The sofa at (4, 3) and the bed at (7, 5) are within the 5-meter range of good WiFi coverage from the router at (2, 5), whereas the desk at (6, 1) is outside this range.
The WiFi router is located at point (2, 5), and the radius of good coverage is within 5 meters. Let's use the distance formula d = √{(x_2 - x_1)^2 + (y_2 - y_1)^2} to calculate the distance to each location:
The sofa at (4, 3): d =√{(4 - 2)^2 + (3 - 5)^2} = √{4 + 4} = √{8} ≈ 2.83 meters
The bed at (7, 5): d = √{(7 - 2)^2 + (5 - 5)^2} = √{25 + 0} = √{25} = 5 meters
The desk at (6, 1): d = √{(6 - 2)^2 + (1 - 5)^2} = √{16 + 16} = √{32} ≈5.66 meters
Locations A (The sofa) and B (The bed) are within the 5-meter range of good coverage. Location C (The desk) is outside the 5-meter range.
Sally has 6 boxes of colored pencils only three of the boxes contain 12 colored pencils each .the remaining boxes each contain 20 colored pencils.she packs the colored pencils into 8 packets.how many pencils are there in each packet??
Number 5 says: a punch recipe that serves 24 people calls for 4 liters of lemon-lime soda,2 pints of sherbet and 6 cups of ice. A .Complete a ratio table to represent this situation B. How much of each ingredient would you need to make an identical recipe that serves 12 people?36 people?
Please help me on this .. Thanks
Katrina and her 7 friends evenly split 4 cookies. How many cookies did each person eat?
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4) ?
Use division to rename 8/10
In a shipment of 850 widgets, 32 are found to be defective. At this rate, how many defective widgets could be expected in 22,000 widgets? Round to the nearest whole number.
a phone company charges a base fee of $10.00 per month
what is 3/22 tines 33
For a house call, a veterinarian charges $70, plus $40 an hour.
a. Write an equation that represents the total fee yy (in dollars) the veterinarian charges for a visit lasting xx hours.
There are 146 students five teachers and it's chaperones going to the theater to reserve the seats they need to preserve entire Rose each row has eight seats how many rows must they reserve
The total number of rows needed to reserve in the theater for 146 students and 5 teachers, assuming that each row has 8 seats, is 19 rows.
Explanation:To determine the number of rows needed to reserve in the theater for 146 students, 5 teachers, and its chaperones, we first need to calculate the total number of individuals attending. This is done by simply adding the students and teachers:
146 students + 5 teachers = 151 people
Next, we divide the total number of people by the number of seats in each row to find the number of rows to reserve. Since each row has 8 seats:
151 people \/ 8 seats per row = 18.875 rows
Since you cannot reserve a fraction of a row, we need to round up to ensure there is a seat for everyone. Therefore, we will need to reserve 19 rows in total.
PLEASE HELP URGENT PLEASE HELP apply the definition of subtraction and properties of operations to find the result. 1/8 - 3/7 - 3/8
6/9 in simplest form
Write a word problem in which the starting number is in the hundreds and the answer is 4 tickets were left over
To write a word problem where the starting number is in the hundreds and the answer is 4 tickets left over, create a scenario where someone buys tickets for a concert and some are left over.
Explanation:To write a word problem where the starting number is in the hundreds and the answer is 4 tickets left over, we can create a scenario where someone buys tickets for a concert and some are left over. For example:
Word Problem:Sarah bought 350 tickets for a concert. She gave 120 tickets to her friends and sold 225 tickets. How many tickets does she have left?
To solve this problem, we subtract the number of tickets Sarah gave to her friends and sold from the starting number:
Starting number - Tickets given to friends - Tickets sold = Tickets left over
350 - 120 - 225 = 5
Sarah has 5 tickets left over.
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4 • 2 - 3 = -2 • 2 + 9
What times what equals 44
The pairs of numbers that multiply to give 44 are (1, 44), (2, 22), and (4, 11).
Given that we need to determine what times what equals 44,
We can look at the factors of 44 to discover two integers that multiply to equal 44.
The 44 factors are:
1, 2, 4, 11, 22, 44
As a result, the following alternative pairs of numbers can be multiplied to create 44:
1 × 44 = 44
2 × 22 = 44
4 × 11 = 44
Therefore, (1, 44), (2, 22), and (4, 11) are the pairs of numbers that multiply to generate 44.
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daphne was given a riddle to solve the sum of two consecutive positive integers is 71 find the two positive integers
Two consecutive positive integers that sum to 71, a simple equation can be used leading to the solution that the integers are 35 and 36.
Tasked with finding two consecutive positive integers whose sum is 71. To solve this, let's represent the smaller integer as n, which means the next consecutive integer is n+1. According to the riddle, the sum of these two integers is 71:
n + (n + 1) = 71
Solving this equation:
2n + 1 = 71
2n = 71 - 1
2n = 70
n = 35
The smaller integer is 35, and the next consecutive integer is 36. Therefore, the two consecutive positive integers are 35 and 36.
