Beth ran a 5 km race on Saturday. Tim ran a 4 mile race. Who ran farther?
- Please explain how you did it, thanks!
Answers
12.14
m
p
h
Number of seconds to run the race is:
s
e
c
o
n
d
s
=
(
15
m
i
n
u
t
e
s
∗
60
s
e
c
o
n
d
s
m
i
n
u
t
e
)
+
23
s
e
c
o
n
d
s
=
923
s
e
c
o
n
d
s
The number of hours is:
h
o
u
r
s
=
923
s
e
c
o
n
d
s
∗
m
i
n
u
t
e
60
s
e
c
o
n
d
s
∗
h
o
u
r
60
m
i
n
u
t
e
s
≈
0.256
h
o
u
r
s
The number of kilometers per mile is
1.609
.
The number of miles in a 5-K race is:
m
i
l
e
s
=
5.0
k
m
∗
m
i
l
e
s
1.609
k
m
≈
3.107
m
i
l
e
s
The pace in miles per hour is:
m
p
h
=
3.107
m
i
l
e
s
0.256
h
o
u
r
s
≈
12.14
m
p
h
.
==========================================
Explanation:
1 mile = 1.609 km approximately
This is something you either memorize or look up on a reference sheet.
Multiply both sides by 4 so that we determine how many kilometers are in 4 miles.
So,
1 mile = 1.609 km
4*(1 mile) = 4*(1.609 km)
4 miles = 6.436 km
Therefore, we can see that Beth ran 5 km and Tim ran approximately 6.436 km. Tim ran slightly farther.
---------
An alternative method is to convert 5 km to miles to find that 5 km = 3.107 miles approximately.
Compare Beth's amount (3.107 miles) to Tim's amount (4 miles) and we have extra proof Tim ran a bit longer distance.
---------
The key with either method is that we convert each measurement to the same unit. Both need to be km, or both need to be miles. This allows us to do a comparison to see which is bigger. Otherwise, it's like comparing apples to oranges.
Related Questions
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
b. The manufacturer decides to decrease the size of the box by reducing each of the dimensions by 1 inch. Find the decrease in surface area.
I already know what the surface area is please help me
Answers
Answer:
94 in, or about a 25% decrease.
Step-by-step explanation:
Starting surface area- 384
Decreased surface area- 290
384-290=94
To go from 384 to 290 would be a 24.48% decrease.
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $18. Option B is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answers
Inverse operations solving for X, question in picture attached. Whoever answers I will give brainy
Answers
Answer:
The Correct answer is C
cube both sides
I believe the anwer is c
hope this helps you
I need help with this one. :)
Answers
Answer:
it is c option 50 degree it must
Answer needed like rn please
Answers
-3x is the slope and 2 is the y-intercept
Step by step
We know slope intercept form
y = mx + b
We know coordinates
Points ( -1, 5 ) ( 1, -1 )
First find slope
Y2 - y1 over x2 - x1
-1 -5 over 1 -(-1)
-6 over 2 = -3
Slope is -3 (it is “m” in slope intercept form)
Now by looking at the graph we see the point the line crosses the y axis (our y intercept or “b”) is 2
So our answer is y = -3x + 2
A car salesperson earns 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? Remember this is a money answer so 2 decimal places.
Answers
Answer:
$1647.20
Step-by-step explanation:
28400x 5.8% which equals .058 in decimal form which gives you $1647.20
Ali cycled from Town A to Town B. He covered 1/5 of the trip in the first hour and 1/3 of the trip in the second hour. He took 2 hours to cycle the remaining 14 km. Fin his average speed for the whole trip.
I need this as soon as possible please answer this I will give brainlilest! :)
Answers
step by step explanation:
the ratio of students who perfer coke to pepsi is 5 out of 7 if 84 students were serveyed how many students perfer pepsi
Answers
Answer:
24 students prefer pepsi to coke
Step-by-step explanation:
84 divided by 7 is 12
12 times five is 60
84 minus 60 results in 24 students
Answer:
It is 49 students.
