1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VikaD [51]
2 years ago
10

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?

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

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

You might be interested in
Instructions: Factor 182 as a product of primes. Input the number's prime factors in ascending order.
larisa86 [58]

Answer:

  2, 7, 13

Step-by-step explanation:

182/2 = 91

91/7 = 13

The prime factors of 182 are 2, 7, and 13.

  182 = 2×7×13

5 0
3 years ago
The two shortest sides of a right triangle are 10 in. And 24 in. long. What is the length of the shortest side of a similar righ
ivanzaharov [21]
If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
\sqrt{10^2 + 24^2} 
= \sqrt{676}
= 26

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If x = the scale factor the first triangle is enlarged by then
26x = 39 and 24x = 36 
⇒ x = 1.5

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
10(1.5) = 15
So the length of the shortest side of the other triangle is 15in.

You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.
5 0
3 years ago
Read 2 more answers
In the equation sqrt n+5 - sqrt n-10, what is the value of n?
irinina [24]
First, square the entire problem. Then add the n's and subtract 10 from 5. You will then get 2n-5=0. Add 5 to both sides, then divide by two to get the answer. (2n=5, n=2.5)
6 0
3 years ago
If there is an 8% tax on 1.00 item what is the total amount of the transaction
harina [27]
The total price would be $1.08! Hope this Helps :-)
4 0
3 years ago
Read 2 more answers
Hi,does anyone know what the answer is ??
cupoosta [38]
I think the median is 1
4 0
3 years ago
Other questions:
  • Solve this jjejsjssldhdjdjdksjsjsjs
    7·1 answer
  • Complete all parts to solve 2.3 * 3.2?
    14·1 answer
  • You decided to gather some information for how many days it rained over a period of time. You observed that it rained on 17 days
    5·1 answer
  • Colby adds 1 and 2 over 3 cups of flour to his mixing bowl and then realizes he put in too much. He take 1 over 4 cup of flour b
    13·1 answer
  • To find the missing value?
    9·2 answers
  • Find the missing length of the triangle 12 in and 35 in.
    6·1 answer
  • Divia draws a shape with 5 sides two sides are 5 inches long. Two other sides are each 4 inches long the whole is 27 inches what
    8·1 answer
  • Factorise first then solve these equations
    11·1 answer
  • PLEASE HELP ASAP! Giving brainlist
    5·1 answer
  • The sampling distribution of a statistic is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!