Answer:
yes
Step-by-step explanation:
Answer:
1. We assume, that the number 33.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 33.39 is 100%, so we can write it down as 33.39=100%.
4. We know, that x is 13% of the output value, so we can write it down as x=13%.
5. Now we have two simple equations:
1) 33.39=100%
2) x=13%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
33.39/x=100%/13%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 13% of 33.39
33.39/x=100/13
(33.39/x)*x=(100/13)*x - we multiply both sides of the equation by x
33.39=7.6923076923077*x - we divide both sides of the equation by (7.6923076923077) to get x
33.39/7.6923076923077=x
4.3407=x
x=4.3407
now we have:
13% of 33.39=4.3407
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:
70% → 70.00 → 0.70 → 0.7
70% percent can be seen as 0.7. Multiply this by 80:
So, 70% of 80 is 56. Desmond sold 56 cups on the second Saturday.
:Done
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
Our given inequality is:
-7x < -42
To solve for the inequality, we need to simplify for x and ensure we've carefully answered the question.
Currently, x is being multiplied by -7.
To get x by itself, we need to perform the opposite of what's being done.
Remember, what you do to one side of an equation/inequality, you must do to the other.
The opposite of multiplying is dividing.
Divide -7x by -7 to get x.
-7x / -7 = x
-42 / -7 = 6 (Dividing a negative by a negative makes a positive, the same goes with multiplying)
You're left with x < 6
When we divide/multiply by a negative, we need to flip the inequality with the opposite value.
Your final inequality is:
x _> 6
I hope this helps you. :)
