answer.
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
gogolik [260]
1 year ago
15

Amar cycles at a speed of 18km/h.

Mathematics
1 answer:
damaskus [11]1 year ago
7 0

Answer:

<em>The distance between the two villages is 16.5 Km</em>

Step-by-step explanation:

<u>Constant Speed Motion</u>

It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.

If v is the constant speed, the object travels a distance x in a time t, given by the equation:

x=vt

Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.

Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.

t=55 min = 55/60 hours

For the sake of precision, we won't operate the division so far. Compute the distance:

x=18 *55/60=16.5 Km

The distance between the two villages is 16.5 Km

You might be interested in
Two identical decks of 52 cards are mixed together, yielding a stack of 104 cards. How many different ways are there to order th
kumpel [21]

Answer:

here the order will be 104! =1.029e^{166}

Step-by-step explanation:

since the cards are to arranged in  no particular order that is why we used combination to find the result.

Combination can simply be explained as the method of selecting items from a collection of items where the order of the selections does not matter.

7 0
1 year ago
circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what
zloy xaker [14]

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

     /rn/ = /rp/

    /tm/ = /tn/

   /sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

 /rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

 /st/ = /sm/ + /tm/

     = 5 +10

 /st/ = 15

The length of side st is 15.

7 0
1 year ago
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3 kid's meal for his little brother. Charlie has $
Dominik [7]
Inequality:
5x - 3 ≤ 28

Answer:
5x - 3 <span>≤ 28
5x </span><span>≤ 31
x </span><span>≤ 31/5 or 6.2 ($6.20)</span>
8 0
1 year ago
Read 2 more answers
Sienna planned a rectangular pool, as shown in the scale drawing below.
svlad2 [7]

Answer:

The scale factor is

27.5 feet / 22 feet = 1.25.

Explanation:

Whenever you are calculating factors, you are comparing two measurements. In this problem we compared a longer length to a shorter length pool. The length was changed to (27.5 feet) and youre comparing to the length it was originally (22 feet).

Ok so you know the two measurements being compared, but how come it’s 27.5/22 and not 22/27.5? Because the value got bigger.

In this problem you had a pool with long side of 22 ft. But then you made it longer to 27.5 ft. So it scales up,

It went from 100% its length to 125% its length. So the length is 125% / 100% = 1.25 times longer than it used to be.

Here’s another example:

How do you calculate your grade percentage on a test? You take the amount of points you earned and divide by the total possible points. Your grade percentage is a comparison of your score (Compare value) compared to a perfect score (reference value) .

So lets say your test had 22 total points. You get all the answers correct so you get 22/22 points which is 22/22*100 = 100%. Let’s say you get an extra bonus question correct so you end up with even more points and you get 27.5 points out of 22. By getting the bonus points you scaled up your score! Now your score is 27.5/22 * 100 = 125%. So you went from 100% to a 125%. Or from a scale factor of 1 to 1.25.

Whenever the value is getting bigger than it was, you’re going to have a compared percentage over 100%. If the value gets smaller, then you would get a compared percentage less than 100%. Similarly a factor scale is going to be over 1 if the compared value is getting bigger, and less than 1 if it’s getting smaller.

So you don’t need to use percentages, factors are the same they just look a little different.

27.5/22 = 125% / 100% = 1.25

In summary just do this division:

(compare value)/(reference value). The result is how big the top value is compared to the bottom value.

5 0
1 year ago
Read 2 more answers
Jackson has ten dollar bills and one dollar bills in his pocket. The number of ten dollar bills is five more than six times the
Katyanochek1 [597]

Answer:

Let t be the number of ten dollar bills.

o×6+5=t

If you need it without t, then it's:

o×6+5

Step-by-step explanation:

Let t be the number of ten dollar bills.

o×6+5=t

We get this because the question said that there were more ten-dollar bills than 6 times the number of one-dollar bills.

5 0
1 year ago
Other questions:
  • Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab
    5·1 answer
  • Prove that f(x) = x^3 – 1000x^2 + x – 1 is ω(x^3) and o(x^3).
    13·1 answer
  • Write an equation for the cubic polynomial function shown. To find the equation of the function, first find the of the graph.
    5·2 answers
  • What's the weighted mean frequency for the following car sales? 2 sold at $25,090, 3 sold at $20,000, 1 sold at $21,475, and 1 s
    6·2 answers
  • Joe’s cell phone costs him $21 per month plus $3 for every 1GB of data downloaded. What is the limit to the number of GBs he can
    15·1 answer
  • ?Order: Add 125 mg of morphine sulfate to DW 250 mL stat. and infuse at 0.005? mg/kg/min.
    13·1 answer
  • Use the Euclidean Algorithm to demonstrate that 621 and 82 are relatively prime to each other. Explain.
    10·1 answer
  • Find x. Round your answer to the nearest tenth of a degree.
    8·2 answers
  • Find the slope, if it exists, of the line containing the points (-4,0) and (-5,3)
    15·1 answer
  • HELP PLEASE !!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!