1. Find the sum of the series (IMAGE) . Show your work.
2. A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row below it. The display has six rows.
(a) Write and use a function to determine how many boxes are in the top row. Show your work.
(b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work.

3. The number of visitors to a website in the first week is 50. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 wk? Show your work.
Answer:

This is the result :7(x-6)(x-6)

The answer to this is the last option

Answer:

The correct answer is:

A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 3 crosses, Dog has 2 crosses, Rabbit has 1 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.

Step-by-step explanation:

The survey is given as:

Pet                Frequency  

Cats                 3

Dogs              2

Rabbits            1

Guinea Pigs 2

When we will draw a line plot where the horizontal axis denote the pet and the cross above the pet represent the number of pets.

Hence, as the frequency of cat is three so there will be three cross above cat.

Similarly as the frequency of dogs is two so there will be two cross above dogs.

the frequency of rabbits is one so there will be one cross above rabbit.

the frequency of Guinea Pigs is two so there will be two cross above Guinea Pigs.

5(3 - x) - 4(2 - 3x) > 2

15 - 5x - 8 + 12x > 2        distributed 5 and 4 on the left side

              7 + 7x > 2         added like terms (15 and -8) and (-5x and 12x)

            -7           -7

                  7x > -5

                  [tex]\frac{7x}{7} > \frac{-5}{7}[/tex]

                   [tex]x > \frac{-5}{7}[/tex]

$236.25 is how much money carrie got

$78.75 is how much juanita got

In case of inequalities we have following two rules.

Rule 1:

If we have just greater than > or less than < sign , then we would use open cirlce.

An open dot means the function has no definition at the specific point

Greater Than, >, and Less Than, <, mean the solution does NOT contain the number

Rule 2:

For inequalities. Greater Than or Equal TO, >, and Less Than or Equal TO, <, mean the solution does contain the number.

So in that case we will use closed circle.

Hope that helps.

Closed circle for the first one

Open circle for the second one

Answer: C

Step-by-step explanation:

Add like terms

    -1 + 6i

+   -4 + 2i

    -5 + 8i

ANSWER

The factory feels 65 bottles in one hour.

EXPLANATION

Total ounces processed in one hour.

[tex]=1,560[/tex]

Total ounces each bottle can take in one hour.

[tex]=24[/tex]

Number of bottles that can be filled in one hour

[tex]=\frac{1,560}{24}[/tex]

[tex]=65[/tex]

Therefore the factory fills 65 bottles in one hour.

Answer: The theoretical probability of choosing a tile with letter P =0.18

Step-by-step explanation:

Given word = MISSISSIPPI

Total number of letters in given the word = 11

Number of letter P in given word = 2

Let A be a event of choosing a tile with a letter P then

P(A) =Number of tiles with letter P / Total letters in given word

= 2 /11 = 0.18

The probability of choosing a tile with the letter P from the word 'Mississippi' is 1/11.

The probability of choosing a tile with the letter P can be calculated by determining the ratio of the number of P tiles to the total number of tiles.

In the word 'Mississippi', there is only 1 letter P. The total number of letters in 'Mississippi' is 11. Therefore, the probability of choosing a tile with the letter P is 1/11.

So, the theoretical probability of choosing a tile with the letter P is 1/11.

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This one has two parts, first we have to find out the speed to drive 660 miles in 12 hours.  Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.

Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.

Do the same thing 495/55.  That will give you your final answer.

495/55= 9

It will take him 9 hours to drive 495 miles at a rate of 55 mph.

Final answer:

Greg drives at a speed of 55 miles per hour. To drive 495 miles at this rate, it would take him 9 hours.

Explanation:

The question asks how long it would take Greg to drive 495 miles if he drove 660 miles in 12 hours. To solve this, we need to find his driving speed and then calculate how long it would take to drive 495 miles at that same speed.

