Sally's basic cable plan costs $55 a month and an additional $3 for each premium channel.
Cable plan B costs $60 and an additional $2.50 for each premium channel. Which plan is
cheaper if Sally wants to order 10 premium channels?

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

[tex]\frac{12-x}{18} =\frac{x}{6}[/tex]

Cross multiply:

[tex]6(12-x) = 18x[/tex]

Distribute the '6':

[tex]72-6x = 18x[/tex]

Combine like terms and simplify:

[tex]72 = 24x[/tex]

[tex]x = 3[/tex]

Therefore, the length of CD is 3.

Answer:

141414

Step-by-step explanation:

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

[tex]b+p=30\\b+3p=50[/tex]

We can solve for the unknown "p" by subtracting term by term in the equation set above:

[tex]b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10[/tex]

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

[tex]b+p=30\\b+10=30\\b=20[/tex]

So, it takes 20 minutes to print a banner.

(Just and Example so it'll kinda explain it.)

Example A

How many ways can 5 students sit in a row?

Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.

5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.

More Guidance

The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.

To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.

Answer: (1 + x) (1 - x)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula a^2 + b^2 = (a+b)(a-b) where a = 1 and b = x (1 + x) (1 - x)

Answer:

Step-by-step explanation:

Answer is x^12

first law of indices

Answer:

x4^3

Step-by-step explanation:

the answer would be cubed so x4 cubed

Answer:

Any number that is a whole number not a fraction or decimal

Step-by-step explanation:

Answer:

y=-3x+4

y=mx+b

m is the slope

b is the yint

Answer:

y= -3x+4

Step-by-step explanation:

Answer:

range

Step-by-step explanation:

difference between the highest and lowest points in a data set = range

The mean is the average of all the points

The median is the middle of  all the points

The mode is the point the appears the most often

"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"

Online song that's helped me remember the difference between median, mode, mean and range for years!

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                    = 64π

                                                    = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

Answer:

a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

[tex]\frac{1}{2} :\frac{3}{4} = \frac{1}{2} *\frac{4}{3} =\frac{1}{a} *\frac{b}{c} \\\\\frac{1}{2} *\frac{4}{3} =\frac{2}{3} =\frac{d}{e}[/tex]

a=2, b=4, c=3

d=2, e=3

Answer: a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

Answer:

25 sin 42 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

Answer:

1260 degrees

Step-by-step explanation:

Answer:

b.  105.12 in²

Step-by-step explanation:

A= 1/2 πr² +ab

Answer:

5

Step-by-step explanation:

4a + 6b = 24

6a - 12b = -6

Rewrite the first equation below. Divide both sides of the second equation by 2 and write below the first equation. Then add the equations.

      4a + 6b = 24

+     3a - 6b = -3

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

      7a         = 21

Divide both sides by 7.

a = 3

Now substitute 3 for a in the first equation and solve for b.

4a + 6b = 24

4(3) + 6b = 24

12 + 6b = 24

6b = 12

b = 2

a = 3, and b = 2

a + b = 3 + 2 = 5

Answer: 5

Answer:

160

Step-by-step explanation:

Is means equals and of means multiply

24 = 15% * N  where N is the unknown number

Change to decimal form

24 = .15 N

Divide each side by .15

24/.15 = .15N/.15

160 = N

Answer:

160 because 15% of 160 is 24 meaning 24 is 15% of 160

Step-by-step explanation:

Answer:

120 Tickets

Step-by-step explanation:

Band rues charges $950 to play all night.

DJ phoria charges $350 plus $5 for each ticket sold.

(a)The graph is attached.

From the point of intersection of the two lines, the number of tickets for which the cost of the band and the DJ would be equal is 120 tickets.

(b)

Given the two linear equations

y=950

y=350+5x

Therefore:

950=350+5x

950-350=5x

5x=600

x=120

Therefore, the number of tickets at which the cost of the band and the DJ would be equal is 120, just as obtained above.

Answer:

see below

Step-by-step explanation:

Let's call the angles 2x, 3x, 5x and 8x and since the sum of angles in a quadrilateral is 360 degrees we can write:

2x + 3x + 5x + 8x = 360

18x = 360

x = 20 which means the angle measures are 40°, 60°, 100° and 160°

Answer:

40°,60°,100° and 160°

Step-by-step explanation:

First add all the ratio's together

2 + 3 + 5 + 8 = 5 + 13 = 18

Now we utilise the fact that angles in quadrilaterals add up to 360. We form an equation like this 18x = 360 to find the value of x and then substitute back into the ratio's

18x = 360

→ Divide both sides by 18 to isolate x

x = 20

Multiply 20 by each of the ratio's to find the angles of this quadrilateral

2 × 20 = 40

3 × 20 = 60

5 × 20 = 100

8 × 20 = 160

So the angles of a quadrilateral with the ratio of 2: 3 : 5 : 8 is 40,60,100 and 160

Answer:

Step-by-step explanation:

Properties of a bar graph:

1). There should be equal space between the bars or the columns.

2). Width of each bar or columns should be same.

3). All bars should have same base.

4). Height of each bar will show the value of the data.

By these properties,

- Space between London-Paris, Rome-Oslo are not equal.

- Width of Munich bar is different from other bars.

Answer:it’s C

Step-by-step explanation:

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula:  A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

Step-by-step explanation:

it's called the origin.

hope this helps :))

Answer: 6 inches

Step-by-step explanation:

If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)

18 ÷ 3 = 6

Answer:

6 trust me i had this on my assignment...

Step-by-step explanation:

Answer:

(a) 720

(b) 180

Step-by-step explanation:

We are given 10 numbers (1,2,3,4,.....,10).

(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.

Number of ways to choose the 1st number = 10

Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)

Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)

Total number of ways of choosing 3 unique numbers = [tex]10 \times 9 \times 8 \Rightarrow 720[/tex]

(b)

Number of ways of choosing 1st number = 10 (no restrictions)

Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)

Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.

So, number of ways to choose 3rd number = 2

the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =

[tex]10 \times 9 \times 2 \Rightarrow 180[/tex]

Hence, the answers are:

(a) 720

(b) 180

Answer:

a) 4.18330013267

b) 7.65643191324

Step-by-step explanation:

Use the calculator to find out the values.

√17.5

=4.18330013267

2.3²+√5.6

5.29+2.36643191324

=7.65643191324

Answer:

a 4.1833

b 7.656

hope its helpful

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

Answer:

It would be

a plus 4 divided by 7

Step-by-step explanation:

Answer:

"the sum of a and 4 divided by 7"

Step-by-step explanation:

This is "the sum of a and 4 divided by 7."

Answer:

I think its D. im not sure.