Heather works in a clothes shop where she earns a commission of 5% and no weekly salary. What will heather's weekly sales have to be for her to earn $375.00 in a week?
Heather's weekly sales must be $7500 in order to earn $375.00 in weekly salary.
What is the commission?A commission is a fee charged by a broker or investment advisor for handling a client's securities purchases and sales or for providing financial advice.There are significant distinctions between commissions and fees, at least in the context of professional advisors in the financial services sector.A commission-based advisor or broker earns money by selling investment products such as mutual funds and annuities as well as engaging in financial transactions with clients' funds.Therefore,
Commission / commission rate = sale
Commission = $ 375.00 in a week
Commission rate = 5%
∴ 0.05
Then simplifying we get,
⇒ 375/0.05
= 7,500
Hence, Heather's weekly sales have to be $7500 to earn $375.00 in a weekly salary.
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2369 divided by 6= t
what number is 35% of 54?
Isaac made 2 quarts and 1 cup of cupcake batter. If 6 ounces of batter make one cupcake, and Isaac is making 10 cupcakes, how much batter will be left over?
Answer:
12.115 ounces of batter
Step-by-step explanation:
Isaac made 2 quarts and 1 cup of cupcake batter.
We will convert the amount into ounces
1 quart = 32 ounces
2 quarts = 32 × 2 = 64 ounces
1 cup = 8.115 ounces
∴ 2 quarts and 1 cup = 64 + 8.115 = 72.115 ounces
To make one cupcake Isaac needs the amount of batter = 6 ounces
He is making 10 cupcakes, so he would be needed = 10 × 6 = 60 ounces
He has 72.115 ounces of batter and he would be needed 60 ounces
The left over batter = 72.115 - 60 = 12.115 ounces.
12.115 ounces batter would be left over.
natalie recorded her exercise for a week. she ran 16 miles, swam 3 miles, biked 22 miles, and rollerbladed 7 miles. what part of her total distance during the week did she run?
Which factor pair has a product of −93
Answer:
31 and −3
Step-by-step explanation:
Since the product is negative, only one of the factors in the pair is negative.
Amery drives 50 miles in one hour. How many miles does he drive in 2.25 hours?
-84(-3 - 5p)=-176 help please
write a real-world problem that could be solved using a proportion
The required real-world problem is given as "7/10 of the proportion of the earth is water. What is the proportion of earth is land?"
Given that,
A question is to be written which is based of real life as well as proportion based.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
A proportion relation is defined as the quantity of the matter or entity with respect to the composite quality of the matter and quantity.
Thus, a real-world problem can be given as " 7/10 of the proportion of the earth is water. What is the proportion of earth is land?."
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The price of a $2 loaf of bread is taxed 7%.what is the final price
Explain
Jordan and Jake each work during the summer. Jordan earns $9 per hour at her job. Jordan also gets a $10 weekly allowance. Jordan displayed her earnings in a table.
Hours: 0 1 2 3 4 5 6 7 8
Earnings: 10 19 28 37 46 55 64 73 82
Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!
To find out when Jordan and Jake will earn the same amount, we need to set their earnings equations equal to each other and solve for the number of hours worked. The resulting value will be the number of hours at which they both earn the same amount.
Explanation:To determine the number of hours it will take for Jordan and Jake to earn the same amount of money, we need to solve an equation that sets their earnings equal to each other.
For Jordan, her earnings (EJ) are calculated as $9 per hour plus a $10 allowance. So, we write this as an equation:
EJ = 9h + 10.
Similarly, for Jake, his earnings (EJk) are calculated as $6.50 per hour plus a $15 allowance. So, his earning equation is given by:
EJk = 6.5h + 15.
To find when they earn the same, we set the two equations equal to each other:
9h + 10 = 6.5h + 15
By simplifying the equation, it results in 'h', which represents the number of hours needed for Jordan and Jake to earn the same amount of money.
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To make a dark orange color , Ron Mixes 3 oz of red paint woth 2 oz of yellow paint . Write the ratio of red paint to yellow paint three ways .
It -10 Fahrenheit in Minneapolis then in Chicago select all the values they could represent the temperature of Minneapolis
If it's -10 Fahrenheit in Minneapolis and a cold front drops the temperature by 40 degrees, the new temperature would be -50 Fahrenheit.
Explanation:If the temperature is -10 Fahrenheit in Minneapolis, and a cold front drops the temperature by 40.0 Fahrenheit degrees, we need to calculate the new temperature. This would mean subtracting 40 degrees from the current temperature of -10 degrees.
Starting with -10, we subtract 40 degrees:
-10 − 40 = -50
Therefore, the value that could represent the temperature in Minneapolis after the cold front is -50 Fahrenheit.