0.2x + 1 = 1.6x + 3.1 What value of x satisfies the equation above?

Mathematics

2 answers:

guapka [62]3 years ago

5 0

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides: 1 = 1.4x + 3.1
Subtract 3.1 on both sides: -2.1 = 1.4x
Divide both sides by 1.4: -1.5 = x
Rewrite: x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
Multiply: -0.3 + 1 = -2.4 + 3.1
Add: 0.7 = 0.7

bagirrra123 [75]3 years ago

5 0

Your answer is -1.5

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Find the number of the different ways, for 3 students to sit on 7 seats in one row.

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Answer:

210

Step-by-step explanation:

Here comes the problem from Combination.

We are being asked to find the number of ways out in which 3 students may sit on 7 seats in a row. Please see that in this case the even can not be repeated.

Let us start with the student one. For him all the 7 seats are available to sit. Hence number of ways for him to sit = 7

Let us see the student second. For him there are only 6 seats available to sit as one seat has already been occupied. Hence number of ways for him to sit = 6

Let us see the student third. For him there are only 5 seats available to sit as two seat has already been occupied. Hence number of ways for him to sit = 5

Hence the total number of ways for three students to be seated will be

7 x 6 x 5

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