Step-by-step explanation:
So, 5:7 in fraction form is 5/12 and 7/12 so when you you multiply 7/12 and 84 you get 48.72 and then you can round your answer to 49 students.
I need help with finding the percent. Please help me with this
Answers
40%
The number twenty is double of 10 so think of it as 10 but double the reaction see 10 percent of 20 is .5 but 10% of 10 is one...double .5 hope this helps!
A football team was predicted to win 5 games this year. The team won 12 games. What was the percent error of the prediction?
Answers
Answer: 0.6
Step-by-step explanation:
Ask Siri
-0.4a + 1.2 = 3.6 what is a
Answers
-0.4a+1.2=3.6
Subtract 1.2 from both sides
-0.4a=3.6-1.2
Subtract1.2 from 3.6 to get 2.4
-0.4a=2.4
Divide both sides by -0.4
a=2.4/-0.4
Expand 2.4/-0.4 by multiplying both numerator and the denominator by 10
a=24/-4.
Divide 24 by -4 to get -6
a=-6
Answer:
\( \sf \: a = - 6\)
Step-by-step explanation:
Now we have to,
→ Find the required value of a.
The equation is,
→ -0.4a + 1.2 = 3.6
Then the value of a will be,
→ -0.4a + 1.2 = 3.6
→ -0.4a = 3.6 - 1.2
→ -0.4a = 2.4
→ -4a = 24
→ a = 24 ÷ (-4)
→ [ a = -6 ]
Hence, the value of a is -6.
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
without seeing a figure is it possible to give another name for
Answers
Answer:
no
Step-by-step explanation:
Please help me I'm desperate
Answers
The fraction of the whole athletic field that is reserved for each fifth-grade class is given as follows:
1/24.
How to obtain the fraction?The fraction is obtained applying the proportions in the context of this problem.
The relevant fractions in the context of this problem are given as follows:
1/6 of the field is reserved the entire fifth grade class.There are four fifth grade classes in the school.Hence the fraction of the whole athletic field that is reserved for each fifth-grade class is obtained as follows:
1/6 x 1/4 = 1/24.
More can be learned about proportions at https://brainly.com/question/24372153
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What is the solution to this inequality?
14x−5<−6
Responses
Ax<−4
x less than negative 4
Bx<4
x less than 4
Cx>4
x greater than 4
Dx>−4
x greater than negative 4
Answers
Less than 4
add 5 to both sides and u get the equation 14x<-1 then divide both sides by 14 to get x alone. that leaves you with x< -1/14 wich is then less than 4
Ms. Martin ordered new pom poms for her cheerleaders. She paid $157.94, which included 6% sales tax. How much were the pom poms before tax?
Answers
Answer:
$149.00
Step-by-step explanation:
Selling Price = Final Price / 1 + Sales Tax
(reverse tax calculator)
"For Example:
If your total receipt amount was $57.98, and you paid 1.07 percent in sales tax, you’d simply plug those numbers into our calculator to find out that your original price before tax was $57.37. From there, it is a simple subtraction problem to figure out that you paid .61 cents in sales tax."
Solve for x. The only reason I'm typing this part is because brainly only lets me type 20 characters for the minimum. Just help on this problem, and I hope it earns you some ez points.
Answers
Answer:
\(x=\frac{0.4}{0.32} =\frac{5}{4} =1.25\)
Step-by-step explanation:
Cross multiply:
\((3x-2.4)(0.1)=(8-x)(0.02)\)
Distribute:
\(0.3x-0.24=0.16-0.02x\)
Add 0.02x and 0.024 to both sides:
\(0.32x=0.4\)
Divide both sides by 0.32:
\(x=\frac{0.4}{0.32} =\frac{5}{4} =1.25\)
What are 2 ratios equivalent to 24:9
Answers
8:3
24 / 3 = 8
9 / 3 = 3
48:18
48 / 2 = 24
18 / 2 = 9
Answer:
A. 8:3
24/3 = 8
9/3 = 3
B. 48:18
48/2 = 24
18/2 = 9
Hope this helps out !!!!!!Bryan started to evaluate a decimal expression.
