Answer:
Step-by-step explanation:
the third one
<h3>
Answer:</h3>
![\large\boxed{C).\,m= 5/3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BC%29.%5C%2Cm%3D%205%2F3%7D)
<h3>
Step-by-step explanation:</h3>
In this question, we're finding the slope of the line.
What this means is that we have to make the equation into slope intercept form.
Slope intercept form is: y = mx + b
In order to get the equation to slope intercept form, we have to get y by itself and solve from there.
Solve:
![-5x + 3y=30\\\\\text{Add 5x to both sides to get 3y by itself}\\\\3y=5x+30\\\\\text{Divide both sides by 3}\\\\y = 5/3x+30\\\\\text{The slope of the equation would be 5/3}](https://tex.z-dn.net/?f=-5x%20%2B%203y%3D30%5C%5C%5C%5C%5Ctext%7BAdd%205x%20to%20both%20sides%20to%20get%203y%20by%20itself%7D%5C%5C%5C%5C3y%3D5x%2B30%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20by%203%7D%5C%5C%5C%5Cy%20%3D%205%2F3x%2B30%5C%5C%5C%5C%5Ctext%7BThe%20slope%20of%20the%20equation%20would%20be%205%2F3%7D)
When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3><h3 />
Answer: B
Step-by-step explanation:
35 x 2 = 70 (since there are 2 weeks)
70 x 9.50 = 665
Answer:
About 300 of every 1,000 cars assembled should have one or more defects
Step-by-step explanation:
From the sample of 100 cars, we can estimate the total number of defective cars, using a rule of three.
In this question:
For each 100 cars, 30 defective.
How many defective for 1000?
100 cars - 30 defective
1000 cars - x defective
![100x = 30*1000](https://tex.z-dn.net/?f=100x%20%3D%2030%2A1000)
Simplifying by 100
![x = 30*10](https://tex.z-dn.net/?f=x%20%3D%2030%2A10)
![x = 300](https://tex.z-dn.net/?f=x%20%3D%20300)
About 300 of every 1,000 cars assembled should have one or more defects
You cannot solve for x but you can factor
to solve in ax^2+bx+c form you must find
b=x+y
a times c=x times y
so solve
3 times 3=9
what 2 number multily to get 9 and add to get 10
9=x times y
the numbers are 9 and 1 so
3x^2+1x+9x+3
(3x^2+1x)+(9x+3)
factor
(x)(3x+1)+(3)(3x+1)
reverse distribute
ab+ac=a(b+c)
(x)(3x+1)+(3)(3x+1)=(x+3)(3x+1)
factored out form is (x+3)(3x+1)