'x'.

The equations given are:

Since m angle E = m angle F, we write:

5x + 10 = 7x - 12

Now, let's solve for 'x':

So, the value of 'x' is 11.

"The sum of" means addition

Let "a number" = n

n + 8, or (A) is your answer

hope this helps

Final answer:

Zoey needs 168 carpet squares to cover her bedroom floor that measures 12 feet by 14 feet, since each carpet square covers 1 square foot.

Explanation:

Zoey wants to cover her bedroom floor with carpet squares where each square has an area of 1 square foot. Her bedroom measures 12 feet by 14 feet. To find out how many carpet squares she needs, we need to calculate the total square footage of her room by multiplying its length by its width.

The calculation will be:
Length × Width = 12 feet × 14 feet = 168 square feet.

Since each carpet square covers 1 square foot, Zoey will need a number of squares that equals the total square footage of her room. Therefore:

Total square footage = Number of carpet squares needed
168 square feet = 168 carpet squares needed.

Zoey will need 168 carpet squares to cover her bedroom floor completely.

(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8

When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.

(a^b)*(a^c) = a^(b+c)

Final answer:

The simplification of the expression [tex](2/3)^2\times (2/3)^6[/tex] is obtained by adding the exponents, resulting in [tex](2/3)^8[/tex].

Explanation:

To simplify the expression[tex](2/3)^2\times (2/3)^6[/tex], we need to remember the rule of exponents which states that when we multiply two powers with the same base, we add the exponents. So in this case, we have the base (2/3) and we will add the exponents 2 and 6 together.

[tex](2/3)^2 \times (2/3)^6 = (2/3)^{(2+6)} = (2/3)^8.[/tex]

To write the answer as a power, we simply keep the same base of 2/3 and use the sum of the exponents as the new exponent. Therefore, the simplified expression is written as a power: [tex](2/3)^8[/tex]