Final answer:
To find Miguel's average speed, divide the distance to his grandparents' house, 159 miles, by the time it takes, 3 hours, which gives us an average speed of 53 mph.
Explanation:
To calculate Miguel's average speed when driving to his grandparents' house, we use the formula for average speed, which is the distance traveled divided by the time taken to travel that distance. In this case, if Miguel's grandparents live 159 miles away and it takes 3 hours to get there, we divide the distance by the time to find the average speed:
Average speed = Distance ÷ Time
Average speed = 159 miles ÷ 3 hours
Average speed = 53 miles per hour (mph)
Therefore, Miguel's average speed to his grandparents' house is 53 mph.
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The sale tax rate in Brads town is 4.25%. If he buys 3 lamps for 22.49 each and a sofa for 829.99, how much sales tax does he owe?
To determine the sales tax owed, calculate the total cost of the items purchased and apply the sales tax rate.
Explanation:The sales tax rate in Brads town is 4.25%.
Calculate the total cost of the lamps: 3 lamps at $22.49 each.Calculate the total cost of the sofa.Find the total amount of sales tax owed.Therefore, the student owes a total amount of sales tax as calculated in step 3.
bonnie has set of 40 tiles that she bought while traveling in South Africa. What is the largest frame size (on each side) that she can make with these. tiles? Will she use all of her tiles?
Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.
Explanation:To find the largest frame size that Bonnie can make with her 40 tiles, we need to determine the factors of 40. A factor is a number that divides evenly into another number. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
To create a frame, Bonnie needs two sides with lengths that multiply to give 40. The largest frame size will have sides of length 20 and 2, which can be achieved by placing the tiles in a rectangular shape.
Therefore, Bonnie can make a frame with sides measuring 20 tiles and 2 tiles, using all of her 40 tiles.
What is the value of the function at x = 2?
Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she bake
Rewrite 12/17 as a decimal number. Round to the nearest thousandth.
12/17 as a decimal, rounded to the nearest thousandth, is 0.706, obtained by dividing 12 by 17 and rounding up due to the fourth decimal place being greater than 5.
Explanation:To convert the fraction 12/17 to a decimal, divide 12 by 17. Upon doing this calculation, we get approximately 0.7058823529411765. Now, to round this to the nearest thousandth, we look at the fourth decimal place, which in this case is an '8'. Therefore, we round up the third decimal place from '5' to '6', giving us 0.706 as the final answer, rounded to the nearest thousandth.
the actual distance between 2 cities is 135 km. the map scale is 1 cm : 100 km. find the map distance
Answer:
1.35
Step-by-step explanation:
The Olympic record for mens 50meter freestyle is 21.3 seconds. a. express the speed in meters per second b. At this rate how many meters could be swum in 1 minute
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What is the constant of variation for this relationship?
xy = –12
–1.2
–0.12
–12
-1/4
Write a phrase for each algebraic expression 8y
The phrase for the algebraic expression 8y is 'eight times the variable y'. It represents a multiplication of the variable y by 8.
The algebraic expression 8y can be represented by the phrase 'eight times the variable y'. This type of question involves translating algebraic expressions into verbal phrases, which is important in understanding and communicating mathematical concepts clearly. The expression consists of a constant multiplier, 8, and a variable, y, indicating that y is to be multiplied by 8.
divide. write in smplest form 1 4/9÷1/3
A recipe for lemonade calls for 1 cup of sugar and 5 cups of water. How much sugar is used per cup of water?
Answer:
[tex]\frac{1}{5}[/tex] cup of sugar per cup of water
Step-by-step explanation:
Set up a ratio with sugar on top and water on bottom to figure it out.
"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"
Translating the above statement into ratios:
[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]
Cross multiplying and solving for [tex]x[/tex] gives us:
[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]
So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.
The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population p (in thousands of people) x years after 2010?
A. p=4x+50
B. p-450=4(x-5)
C. p-15=4(x-450)
D. p=4x+15
An equation that gives the city's population p (in thousands of people) x years after 2010 will be D. p = 4x + 15.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this situation, the population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people.
p = 450
4x + 15 = 450
4x = 435
Divide.
x = 108.75
Substituting the answer to check will be:
p = 4(108.75) + 15
p = 450
The correct option is D.
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The equation that gives the city's population x years after 2010 is p = 4x + 390.
Explanation:To find an equation for the city's population x years after 2010, we need to determine the initial population in 2010 and the rate at which the population is increasing. Since the population is increasing by 4000 people each year, that means the population will increase by 4 people for every 1 year. We can represent this with the equation p = 4x + p0, where p is the population x years after 2010 and p0 is the population in 2010. Given that the population in 2025 is projected to be 450,000 people, we can substitute x = 15 into the equation and solve for p0:
p = 4(15) + p0
450 = 60 + p0
p0 = 450 - 60
p0 = 390
Therefore, the equation that gives the city's population p (in thousands of people) x years after 2010 is p = 4x + 390. So, the correct answer is option A: p = 4x + 390.
