To solve this problem, let us say that the action of
totally painting a small house is called “1 job”. Therefore the rates of each
person in painting the small house are:
Bill = 1 job / 3 days = 1 / 3
Sharon = 1 job / 4 days = 1 / 4
Wilber = 1 job / 5 days = 1 / 5
Therefore the total rate is calculated by simply adding
the rates of the three.
(1 / 3) + (1 / 4)
+ (1 / 5) = 1 / x
where x is the number of hours it take if all them paint
together
Calculating for by multiplying both sides by 60:
60 [(1 / 3) + (1 /
4) + (1 / 5) = 1 / x]
(60/3) + (60/4) + (60/5) = 60 / x
20 + 15 + 12 = 60 / x
47 = 60 / x
x = 60 / 47 hours
Answer:
60/47 hours
(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)
1. Just because a number looks big, doesn't mean it is big
Example: 1.00000000000001 < 1.1
just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"
2. Negative numbers are... opposite. and they are less than positive numbers
-3.4 > -4.1
Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers
I hope these tips helped!! :D
Step-by-step explanation:
is it like this ? no diagrams ?
Answer:
$106.25
Step-by-step explanation:
earns in 1 hour = $8.50
earns in 12.5 hr= $8.50*12.5= $106.25
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
