Answer:
they work together, it will take 2.4 hours to build the wall.
Step-by-step explanation:
One bricklayer can build a wall in 6 hours.
One hour work = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Another bricklayer can build the same wall in 4 hours.
One hour work = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
They can together, how long will take them to build the wall.
Let's take "t" the time taken to build the wall.
The sum of their work rate = 1 (To build the wall)
![\frac{t}{6} + \frac{t}{4} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B6%7D%20%2B%20%5Cfrac%7Bt%7D%7B4%7D%20%3D%201)
Now we have to solve this equation. Take LCD of 6 and 4.
The LCD (least common divisor) of 6 and 4 is 12.
![\frac{2t + 3t}{12} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B2t%20%2B%203t%7D%7B12%7D%20%3D%201)
5t = 12*1
5t = 12
Dividing both sides by 5, we get
t = ![\frac{12}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D)
t = 2.4 hours.
So, they work together, it will take 2.4 hours to build the wall.
Answer:
567,760,101,052
Step-by-step explanation:
Answer:
![x\leq 76](https://tex.z-dn.net/?f=x%5Cleq%2076)
Step-by-step explanation:
Let x = unknown number
![\implies \dfrac89 \times (x-4)\leq 64](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac89%20%5Ctimes%20%28x-4%29%5Cleq%2064)
![\implies \dfrac{8(x-4)}{9}\leq 64](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B8%28x-4%29%7D%7B9%7D%5Cleq%2064)
Multiply both sides by 9:
![\implies 8(x-4)\leq 576](https://tex.z-dn.net/?f=%5Cimplies%208%28x-4%29%5Cleq%20576)
Expand brackets:
![\implies 8x-32\leq 576](https://tex.z-dn.net/?f=%5Cimplies%208x-32%5Cleq%20576)
Add 32 to both sides:
![\implies 8x\leq 608](https://tex.z-dn.net/?f=%5Cimplies%208x%5Cleq%20608)
Divide both sides by 8:
![\implies x\leq 76](https://tex.z-dn.net/?f=%5Cimplies%20x%5Cleq%2076)
<h3>Slope = 10</h3><h3>y intercept at (0,750)</h3><h3>x intercept at (-75, 0)</h3>
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Explanation:
The function f(x) = 10x+750 is the same as y = 10x+750
It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.
The x intercept is found by replacing y with 0, then solving for x like shown below
y = 10x + 750
0 = 10x + 750
10x + 750 = 0
10x = -750 ....... subtract 750 from both sides
x = -750/10 .... divide both sides by 10
x = -75
So x = -75 plugged into the function leads to y = 0
Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.