Final answer:
To express Carter's claim appropriately, his running speed is 7.14 meters per second, calculated by dividing 100 meters by 14 seconds.
Explanation:
Carter claims he can run 10,000 centimeters in 14 seconds. To express his claim in more appropriate terms, we need to convert the distance from centimeters to meters and then calculate his average speed. There are 100 centimeters in a meter, so 10,000 centimeters is 100 meters.
Now, using the formula for speed which is distance divided by time, Carter's claimed speed would be:
Speed = Distance ÷ Time
Speed = 100 meters ÷ 14 seconds
Speed = 7.14 meters per second (m/s)
This can be compared to Olympic sprinters, such as Usain Bolt, who set the world record for the 100 meter dash with an average running rate above 10 m/s.
cassie has 8 red and 12 yellow marbles. her mom doubles her collection. use tyhe distributive property to show how many she has now.
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. Answer:
what is the percent of increase for a population that changed from 438000 to 561000
Using scale factor of 1 inch = 5 feet, the blueprint dimensions of bedroom that is 12 feet x 18?
Choices
A) 2.2 in. X 3.3 in.
B) 2.4 in. X 3.6 in.
C) 2.8 in. X 4.2 in.
D) 2.9 in. X 5.0 in.
The blueprint dimensions for a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet are 2.4 inches by 3.6 inches, which is choice B.
To find the blueprint dimensions of a bedroom that is 12 feet by 18 feet using a scale factor of 1 inch = 5 feet, we need to convert the actual dimensions to inches on the blueprint. For the length:
12 feet / 5 feet per inch = 2.4 inches
And for the width:
18 feet / 5 feet per inch = 3.6 inches
Therefore, the dimensions on the blueprint would be 2.4 inches by 3.6 inches, which corresponds to choice B.
The function f(x)=3(2.5)^ is shown on the graph. Fill in the blank. As x increases without bound, the graph of f(x) _________________.
decreases without bound
increases without bound
approaches y=0
approaches y=3
Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is impossible to draw more than two different rectangles with an area of 15 square units. The sides of the rectangles are whole numbers.
Convert 3/20 to a percent.
Answer is provided in the image attached.
A line passes through (8,-1) and is perpendicular to y=2x-9. What is the equation of the line in point-slope form?
The equation of the line in point-slope form is y = -1/2x +3.
What is the slope of a line?A line's slope is defined as the ratio of the change in the y coordinates to the change in the x coordinates.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.
Given coordinates (8, -1)
and the equation of a line is y = mx + c
given equation = y = 2x - 9
comparing from the equation of line we get m = 2
but the line passes from (8, -1) is perpendicular to a given line,
so the value for slope(m) for perpendicular is inverse of the negative of the slope of a given line,
so m = -1/2
and equation is (y - y₁) = m(x - x₁)
where y₁ = -1 and x₁ = 8
substitute the values
y - (-1) = -1/2(x - 8)
y + 1 = -1/2(x - 8)
y = -1/2x +4 -1
y = -1/2x +3
Hence the equation of a line is y = -1/2x +3.
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Which of the tables represents a function?
Table A
Input Output
4 3
3 2
3 1
Table B
Input Output
1 3
3 5
5 7
Table C
Input Output
0 0
1 4
1 5
Table D
Input Output
4 1
4 2
4 3
Table A
Table B
Table C
Table D
Answer:
In functions, there can be more than one of the same output, but there cant be more than one of the same input.
Step-by-step explanation:
Let's look at table A.
Input Output
4 3
3 2
3 1
We have two 3's for our input.
Let's take a different approach to this if you don't understand.
Let's imagine we have a vending machine.
If you press the number 2 you get Doritos
If you press the number 4 you get Sprite
Though if you press the number 3 you could either get Cashews or Cheetos. If you paid for the Cheetos and you get Cashews, that wouldn't be good; Its like a guessing game.
So, therefore Table A is NOT correct, as two of our input's are the same number.
Now let's look at Table B
Input Output
1 3
3 5
5 7
All of our input's are different, which is good. Let's imagine the vending machine again.
Pressing number 1 gives us Doritos
Pressing number 3 gives us Barbecue Chips
Pressing number 5 gives us Kettle Chips.
We get what we pay for, which means, in this equation, if you input is number 1, we will have number 3 as our output, ect.
This table IS correct.
I think you can apply this procedure to the other two tables to determine which one is right :)
Hope this helps, reach out if you need any more help!
An automobile detailer can detail 20 cars in 10 hours. At this rate, how many cars can he detail in 1 hour?
need help plz supposed to turn 8/27 into exponents please help
Which of the following is equivalent to 0.01?
