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tankabanditka [31]
3 years ago
6

Enter the value of n so that the expression (y + 2) + (3y - 5) is equivalent to (ny- 3)

Mathematics
2 answers:
matrenka [14]3 years ago
5 0

Answer: n = 4

Step-by-step explanation: you combine the like variables which turns it into

(4y - 3)

(4y - 3) is <em>another</em> way of saying ((4 x y) - 3)

So the 4 is turned into n making it (ny - 3)

r-ruslan [8.4K]3 years ago
5 0

Step-by-step explanation:

(y+2) + (3y-5) = (ny-3)

Step 1: Remove the brackets as the terms in brackets are separated by an addition sign.

y + 2 + 3y - 5 = ny - 3

Step 2: Join the like-terms.

4y - 3 = ny - 3

From here, you can either do logical reasoning that n = 4 because lefthand side should be equal to righthand side or you continue by making n subject of the formula which obviously gives you 4 :)

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Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

=> The time Lian has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = x/ 250 (hour)</em>

As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

=> When two train pass each other, Yuto has traveled 1,880 - x (km)

=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

<em> </em>

6 0
3 years ago
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There are 2121 students in a school. A PE teacher wants to arrange maximum possible number of students in the field such that th
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Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

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Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

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Combine like terms

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Answer:

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