Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown in the table.
Part A: Who runs faster?
Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?
Answers
Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Related Questions
A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr. The electric utility company in Laura's town charges $0.06001 for each
kilowatt hour used. Laura heats her house with three electric heaters that each use 1200 watts. How much does it cost to heat a house in one day? How many hours what a 75 watt lightbulb have to stay on to result in one dollar for electricity charges?
Answers
Answer:
It costs Laura $ 5,184.86 to heat her house one day.
A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
Step-by-step explanation:
Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:
(3 x 1200 x 24) x 0.06001 = X
(3600 x 24) x 0.06001 = X
86400 x 0.06001 = X
5,184.86 = X
Therefore, it costs Laura $ 5,184.86 to heat her house one day.
1 watt = 0.001 kilowatt
75 watt = 0.075 kilowatt
1 / 0.075 = 13.333
1 / 0.06001 = 16,663
13,333 x 16,663 = 222.18
Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.
PLZ CLICK!! Need help ASAP! I have a time limit.
Answers
Answer:
what's the question for this?
Answer:
33
Step-by-step explanation:
so this is perimeter and area
this is a nice question for 69 points (nice)
What's 34.5 x 2
A. 45
B. nice
C. 78
D. 50
Answers
Answer:
34.5 × 2 = 69
Step-by-step explanation:
pretty self explanatory
NO LINKS PLEASE I NEED REAL ANSWERS
What are the numbers missing on all blanks?
Answers
16/3 x+ 29/3
Determine if the sequence An is convergent. If the sequence is convergent, state its limit. If the series diverges, mark the sequence as either Divergent or Divergent because the sequence is unbounded (or -) S13 18 23 28 33 8 5n An 5 8 11 14 17 2 3n Convergent sequence whose limit is O Divergent O Divergent because the sequence is unbounded (or - 00)
Answers
Answer:
The answer is "[tex]\frac{5}{3}[/tex]"
Step-by-step explanation:
[tex]A_n={\frac{13}{5},\frac{18}{8},\frac{23}{11},\frac{28}{14},\frac{33}{17},..................\frac{8+5n}{2+3n}}\\\\[/tex]
[tex]\to A_n=\frac{8+5n}{2+3n}\\\\\to \lim_{n \to \infty} A_n = \lim_{n \to \infty} \ \frac{8+5n}{2+3n}= \lim_{n \to \infty} \ \frac{\frac{8}{n}+5}{\frac{2}{n}+3}=\frac{0+5}{0+3}=\frac{5}{3}[/tex]
In this sequence An is convergents where limits are [tex]\frac{5}{3}[/tex].
Solve the inequality |2x - 28] > 32
Answers
Answer:
X>30
Step-by-step explanation:
Well the brackets or parethesis or absolutvalue sign thingy doens’t ,matter. Out of all the signs that won’t do anything at all.
Solve it normally
add 28 on both sides
2x>60
60/2=30
x>30
Answer:
Answer should be...
2x - 28 > 32
ADD BY BOTH SIDES (NON-VARIABLES)
+ 28 + 28
2x > 60
DIVIDE BY VARIABLE NUMBER (2)
2x/2 > 60/2
x > 30
What is the volume?
help thanks ( :
Answers
Answer:
54 is the volume
Step-by-step explanation:
Multiply 9 * 2 * 3 = 54
Answer:
54
Step-by-step explanation:
...
What is the value of b?
Answers
Answer:
105°
Step-by-step explanation:
since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.
52+23=75
180-75=105
what I do is I just add the two degrees you already have and since we know the long line is 180° you would just subtract 180 and 75 :•)
Am I the only one that hates to see the “I can’t find the answers but here’s a link blah blah blah”
JUST GIVE ME THE ANSWER IM LOOKING FOR
Answers
Answer:
I know right! There so annoying!!
I agree because not all of us can access links and it's lazy
Find the slope of the line that passes through
(8,3) and (3, 4)?
Answers
————-
(X2-X1)
4-3
—— =
3-8
1/-5
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLLLLLLLLLLLLLLLLEEEEEEEEEEEEEAAAAAAAAAAAAASSSSSSSSSSSSSSSSEEEEEEEEEEEEEEE
Answers
Answer:
x = 12
Step-by-step explanation:
m<BCF and m<CFE are same-side interior angles.
Same-side interior angles are supplementary. This implies that:
m<CFE + m<BCF = 180°
where,
m<CFE = 11x°
m<BCF = 4x°
Plug in the values
11x + 4x = 180
15x = 180
x = 180/15
x = 12
what is 6+6 pls help :)
Answers
Answer:
its 12 sweety hope this helps
Hi, please help me with this math problem, I need to submit rly quick, thx.
