Hello.
First, let the number be r.
5 times r is written like this:

Now, add 45:

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

In order to solve this equation, we need to add 85 and 140:

Now, subtract 45 from both sides:



The last step is to divide both sides by 5:

Therefore, the answer is

I hope it helps.
Have a nice day.

Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from chart.</em>
Point (2, 0)
Point (3, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>. Rate of change and slope are identical.
- Substitute [SF]:

- Subtract:

- Divide:

Answer:
x = 11
Step-by-step explanation:
(0.3x - 2.1)/3 = 0.4
0.3x - 2.1 = 0.4 * 3
0.3x - 2.1 = 1.2
0.3x = 1.2 + 2.1
0.3x = 3.3
x = 3.3/0.3
x = 11
Answer:246.475
Step-by-step explanation:
79+167+19/40
Answer:
Simon: 55 hours
Alvin: 70 hours
Theodore: <u>159</u> hours
Total: 284 hours
Step-by-step explanation:
Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.
We are told that:
A = S + 15,
T = 3S - 6
and
A + S + T = 284
Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:
A + S + T = 284
(S + 15) + S + (3S - 6) = 284
5S + 9 = 284
<em><u>S = 55</u></em>
Now use this value of S in the first two equations to find A and T:
A = S + 15
A = 55 + 15
<u><em>A = 70</em></u>
T = 3S - 6
T = 3*55 - 6
<em><u>T = 159</u></em>
<u></u>
<u>(55 + 70 + 159) = 284</u>
<u></u>