Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term, that is,
.
To find the nth term of the sequence, this equation can be written as:

27,11, -5
So ![a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2027%2C%20a_%7B2%7D%20-%20a_%7B1%7D%20%3D%2011%20-%2027%20%3D%20-16%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Da_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)

The 53rd term of this arithmetic sequence is -805.
Answer:
<u>$33.25</u>
Step-by-step explanation:
Taking Eric's hours as a ratio to the total hours :
- 3.5 : 3.5 + 2
- 3.5 : 5.5
- 3.5 x 2 = : 5.5 x 2
- 7 : 11
Multiply the ratio into the amount paid :
- 52.25 x 7/11
- 4.75 x 7
- <u>$33.25</u>
<u></u>
Eric's share of the money is <u>$33.25</u>