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3 years ago

Could someone explain 21 = -7n please?

Mathematics

1 answer:

Roman55 [17]3 years ago

3 0

Answer:

n = -3

Step-by-step explanation:

The question is asking you to solve for your variable N. To do so, you must use difference operation(s) and their respective principle of equality to isolate the variable.

To get n by itself on one side of the variable, the term -7n by -7. What you do to one side of the equal sign, you must also do to the other due to the division principle of equality. Thus, you also divide 21 by -7.

$\frac{21}{-7} = \frac{-7n}{-7}$

Once you simplify, you are left with -3 = n or n = -3, which is your answer.

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2 years ago

Derek and Donnie mow 15 lawns over two 2 days. If Derek mows 3 lawns per hour and Donnie mows 2 lawns per hour, write an equatio

fenix001 [56]

Answer:the two equations that model the situation are

x + y = 48

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Step-by-step explanation:

Let x represent the total number of hours that Derek worked.

Let y represent the total number of hours that Donnie worked.

Derek and Donnie mow 15 lawns over two 2 days. There are 24 hours in a day. Therefore, the number of hours in 2 days would be 2 × 24 = 48 hours. Therefore

x + y = 48 - - - - - - - - - -1

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3 years ago

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?

LuckyWell [14K]

The area of a triangle is determined by the formula: Base x Height * 1/2

You'll need to assign a base to the triangle. Based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). The distance between any two numbers is found by just subtracting them. Here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

So the distance (aka the length of the base) is 4. The height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). We should subtract the y values this time to find the height/distance.

4 - 1 = 3

So the height is 3.

Base = 4

Height = 3

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3 years ago