Answer:
A.
Step-by-step explanation:
Let's first establish what we already know for this problem.
x = total number of hotdogs sold
y = total profit from total sales of hotdogs
Let's also establish the other equations which we will require in order to solve this problem.
Equation No. 1 -
Profit for 40 hotdogs = $90 profit
Equation No. 2 -
Profit for 80 hotdogs = $210 profit
STEP-BY-STEP SOLUTION
From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:
Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:
Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40
Now, make b the subject in the second equation as displayed below:
Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m
Then, substitute m from the first equation into the second equation.
Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30
Now, substitute b from the second equation into the first equation.
Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3
Through this, we have established that:
m = 3
b = - 30
Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:
y = mx + b
y = ( 3 )x + ( - 30 )
ANSWER:
y = 3x - 30
Answer: A,d,f
Step-by-step explanation:
Because you have to simplify the ratios of the colors.
<span>
One painter can finish a certain job 5 hours before another painter who is doing the same job. When they work together they can finish this job in 6 hours. How long does it take for each painter to do the job by himself? 6 hours</span>
<h3>
Answer: 4.2913 * 10^8</h3>
====================================================
Work Shown:
4.3*10^8 = 4.3 * 10^(3+5)
4.3*10^8 = 4.3 * 10^3*10^5
4.3*10^8 = 4.3*1000*10^5
4.3*10^8 = 4300*10^5
Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3
Then tack on the "*10^5" portion to get 4291.3*10^5
The difference in the number of strands is 4291.3*10^5
Convert this to scientific notation to get the final answer.
4291.3*10^5 = (4291.3)*10^5
4291.3*10^5 = (4.2913 * 1000)*10^5
4291.3*10^5 = 4.2913 * 1000*10^5
4291.3*10^5 = 4.2913 * 10^3*10^5
4291.3*10^5 = 4.2913 * 10^(3+5)
4291.3*10^5 = 4.2913 * 10^8
Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.