A.10^00.1
B.10^-2
C.10^-1
D.10^1
(05.01)A scale drawing of a bathroom is shown below: A rectangle is shown. The length of the rectangle is labeled 2 inches. The width of the rectangle is labeled 3.5 inches. The scale is 1 to 20. What is the area of the actual bathroom in square feet? Round your answer to the nearest whole number. 7 ft^2 19 ft^2 12 ft^2 140 ft^2
19ft^2
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Last year you received 25 valentine cards from all of your friends. This year you received 30 total valentines. Calculate the percent change
You float 2000 feet along a lazy river water ride. The ride takes less than 10 minutes. Give two examples of possible times and speeds.
At the start of the week, you could complete 12 push-ups. By the end of the week, you could complete 17 push-ups. Which proportion could you use to find the percent increase in the number of push-ups you can complete
Answer:
The percentage increase is equal to [tex]41.67\%[/tex]
The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]
Step-by-step explanation:
we know that
[tex]12\ push-ups[/tex] ------> represent the [tex]100\%[/tex]
The increase of push-ups is equal to
[tex]17-12=5\ push-ups[/tex]
by proportion
[tex]\frac{12}{100}\frac{push-ups}{\%} =\frac{5}{x}\frac{push-ups}{\%}\\ \\x=\frac{5}{12}*100\\ \\x=41.67\%[/tex]
The percentage increase is equal to [tex]41.67\%[/tex]
The proportion to find the percentage increase is equal to [tex]\frac{5}{12}*100[/tex]
Write an equation about having 6 puzzles, getting 5 more and having a lot now.
Rita sprinted 77 feet in 10 seconds. how many miles per hour is this
Final answer:
Rita sprinted 77 feet in 10 seconds. Her speed is approximately 5.25 miles per hour.
Explanation:
To convert the distance covered by Rita from feet to miles, we need to divide the distance by the number of feet in a mile:
77 feet ÷ 5280 feet/mile = 0.0145833 miles
To convert the time from seconds to hours, we need to divide the time by the number of seconds in an hour:
10 seconds ÷ 3600 seconds/hour = 0.00277778 hours
To calculate the speed in miles per hour, we divide the distance by the time:
Speed = Distance ÷ Time = 0.0145833 miles ÷ 0.00277778 hours ≈ 5.25 miles per hour
what is the value of the following expression 2x (6+[12÷(3+1)])-1
The value of the given expression will be 17.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, 2(6+[12÷(3+1)])-1
2{6+12/4}-1
= 2(6+3)-1
= 2*9-1
= 17
Hence, The value of the given expression will be 17.
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One pound of chicken costs $3.Jim buys 8 and 2/3 pounds of chicken.how much does jim pay for the chicken?
Allen is traveling 65 MPh. how many hours will it take for him to travel 585 miles?
It will take Allen approximately 9 hours to travel 585 miles at a speed of 65 miles per hour.
Explanation:To determine the time Allen will take to cover a distance of 585 miles while traveling at 65 miles per hour, the formula for time, which is distance divided by speed, is used. Using this formula: Time = Distance / Speed. In this case, Time = 585 miles / 65 miles per hour, which equals approximately 9 hours. This calculation is derived by dividing the total distance Allen needs to travel, which is 585 miles, by his speed of 65 miles per hour, giving us the time it will take for him to complete the journey.
This formula of time equals distance divided by speed is a fundamental concept in physics and helps calculate the time taken to cover a given distance at a certain speed. By dividing the distance of travel by the speed at which Allen is traveling, we get the time required for the journey.
Understanding the relationship between distance, speed, and time enables us to compute travel durations accurately. In this case, for Allen traveling at a constant speed of 65 miles per hour, dividing the total distance of 585 miles by his speed reveals that it will take him approximately 9 hours to reach his destination.
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triangle has angles that measure 106° and 59°. What is the measure of the third angle? A. 15° B. 47° C. 74º D. 121°
Which answer option shows the correct placement of the parentheses to make this a true number sentence? 8 + 4 ÷ 2 = 6
the perimeter of the rectangle is 96 feet find the dimension of the rectangle If the ratio of the length is the width is 7:5 which of the following would be the best equation to use to solve this problem.
A.2x+2x=96
B.7x+5x=96
C.2 (7x)+2 (5x)=98
D.7x/5x=96
Please help.
A group of 140 tourists are going on a tour. The tour guide rents 15 vans. Each van holds 9 tourists. What does the remainder mean in the context of the problem?
Suppose you had to find 4x57. How are expanded algorithm and standard algorithm alike? How are they different?
how do you shade the model to show the decimal 0.542
Jordan made a scale drawing of the Statue of Liberty. He used the scale 1 in. = 30 feet for his drawing. The actual height from the ground to the top of the torch is 305 feet 6 inches. What is the distance, rounded to the nearest inch, from the ground to the top of the torch in Jordan’s drawing? A. 10 in. B. 11 in. C. 15 in. D. 25 in.
what is 2 fifths of 25
3x+1/5y=7 solve for y