Pattern:
10, 100, 1,000, 10,000, 100,000, 1,000,000, 10,000,000, and so on.
Step-by-step explanation:
First, you must start by using 10 and multiplying it 10 times, 10 x 10 = 100.
Then, with 100 you must multiply it by 10 again, 100 x 10 = 1,000.
Countiue and you will get it.
And good luck! <3
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:
They have the same value when x=5
Step-by-step explanation:
4x
Let x = 4
4*5 = 20
15+x
Let x =5
15+5 = 20
They have the same value when x=5
The value of y is 3 when x is 6.
Solution:
The given table is the amount of cheese in ounces and the cost price.
Let x represents the amount of cheese and y represents the cost price.
The formula which derived from the table is y = x ÷ 2.
That is 
.
<u>To find the value of y when x is 6:</u>
Substitute x = 6 in the formula, we get
y = 3
Hence the value of y is 3 when x is 6.
