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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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Slav-nsk [51]

Answer:

I thinks its SAS

Step-by-step explanation:

SAS is Two sides and included agale of one triangle congruent to two sides

8 0
3 years ago
A bulletin board measuring 28 dm long was divided among three subject areas in the ratio 2:2:3. How much space was alothed for e
Sphinxa [80]

Answer: Space was alloted for each subject is 8 dm, 8 dm, 12 dm.

Explanation:

Since we have given the length of bulletin board =28 dm

Let the share of three subject areas be 2x,2x,3x

According to question,

2x+2x+3x=28\\7x=28\\x=\frac{28}{7}\\x=4dm

so x=4 dm

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Space was alloted for each subject is given as below:

First subject =2x=2\times 4=8 dm

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Third subject =3x=3\times 4=12 dm

4 0
3 years ago
Please help me out answer quick
drek231 [11]

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Step-by-step explanation:

8 0
3 years ago
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
How many different six-digit decimal numbers can be formed where the first digit is a 1 or the last digit is a 5?
Mariulka [41]

Answer:

10000 different numbers

Step-by-step explanation:

The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:

n^r

n is the number of options, n=10, and r the number of times you have to place a digit, r=4.

10^4=10000

3 0
3 years ago
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