Answer:
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/v/writing-expressions-1
Step-by-step explanation:
Answer:
2,322,775
Step-by-step explanation:
By the formula of sum of an Arithmetic Sequence
![S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\S_{650}= 325 [8+649\times 11]\\\\S_{650}= 325 [8+7,139]\\\\S_{650}= 325\times 7,147\\\\\huge \red {\boxed {S_{650}=2,322,775}}](https://tex.z-dn.net/?f=%20S_n%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%5B2a_1%2B%28n-1%29d%5D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3ES_%7B650%7D%3D%20%5Cfrac%7B650%7D%7B2%7D%20%5B2%5Ctimes%204%2B%28650-1%29%5Ctimes%2011%5D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3ES_%7B650%7D%3D%20325%20%5B8%2B649%5Ctimes%2011%5D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3ES_%7B650%7D%3D%20325%20%5B8%2B7%2C139%5D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3ES_%7B650%7D%3D%20325%5Ctimes%207%2C147%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Chuge%20%5Cred%20%7B%5Cboxed%20%7BS_%7B650%7D%3D2%2C322%2C775%7D%7D%20)
Answer:
The rate charged by first mechanic per hour= x =$85
The rat charged by second mechanic per hour =y = $70
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?
Solution
Let
x= hourly rate of the first mechanic
y= hourly rate of the second mechanic
Derive two equations to solve for the two unknowns
10x + 15y = 1900 (1)
x + y = 155 (2)
From (2)
x + y = 155
x=155-y
Substitute x=155-y into (1)
10x + 15y = 1900
10(155-y) + 15y =1900
1550 -10y + 15y =1900
5y =1900-1550
5y=350
Divide both sides by 5
y= 70
Substitute y=70 into (2)
x + y = 155
x + (70) =155
x=155 - 70
= 85
x= 85
The rate charged by first mechanic per hour= x =$85
The rat charged by second mechanic per hour =y = $70
Answer:
82% and 82/100 (or 41/50)
Step-by-step explanation:
multiply 100 times .82 to get the percent
.82 is 82/100
Answer:
- z+5+101=180°( being straight angle)
- z=180°-106°
- z=74°
<h3>hope it helps.</h3><h3>stay safe healthy and happy</h3><h3 />