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The correct equation that gives the city's population 'p' (in thousands of people) 'x' years after 2010 is 'p-450 = 4(x - 15)', option B.
Explanation:The problem can be solved by understanding the concept of linear equations. Since the population is growing steadily by 4000 each year, we can say that the rate of change is constant, which implies linear growth. The population in 2010 forms the base value and the annual increase forms the slope.
The year 2025 corresponds to 15 years after 2010 and at that point the population is projected to be 450,000 (or 450 based on the problem's notation of thousands of people). Therefore, for each year after 2010, the population increases by 4 (thousands of people). Consequently, the equation which represents this situation would be:
p = 4x + 450
But, since the question has given options that are in the format of p in terms of (x-15), we subtract 15 from each side to put the equation in the given format:
p-450 = 4(x - 15)
So, the correct answer is B.
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1. Tabitha was shooting free throws in gym class. She completed 8 of the shots, which was half of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?
Joan completed 12 free throws. Tabitha completed 8, half of 4 more than Joan's total. Equation: (1/2)(4+n)=8. Solve: n=12.
Let's break down the problem step by step:
1. Let's denote the number of free throws Joan completed as n.
2. According to the given information, Tabitha completed 8 shots.
3. It's also mentioned that Tabitha completed half of 4 more than Joan completed. So, the number of shots Tabitha completed is [tex]\( \frac{1}{2}(4 + n) \)[/tex].
4. Since Tabitha completed 8 shots, we can write the equation:
[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]
5. Now, let's solve for n:
[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]
4 + n = 16 (multiplying both sides by 2 to eliminate the fraction)
n = 16 - 4
n = 12
So, the number of free throws, n, that Joan completed is indeed 12..
Ken, a meteorologist, is predicting next year’s temperatures in New York City. He predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September. Use the number line interactive tool to determine Ken’s temperature prediction for September. Ken’s predicted temperature for September is
Answer:
the answer is 16 c:
Step-by-step explanation:
Jabir buys 2.74 pounds of dried pinto beans and 4.05 pounds of dried lima beans. What is the difference between the weights of the beans that Jabir buys?
what is the area of a trapezoid with the base 6cm and 3 cm and a height of 3cm
3 friends want to share 4 granola bars evenly. How much would each friend get? Show your answer in 2 different ways.
Two candidates ran for class president. The candidate that won received 80% of the 360 total votes. How many votes did the winning candidate receive?
ANSWER ASAP PLEASE
The winning candidate for the class president's election received 288 votes, as this represents 80% of the total votes (360). We calculated this by converting the percentage to a decimal (0.80) and multiplying it with the total votes.
Explanation:This problem is about finding percentages of a given amount. The winner of the election received 80% of the votes. Given the total number of votes is 360, we need to find 80% of 360 to determine the number of votes the winning candidate received. To calculate this, simply multiply 360 by 0.80 (or 80%).
Here's the step-by-step calculation:
Convert the percentage to a decimal by dividing it by 100. So, 80 / 100 = 0.80. Multiply this decimal by the total votes. So, 0.80 * 360 = 288.
Hence, the winning candidate received 288 votes.
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Write a number with the digit 5 in the ones place.
What is the answer to this question
a store has 30 boxes of melon each box has 4 bags each bag holde 2 melons what is the total number of melon in the store?
Ted is asked to multiply 10^2 times 18.72.How many places and in which direction should he move the decimal point to get the correct product?
Which of the following relations is not a function?
A. (-7, 4), (2, 3), (-1, 1), (7, 2)
B. (7, 4), (-1, 2), (2, 1), (-7, 2)
C. (2, 4), (-1, 2), (2, 1), (-7, 2)
D. (-1, 4), (2, 2), (7, 1), (-7, 5)
Answer:
The answer is c.
Step-by-step explanation:
how do you divide 32 by 3,072 in long division
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Kelli made a table to show how much she earns in a given week.
Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 100 200 300 400 500 600 700 800 900
Karl earns $25 an hour and receives a $50 weekly bonus.
Karl made a graph to show how much he earns per hour in a given week.
How many hours will it take Kelli and Karl to earn the same amount of money?
Enter your answer in the box.
hours
Answer: 10
How many hours will it take Kelli and Karl to earn the same amount of money? i took the k12 quiz
What is 10 times as much than 0.84
Jessie and Nathan went out to eat. Their lunch cost $17.98. If they give the waitress a 17% tip, how much was their total cost?
which set of numbers is arranged in order from least to greatest?
a. 0.35, 1/5,2/3,-0.7
b. -0.7, 0.35, 1/5, 2/3
c. -0.7, 1/5, 0.35, 2/3
d. 1/5, 0.35, 2/3, -0.7
Mr. Alberto has 48 students to divide into teams of 8. The number of teams will be divided equally for three high school students to coach at practice. How many teams will each high school student get?