What’s the explicit equation for 100, 80, 60, 40

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To find the explicit equation for an arithmetic sequence, we can use the formula:

a_n = a_1 + d(n - 1)

where a_n is the n-th term of the sequence, a_1 is the first term of the sequence, and d is the common difference. Plugging in the values for this sequence, we get:

a_n = 100 + (-20)(n - 1)

Simplifying, we get:

a_n = 120 - 20n

This is the explicit equation for the sequence 100, 80, 60, 40, … You can use this equation to find any term of the sequence by plugging in the value of n. For example, to find the fifth term of the sequence, you can plug in n = 5 and get:

a_5 = 120 - 20(5) = 120 - 100 = 20

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one of the requirements of becoming a court reporter is the ability to type 225 words per minute. Donald can currently type 180 words per minute, and believes that with practice he can increase his typing speed by 5 words per minute each month. Which of the following represents the number of words per minute that don't believe he'll be able to type M months from now?<br /> A) 5+180m<br /> B) 225+5m<br /> C) 180+5m<br /> D) 180-5m

Morgan measures the capacity of a juice glass to be 12 fluid ounces. If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does morgan drink?

Answers

So,

Morgan drank 4 glasses of water out of a juice glass that contains 12 fluid ounces. To find how many pints Morgan drinks, we need to multiply the number of glasses by the number of fluid ounces, convert from fl. oz. to cups, and convert from cups to pints.

4 * 12 = 48 fl. oz.

8 fl. oz. = 1 cup
48 fl. oz. = 6 cups

2 c. = 1 pt.
6 c. = 3 pt.

Morgan drink 3 pints of water.

approximately 3 liquid pints. (3.00005)

a park is in the shape of a rectangle 8 miles long and 6 miles wide. how much shorter is your walk if you walk diagonally across the park than along two sides of it?

Answers

you need to use this particular formula
a^2 + b^2 = c^2
this allows you to solve for the sides of a triangle which is what the diagonal would look like if u were to draw it. a equals the width of the park and b equals the height of the park.
6^2 + 8^2 = c^2
next you need to multiply 6 by the power of 2
36 + 8^2 = c^2
then the same for the 8
36 + 64 = c^2
then add the numbers together.
100 = c^2
after you add you get the square root of 100 which is 10. a square root is 2 numbers that multiply together to equal a particular number. square root is what you do to cancel out a power of 2
so if you walk diagonally you go 10 miles instead of 14 miles leaving a difference of a whole 4 miles.

hope I helped

Sara leaves home at 7am traveling at a rate of 45 mi/h. her son discovers that she has forgotten her briefcase and starts out to catch up with her. her son leaves at 7:30 am traveling at a rate of 55 mi/h. At what time will he over take his mother?

Answers

Sara 45 mph
Son 55 mph
Sara 07:00
Son 07:30
Difference in time= 00:30 => 0.50 hours
Sara will have covered 22.50 miles Son starts

catch up distance= 22.50 miles
catch up speed = 55 -45
catch up speed = 10 mph
Catchup time = catchup distance/catch up speed
catch up time= 2.25
catch up time= 2.25 hours
They will meet at 9:55 am mph

If Dave runs 1.3 kilometers in 10 minutes what is his average rate?Adapting and Using Formulas

Answers

1.3km = 10 minutes

speed * time = distance

speed = distance divided by time

His speed = 1.3/10 = 0.13 km/h

rob is saving up to buy a new MP3 player for every $15 he earns babysitting he saves six dollars. on Saturday rob earned $75 babysitting how much money did he save

Answers

Answer : He saved $30 money.

Step-by-step explanation :

when he earned $15 from babysitting, he saved money = 6 dollars

when he earned $1 from babysitting, he saved money = $(6)/(15)$ dollars

when he earned $75 from babysitting, he saved money = $(6)/(15)* 75=30$ dollars

Therefore,He saved $30 money.

The total amount of money is 75 dollars
There are 5 fifteens in 75
There are 6 dollars saved everytime he makes 15 dollars
6 x 5 = 30
He saved 30 dollars

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points) Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points) (10 points)

Answers

Answer:

Part A:

Let 'x' be the number of windows cleaned.

Let 'y' be the total cost of cleaning 'x' windows.

Company A charges $6 per window and an additional $12 as service charges. So equation becomes $y=6x+12$

Company B charges $5 per window and an additional $15 as service charges. So equation becomes $y=5x+15$

Part B :

Cost for cleaning 8 windows.

Company A = $y=6(8)+12$ =$60

Company B = $y=5(8)+15$ =$55

Company B charges less for 8 windows.

Part C:

Cost for cleaning 6 windows.

Company A = $y=6(6)+12$ =$48

Company B = $y=5(6)+15$ =$45

Money saved by using company B is $48-45=3$ dollars.

Part A Answer: Company A: (Wx6)+12 Company B: (Wx5)+15The varible used was W because windows start with a W i chose this as the variable because it is for the certain NUMBER of windows.Part B:Company A: 8x6=48+12=$70 for 8 windows and service charges.Company B:8x5=40+15=$55 for 8 windows and service charges.Company B would charge less for 8 windows.Part C:My work for Company A: 6x6=36+12=$48 for 6 windows and service chargesMy work for Company B: 6x5=30+15=$45 for 6 windows + service charges$48-$45=$3Answer for Part C: $3 would be saved by using the services of Company B instead if Company A to clean 6 windows.

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