First, we find the speed by dividing the distance traveled by the time:

Speed = Distance ÷ Time

Speed = 660 miles ÷ 12 hours = 55 miles per hour

Now that we know Greg drives at a speed of 55 miles per hour, we can calculate the time it would take him to drive 495 miles:

Time = Distance ÷ Speed

Time = 495 miles ÷ 55 miles per hour = 9 hours

Therefore, it would take Greg 9 hours to drive 495 miles at the same rate of speed.

c.

is the answer

The answer is C. 9*(5+6)=(9*5)+(9*6)

Answer:

c

Step-by-step explanation:

To find the new price of an item that has been reduced by a certain percentage, multiply the original price by the percentage (converted to decimal form) to find the discount. Subtract this discount from the original price to get the new price. Therefore, the new price of the item originally priced at $39 and reduced by 85% is $5.85.

This is a basic percentage problem in mathematics. The phrase 'reduced by 85%' implies that we are subtracting 85% of the original price from the original price itself. To find the discount, we multiply the original price by the reduction rate (in decimal form). Then, to get the final price, we subtract the discount from the original price. So, if the original price is $39 and the item has been reduced by 85%, then the discount would be $39. The calculation would look like this:

So, the new price of the item is $5.85.

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[tex]Q2.\\\\1.\ \text{All real numbers}\ \mathbb{R}\\\\2.\ \{1,\ 2,\ 3,\ ...\}\ \mathbb{N}\\\\3.\ \{...,\ -3,\ -2,\ -1,\ 0,\ 1,\ 2,\ 3,\ ...\}\ \mathbb{Z}[/tex]

[tex]Q3.\\5\ not\ \text{because it's not true}\ 5 < 5\ \text{and}\ 5 > 8\\\\7\ not\ \text{because it's not true}\ 7 < 5\ \text{and}\ 7 > 8\\\\8\ not\ \text{because it's not true}\ 8 < 5\ \text{and}\ 8 > 8\\\\9\ yes\ \text{because it's true}\ 9 > 8[/tex]

$12.80

sales tax = [tex]\frac{1}{2}[/tex] × $25.60 = $12.80

Answer:

the answer is:12 4/5=$12.80

Step-by-step explanation:

sales tax = 1/2 × 25 3/5 = $12.80

                         25.60        12 4/5

yes rachel is correct.

1 yd=3 ft. 115*3=345 ft

345>327 so rachel is correct.

Hope this helps!

Yes, Rachel is correct.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity.

Given that;

Rachel says that she ran 115 yards.

And, She went farther then Beth who only ran 327 feet.

Since, 1 yards = 3 feet

Then, 115 yards = 115 × 3 feet

                        =345 feet

Now, Rachel ran 345 feet.

And, Beth run 327 feet.

Since, 345 > 327

Hence, Rachel went farther then Beth.

So, Rachel is correct.

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1.  The inequality 8d ≤ 3000 when Andrew is renting a camera that cost d dollars per day for 8 days. He can only spend $3,000.

2. There are 5760 frames in that scene.

3. Andrew's footage ratio is 6, meaning he shot 6 times more film than what was eventually used in his 1 hour and 30-minute movie.

1. Let's create an inequality to represent Andrew's budget for renting the camera. The cost of renting the camera per day is represented by "d" dollars. He wants to rent it for 8 days, and his budget is $3,000.

The total cost of renting the camera for 8 days is 8d dollars. Andrew's budget is $3,000.

So, the inequality would be:

8d ≤ 3000

This inequality ensures that the total cost of renting the camera (8d) does not exceed his budget of $3,000.

2. To find the number of frames in a scene, we need to multiply the frame rate (frames per second) by the duration of the scene (in seconds).

Given:

Frame rate = 24 frames per second

Duration of the scene = 4 minutes

First, convert the duration to seconds since the frame rate is given in frames per second:

4 minutes * 60 seconds per minute = 240 seconds

Now, multiply the frame rate by the duration:

Number of frames = 24 frames/second * 240 seconds = 5760 frames

So, there are 5760 frames in that scene.

3. To find the footage ratio, we need to compare the amount of film shot to the amount of film used.

Film shot = 9 hours

Film used = 1 hour and 30 minutes

First, convert the film used to hours:

1 hour and 30 minutes = 1.5 hours

Now, divide the film shot by the film used:

Footage ratio = Film shot / Film used

Footage ratio = 9 hours / 1.5 hours

Footage ratio = 6

So, Andrew's footage ratio is 6, meaning he shot 6 times more film than what was eventually used in his 1 hour and 30-minute movie.

