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brilliants [131]
3 years ago
6

A student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes. Select the function that describes his distance fr

om the finish line after x minutes.
Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0
Alright, so we know that the race is 5 kilometers, so the equation will be 5-<some value>= <distance from finish line>. We also know that the student runs a kilometer every three minutes, so 3x=1km . Multiplying both sides by 5, we get 15y=5km (y being the number to make the equation make sense, or the slope). When the student has run 5km, the distance from the student to the finish line should be 0, so we get that 5-5=0, and plugging 15y in for 5 we get 5-15y=0. For 15x to equal 5, 3y=1 and y=1/3. Therefore, we plug that in for y, getting 5-15(1/3)=0. However, we have to make it for all times! Since 15 represents the minutes, we make that x, and since 0 represents the distance remaining, we make that the distance remaining, making it 5-(1/3)x=distance left. You can also think of y as the slope in y=mx+b - it stays constant that way.



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What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?
Leviafan [203]

Answer:

C -36

Step-by-step explanation:

8 0
3 years ago
Joan adopt two kittens snowflake has a mass of 2 kg and midnight has a mass of 997 g what is the difference between the masses o
exis [7]

Answer:

Given,

mass of snow flake = 2 kg

mass of midnight = 997 gm

Now,

1 kg = 1000 gm

2 kg = 1000 * 2

= 2000 gm

therefore the difference between the masses of the kittens = 2000

- 997

= 1003 gm (is the answer)

7 0
3 years ago
A sign language club made $627. 50 from selling popcorn at a festival. The popcorn cost the club $95. 0. Which expression repres
solmaris [256]

The expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a \times 1 so a/b = 1 \times (a/b) = (1/b) \times a )

<h3>How to find the profit earned?</h3>

Profit earned is the extra money which we make after deducing the cost price of the process we're doing.

So, we get:

Profit earned = Total amount earned - Amount spent initially for preparation to earn

P = Selling price (S.P.) = Cost price (C.P.)

For the given case, we're given that:

  • Amount made by the sign language club by selling popcorn at a festival = $627.50
  • The cost price for the popcorn to the club = $95.0

The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn

Money raised = $627.50 - $95.0

If it is given that: m = number of members in the considered club, then:

Money each member of the considered club will get = Money raised divided in equal m parts = \dfrac{627.50 - 95.0}{m} (in dollars)

(we don't write symbols like of currency generally, and understand it from context.)

Thus, the expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

Learn more about division here:

brainly.com/question/26411682

8 0
2 years ago
last week at a festival, a man sold 3 times as many tie-dyed T shirts as silk screened shirts. He sold 168 shirts altogether. Ho
jonny [76]
Ratios shall be used
Selling 3x as many tie-dyed as silk is the equivalent of ratio 3:1 (Three tie dies for 1 silk)
Add up the total numbers in the ratio (By that I mean 3 + 1) to get 4
Divide the total number sold by 4 to get 42
Multiply 42 by 3 (The number of tie dyes sold in the ratio) to get 126
126 tie-dyed shirts were sold
6 0
4 years ago
The total cost of the skateboard is $ ?​
attashe74 [19]
About $76 my dude expensive
4 0
3 years ago
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