Answers
Answer:
I think its B.
Step-by-step explanation:
How do -1 3/4 and 1 1/4 compare? Chose a symbol to make the statement true?
Answers
Answer:
the answer is <
Step-by-step explanation:
(NO LINKS)
Please help this assignment is over due and I don't get it thxx ;)
Answers
Answer:
12.5
Step-by-step explanation:
6 x 12.5 = 75
75 / 6 = 12.5
12.5 is the answer.
Answer:
12.5
Step-by-step explanation:
what is equivalent to 100+20
Answers
Answer:
hi
Step-by-step explanation:
100+20 is equal to 120
have a nice day
Answer:
I think what you are looking for is 120
Do the values of the numbers increase or decrease as the numbers go from -2 to -8?
Answers
Answer:
The number decreases
Step-by-step explanation:
The number decreases because if it's on -2 the way it will increase will be on going forward with no negatives
-x + 48 = 17 what os the value of x
Answers
Answer:
x=31
Step-by-step explanation:
we need to isolate x so we put 48 t the other side to make -x=17-48
we do 17-48 =-31 so -x=-31
x=31
Please answer all of these for 50 points!!!
Answers
Answer:
Line PQ = Line XY
Line QR = Line YZ
Line RP = Line ZX
Angle P = Angle X
Angle Q = Angle Y
Angle R = Angle Z
Step-by-step explanation:
They're the same shape, just rotated and with different letters.
Find the volume of the figure to the nearest tenth.
Answers
Answer:
150.8
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]
Hopefully this'll help you out!
If a wheel has a diameter of
35 inches, what is the area of
the wheel to the nearest foot?
Answers
Answer:
961.625 ≈ 962
Step-by-step explanation:
(A WHEEL IS A CIRCLE!)
To find the area of a circle, you must multiply the radius by itself twice, then, multiply the product by pi (radius x radius x pi).
Here, only the diameter is shown.
To find the radius, we must divide the diameter by 2.
35 / 2 = 17.5
17.5 is the radius.
17.5 x 17.5 = 306.25.
**3.14 is commonly used for pi**
Lastly, we multiply the product by pi.
306.25 x 3.14 = 961.625
961.625 rounded to the nearest foot is 962.
Therefore, the area of the wheel is 962 feet.
Help me for a brianly
Answers
the answer is 11.3
because the circumstance formula of circle is ,
[tex]\pi \: d[/tex]
PLS ANSWER ILL GIVE BRAILIEST IF RIGHT
Answers
Answer:
Its upside down. Cant see what it says
Step-by-step explanation:
Help please will mark brainliest!!
Answers
Answer:
p=12 is the answer for the question
Solve the equation 3 tan^2
x − 5 tan x − 2 = 0 for 0° ≤ x ≤ 180°
please explain
Answers
3y^2 - 5y - 2 = 0 so we solve for y
Δ = b^2 - 4ac (a=3 b=-5 c=-2)
Δ = 25 + 24 = 49
y1 = (5 + 7) / 6 = 12/6 = 2
y2 = (5 - 7) / 6 = -2/6 = -1/3
since tan is positive in the first and third quadrant and according to the question x belongs somewhere in the first two quadrants the following is true
for y1 = tanx = 2 only applies for the first quadrant ( from 0° to 90°) while for y2 = tanx = -1/3 it can only apply for the second quadrant (from 90° to 180°). i hope this made sense because english is not my first language.
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answers
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
Please help answer my question i dont know how to solve it.
Answers
x-4y=3
please answer this question, this is based in circumference, radius and diameter
Answers
Answer:
If the radius of the circle is 7cm . Its area is 154cm square.
Work out the circumference of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
Answers
Answer:
Final Answer 25.12
Step-by-step explanation:
This is very simple you can use two formulas to find the circumfrence of the circle. You can either use C=2πr or C=πd.
For this problem you will be using C=2πr since r is radius and the radius is 4.
C=2*3.14*4
C=6.28*4
C=25.12
Hope this helps.
Explain what the vertical line test is and how it is used.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
{x | x = –5, –4, –2, 0, 2}
{y | y = –9, –3, 0, 5, 7}
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
Answers
✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]
Part 1 :
☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function.If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.( See the attached picture )
In the picture ' 1 ' , The vertical line ( dotted line ) cuts the graph at one point ( P ). Thus the graph represents a function.In the picture ' 2 ' , The vertical line ( dotted line ) cuts the graph at two points P & Q. So, the graph does not represent a function.Part 2 :
☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).
Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.
♕ Hope I helped! ♡
☄ Have a wonderful day / night ! ☼
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Sample Response:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.