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First you need to distribute

2x-10=6x-x+8

Add like terms

2x-10=5x+8

Subtract 8 from each side

2x-18=5x

Subtract 2x from each side

-18=3x

Divide each side by 3

X=-6

2x-10=6x-x+8

2x-10=5x+8

add 10 to both sides

2x=5x+18

subtract 5x from both sides

-3x=18

divide each side by -3

x=-6

Answer:

1.  x= 4, 1, -1/2, -3

2. x= 3, 2+i , 2-i

The greatest number of tables needed to serve dinner to 55 guests, with each table having a different number of guests, is 10 tables.

To find the greatest number of tables needed to serve dinner to 55 guests so that each table has a different number of guests, we need to distribute the guests among the tables in a way that maximizes the number of tables. We can start by placing one guest at each table, then add one more guest to each subsequent table until there are no more guests remaining. This will result in the maximum number of tables, with each table having a different number of guests.

Let's see how this works:

After distributing the guests this way, we have used 10 tables, with each table having a different number of guests. Therefore, the greatest number of tables we could use to serve dinner to 55 guests, with each table having a different number of guests, is 10 tables.

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Answer:  The required missing number is 10.

Step-by-step explanation:  We are given to find the missing number in the following proportion :

[tex]?:14=15:21.[/tex]

Let the missing number be represented by x.

Then, according to the given information, we have

[tex]x:14=15:21\\\\\Rightarrow \dfrac{x}{14}=\dfrac{15}{21}\\\\\\\Rightarrow \dfrac{x}{14}=\dfrac{5}{7}\\\\\\\Rightarrow x=\dfrac{5}{7}\times14\\\\\Rightarrow x=10.[/tex]

Thus, the required missing number is 10.

Answer: Speed of local bus is 50 mph  and speed of express bus is 75 mph

Step-by-step explanation:

let say speed of local bus = x

so speed of express bus = x + 25

Distance = Speed × Time

Distance traveled by local bus  = x × 10.2 = 10.2x

Distance traveled by express bus = (x + 25) × 6.8

since Distance traveled by local bus is same as Distance traveled by express bus

⇒10.2x = (x + 25) × 6.8

⇒ 10.2x = 6.8x + 170

⇒ 10.2x - 6.8x = 170

⇒ x = 170/3.4 = 50

So Speed of local bus = x = 50 mph

and Speed of express bus =  x + 25 = 50 + 25 = 75 mph

Final answer:

The speed of the local bus is 50 mph and the speed of the express bus is 75 mph.

Explanation:

Let's define the speed of the local bus as 'x'.

The speed of the express bus is 25 mph faster than the speed of the local bus, so the speed of the express bus can be represented as 'x + 25'.

We know that the time taken by the express bus is 6.8 hours and the time taken by the local bus is 10.2 hours.

Using the formula Speed = Distance / Time, we can set up two equations:

Distance / 6.8 = x + 25  (equation 1)

Distance / 10.2 = x  (equation 2)

Since the distance is the same for both buses (Sacramento to San Diego), we can equate the distances in equation 1 and equation 2:

x + 25 = (10.2/6.8) * x

x + 25 = 1.5x

0.5x = 25

x = 50

Substituting the value of x in equation 1, we can find the speed of the express bus:

Distance / 6.8 = (50 + 25)

Distance = 6.8 * 75

Speed of the express bus = Distance / 6.8 = 75

So, the speed of the local bus is 50 mph and the speed of the express bus is 75 mph.

-19 < -30. You're welcome!!

Answer:

167

Step-by-step explanation:

I did my math check and got 167 hope its right :)

Pls make me brainliest

We know: The sum of the angles of each quadrilateral is 360°.

Therefore we have equation:

x + 3x + 4x + 2x = 360

10x = 360     |:10

x = 36

To find the total snow fall you would multiply the amount of snow per hour by the number of hours it snows:

Total = 3/4 inch per hour x hours: Total = 3/4h

h = 12 hours:

Total = 3/4(12) = 9 inches total.

Search up line bisector, i just wanna slap you, i know your mom thinks your a failure, such an idiot