Byun walked 15 blocks in 25 minutes. What was his average speed?
average = distance / time
Answer:
3/5 blocks per minute
Step-by-step explanation:
Byun walked 15 blocks in 25 minutes.
average = distance / time
Average speed is equal to distanced traveled by the time taken
[tex]Average =\frac{distance}{time}[/tex]
Distance = 15 blocks
and time = 25 minutes
So [tex]Average =\frac{15}{25}[/tex]
Divide both sides by 5
[tex]Average =\frac{15}{25}=\frac{3}{5}[/tex]
Average speed is 3/5 blocks per minute
What is the approximate volume of the sphere?
Use 3.14 to approximate pi and round to the nearest hundredth if necessary.
48cm3
150.72cm3
288.00cm3
904.32cm3
Solve the inequality x/-10 > 6
The inequality x/-10 > 6 is solved by multiplying both sides by -10, which flips the inequality symbol, yielding x < -60 as the solution. This approach accounts for the rule that multiplication or division by a negative number reverses the inequality sign.
Explanation:To solve the inequality x/-10 > 6, we need to manipulate the inequality while preserving the relationship between the two sides. When multiplying or dividing both sides of an inequality by a negative number, the inequality symbol must be reversed. Here is the step-by-step process:
Multiply both sides by -10 (and remember to flip the inequality sign): x < -60.Recognize that the solution to the inequality is all real numbers less than -60.This solution demonstrates how to properly handle an inequality involving a negative divisor. It's important to note that if this problem were part of a larger context, such as solving for a concentration in a chemical solution (for which negative values might be physically impossible), one would need to consider the context to determine the relevance of the solution.
In a context where x represents a concentration, a negative value might be discarded as physically impossible, leaving only the physically plausible positive values. As an example, in solution preparation, one might encounter information such as 'solving for x gives a negative root and a positive root', where the negative root would be discarded, and the positive root, such as x = 7.2 x 10-2, would be the correct solution.
Moreover, when dealing with approximate solutions, you might encounter situations where x is very small relative to another value, and thus the value of x might be ignored in the solving process to simplify the equation. However, this approach is not applicable to our inequality since we are not approximating but rather finding the exact set of values for x that satisfy the inequality.
To solve the inequality x/-10 > 6, multiply both sides of the inequality by -10 and reverse the inequality sign. The solution is all values of x that are less than -60.
Explanation:To solve the inequality x/-10 > 6, we can multiply both sides of the inequality by -10, but remember that when we multiply or divide by a negative number, we need to reverse the inequality sign. So the inequality becomes x < -60. Thus, the solution to the inequality is all values of x that are less than -60.
what is 6.45 divided by 5
can u show how you get you answer
2 √(9a^3 b^4 c )
what is equivalent to the expression above?
Let A= {1, 3, 4}, B= { x| x is an even whole number less than 9}, C= {2, 5, 7, 10}, and D= { x| x is an odd whole number less than 10}
11. A U C
13. B U C
17. A n C
Please answer. I need to know. THANK YOU <3
The union of sets A and C (A U C) includes all unique elements from both sets resulting in {1, 3, 4, 2, 5, 7, 10}. The union of sets B and C (B U C) combines all unique elements from the even numbers less than 9 and set C, resulting in {2, 4, 6, 8, 5, 7, 10}. The intersection of sets A and C (A n C) is the empty set since they share no common elements.
When combining or intersecting sets, we are looking at the members that belong to each set.
The union of sets A and C (A U C) includes all elements that are in A, C, or both. So, A U C = {1, 3, 4, 2, 5, 7, 10}.The union of sets B and C (B U C) needs to take into account that set B contains all even whole numbers less than 9. So, first we list those numbers to define B as {2, 4, 6, 8}. Now, combining B and C, we have B U C = {2, 4, 6, 8, 5, 7, 10}.The intersection of sets A and C (A n C) contains all elements that are present in both sets. Since there are no common elements between A and C, A n C = {} , which is also known as the empty set.A high speed train can travel an average of 500km in 2 hours. If it left its station at noon and traveled nonstop, how many kilometers had it traveled by midnight.
A. 1,500km
B. 3,000km
C. 6,000km
D. 12,000km
A Science class has 12 boys and 15 girls. What is the probability that a student chosen at random is a boy?
2 power of 10 times 17.55
what is 140,000,000 in scientific notation
Six friends split the cost of a party. Each person also spends $65 for a hotel room. Each person spends $160 on the party and the room. What is the cost of the party?
At Chrissy's Clothes Warehouse, it takes 2 over 5 of a day to complete 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
A. 4 days
B. 10 and 2 over 5 days
C. 12 and 1 over 2 days
D. 25 days
You want to split a sheet of paper into five equal columns. You know that the paper is 8.5 inches wide.
How wide should you make each column?
Draw a model to represent 12 x 6
The multiplication 12 x 6 can be represented by a 2-dimensional array model, where you arrange 72 items into 12 rows (or columns) with 6 items in each. It visually illustrates that 12 groups of 6 equals 72.