2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2
2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2
What will be the next step?
Answers
Answer:
division of 16 by 3.2
Step-by-step explanation:
2.5(4^2 ÷ 3.2 – 10(0.2) + 3)– 5.2
2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2
Next, he will perform multiplication and division inside parentheses, left to right.
2.5(5 – 10(0.2) + 3) – 5.2 . . . . . Bryan's next step
2.5(5 – 2 + 3) – 5.2
Then, he will finish evaluating inside parentheses by performing addition and subtraction left to right.
2.5(3 + 3) – 5.2
2.5(6) – 5.2
With parentheses evaluated, now we do multiplication and division, left to right.
15 – 5.2
Finally, addition and subtraction left to right.
9.8
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Find the perimeter FOR BRAINLIEST
Answers
helpme with this plsss
Answers
Answer:
7x + 96 = 180
Step-by-step explanation:
We are given that the right side of the equation should be 180 because that is equal to the sum of the triangle's interior angle measures.
We can solve for the left side by adding the triangle's interior angle measures.
(2x + 1) + (5x + 5) + 90
Remember that a right angle is 90°.
All we need to do from here is combine like terms:
= (2x + 5x) + (1 + 5 + 90)
= 7x + 96
So, the equation that represents the model is:
7x + 96 = 180
Answer:
C) 7x + 96° = 180
Step-by-step explanation:
their is one right angle and 2 equations. The sum of the interior angle is 180
90° + 2x + 1 + 5x + 5 = 180
Combine like terms
90 + 1 + 5 = 96
2x + 5x = 7x
7x + 96° = 180
HELP ME! 1/2h=17+2 solve for h.
Answers
Answer:
H=38
Step-by-step explanation:
Explanation:
1/2h=17+2
*17+2*
1/2h=19
*multiply both sides*
2*1/2h=19*2
*simplify*
H=38
Find the surface area of the cylinder. Express your answer in terms of π. (The diameter is 10 ft. and the height is 6 ft.) Please help this is urgent!!!!!!
Answers
Answer:
Step-by-step explanation:
A=2πd
2h+2π(d
2)2=2·π·10
2·6+2·π·(10
2)2≈345.57519ft²
so the answer is about 345.58
So now do (2 x π x 5^2) + (2 x π x 5 x 6) = 110 π = 345.5751919
Find the original price given the total amount and the tip rate. Total amount: $38.35 Tip: 18%
Answers
Answer:
The original price is 45.25$
$38.35 + 18% = 45.25$
The table shown below shows 4 different sized boxes of markers and the current price of each. The third column shows any current sales. Based on the price per marker, which box of markers is the best deal?
a. Box of 8 markers
b. Box of 12 markers
c. Box of 24 markers
d. Box of 30 markers
Answers
Answer:
i think b or c because that is kinda hard
The cost of a trail mix at the grocery store is normally $12 per pound but now the price has increased by 30%. What is the price per pound of trail mix now that the price has increased?
Answers
Answer:
15.6
Step-by-step explanation:
The price of trail mix has increased by $12 * 30/100 = $<<12*30/100=3.6>>3.6.
So the price per pound of trail mix now is $12 + $3.6 = $<<12+3.6=15.6>>15.6.
The required new price of the trail mix is $15.6 .
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The normal cost of trail mix at the grocery store = $12 per pound.
Als0, the price of the trail mix increased by 30%.
To find the price of trail mix after increasing the price,
Use percentage property,
Let the initial price was 100 %
So after increasing 30%, the new price becomes 130%.
The new price = 12 x 130% = 12 x 130 / 100 = 1560/100 = 15.6
The increased price of the trail mix is $15.6.
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https://brainly.com/question/24120406
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A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Plot (4, −1/2) on the coordinate plane.
Answers
Answer:
form the origin (0,0) move 4 units right and half an unit down
Answer:
I have attached the steps and answer
