Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does the 2 represent in this formula?

Answers

Answer 1
Answer: The fact that there are two length sides and two width sides. 

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5. MAPPING Ben and Kate are making amap of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.

a. How many yards apart are Kate's and Ben's homes?

b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️

Answers

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, d = √((x_2 - x_1)^2 + (y_2 - y_1)^2).

d = √((6 -(-2))^2 + (2 -(-4))^2)

d = √((8)^2 + (6)^2)

d = √(64 + 36)

d = √(100)

d = 10 units

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

M((x_1 + x_2)/(2), (y_1 + y_2)/(2))

Plug in the values

M((6 +(-2))/(2), (2 +(-4))/(2))

M((4)/(2), (-2)/(2))

M(2, -1)

Olga walks 5 blocks to school her friend Louis walks 1/3 of that distance how many blocks does Louis walk to school

Answers

Answer:

Louis walks 1 and 2/3 blocks.

Step-by-step explanation:

To figure this out, what you want to do is multiply 1/3 by 5.

Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?

Answers

Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?

Answer: We know that Grace's walking rate is 1.5 meters per second

Number of meters Grace's house is from fountain is 90 meters.

Therefore, the time it will take Grace to reach the fountain is:

(Distance-between-House-and-fountain)/(Grace's-walking-rate)

(90)/(1.5) =60 seconds

Therefore, it will take Grace 60 seconds to reach fountain

Speed=1.5

Distance=90 meters

Time=?

Distance= time × speed

Thus,

T=distance/speed

   =90/1.5

   = 60 second

   = 1 minute  


What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.

Answers

Answer:

Step-by-step explanation:

The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.

Organizers of an outdoor summer concert in Toronto are concerned about the weather conditions on the day of the concert. They will make a profit of $31,000 on a clear day and $10,000 on a cloudy day. They will make a loss of $5,000 if it rains. The weather channel has predicted a 47% chance of rain on the day of the concert. Calculate the expected profit from the concert if the likelihood is 14% that it will be sunny and 39% that it will be cloudy.

Answers

Answer: Expected profit is $5,750

Step-by-step explanation:

Given data:

Profit on clear day = $30,000

Profit on a cloudy day = $10,000

Loss when it rains = $5,000

Likelihood = 14%

Sunny = 39%

Solution

First we apply the Expected profit formula

= (30,000*0.14)+(10,000*0.39)+(-5000*0.47)

= $4200 + $3900 + ($2350)

= $8100 + ($2350)

= $5,750

The calculated expected profit is $5,750.

Your dinner in London cost 82 British pounds. How muchwas it in U.S. dollars?


Some one please help me ASAP!!!

Answers

In U.S. dollars, the equivalent money will be $100.74

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?

  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions.
  • Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

the answer is $108.32