Explanation:To represent 12 x 6 using a model, you can create a two-dimensional array. In this array, you would have 12 rows (or columns, as per your preference), and 6 items in each row (or column). Essentially, you need a total of 72 (12 x 6) items arranged in this way.
Here's a small representation for the purpose of understanding:
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXIn this representation, X denotes an item. We have 12 rows with 6 items in each, which shows the product of 12 x 6 as 72. This type of model is also known as an area or array model in mathematics.
Learn more about array model here:
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The Zigzag River is 144 miles longer than twice the petite River. If the petite River is 46 miles long, how long is the ZigZag river
Darren wins a coupon for $4 off the lunch special for each of five days he pays $75 for his 5 lunch specials write and solve an equation to find the original price p four one lunch special.
P.s ur getting reported if you don't show all work and if you answer without an answer for the question
What is n+3(n-1) simplified
what common side do GDE and HED share
A car is traveling at a rate of 44 feet per second. What is the cats rate in miles per hour? How many miles will the car travel in 4 hours? 1 mile = 5280 feet. Do not round.
What is 64/1331 simplified as a fraction
a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price
(per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?
Answer:In this question, the buying price will be lower if the quantity bought is higher. But the markup ratio for retail price is constant at 80% of buying price. If the price of the range is x, then the equation of retail price would be:
Retail price= x * (100%+80%)
Retail price= x * 180%=
Retail price= 1.8 x
The equation should be same because the markup ratio is same. Only the buying price that will be different based on the quantity of shoe purchased.
THANKS
129
Step-by-step explanation:
4 and 5/8 as an improper fraction and as a mixed number.
hi i need help on math its due on friday its about slope its 7 questions can someone please help theres only one problem im useing brainly on my computer does anyone now how to take pictures on here please
What is 64mi/h= ft/s
At 9 am a car (A) began journey from a point, traveling at 40 mph. At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A). At what time will car B pass car A?
Mike made a 9 inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?
Mike can cut 14 pieces from his 9 inch sub sandwich.
To find out how many 2/3 inch pieces Mike can cut from his 9 inch sub sandwich, we can use division. Here's the step-by-step calculation:
First, we need to determine how many 2/3 inch pieces fit in one inch. This is found by dividing 1 by 2/3.
[tex]\[ \frac{1}{\frac{2}{3}} = 1 \times \frac{3}{2} = \frac{3}{2} = 1.5 \][/tex]
So, one inch can hold 1.5 pieces.
Now, to find out how many pieces can fit in the entire 9 inch sandwich, we multiply the number of pieces per inch by the length of the sandwich.
[tex]\[ 1.5 \times 9 = 13.5 \][/tex]
So, Mike can cut 13.5 pieces from the 9 inch sandwich.
However, as we can't have a fraction of a piece, we round down since we can't have part of a piece.
[tex]\[ \text{Floor}(13.5) = 14 \][/tex]
Therefore, Mike can cut 14 pieces from his 9 inch sub sandwich.
A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?
can someone answer this correctly plz
Nick is making a model of a car to show at his school. The circumference of each wheel is 9.42 inches. What is the diameter of the wheel?
The diameter of the wheel can be found using the formula d = C / π. Given the circumference of 9.42 inches, the diameter is approximately 3 inches.
Step by Step Solution:
To find the diameter of the wheel, we can use the relationship between the circumference and the diameter of a circle. The formula is:
Circumference (C) = π × Diameter (d)
In this case, the circumference (C) is given as 9.42 inches. We need to solve for the diameter (d).
Re-arranging the formula to solve for diameter:
Diameter (d) = Circumference (C) / π
We can use the value of π (pi) which is approximately 3.14.
Given: Circumference (C) = 9.42 inches
π ≈ 3.14
Now, substitute the values into the formula:
d = 9.42 / 3.14 ≈ 3 inches
Therefore, the diameter of each wheel is approximately 3 inches.
M is the midpoint of RS, and
M has coordinates (-1,5).
R has coordinates (-5,2).
Find the coordinates of S
To find the coordinates of point S, we can use the midpoint formula by taking the average of the x-coordinates and the average of the y-coordinates. Substituting the given values into the formula, we find that the coordinates of S are (3, 8).
Explanation:To find the coordinates of S, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) between two points (R and S) can be found by taking the average of the x-coordinates and the average of the y-coordinates.
Given that the coordinates of M are (-1, 5) and the coordinates of R are (-5, 2), we can use the formula:
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the known values, we get:
(-1, 5) = ((-5 + x2) / 2, (2 + y2) / 2)
Solving for x2 and y2, we find that the coordinates of S are (3, 8).
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An architect is designing a department store. She wants to add an escalator. She knows that the escalator will make a 30 degree angle with the floor and will have a vertical height of 36 feet. How much room will she need to allow for the horizontal length?
the base would be 36 /tan(30) = 62.35 feet,
round the answer as needed.