Answer:
In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Step-by-step explanation:
As the recipe is missing in this question, the recipe is found online which given following information
- Abel needs 5 cups of flour to make brownies.
- If Abel uses 4 cups of sugar.
- he will need to use 2 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 1 egg.
Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.
This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.
Now in order to make 45 brownies
- Abel needs 5*5 =25 cups of flour to make brownies.
- If Abel uses 5*4=20 cups of sugar.
- he will need to use 5*2=10 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 5*1=5 egg.
So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
They traveled 292 miles on day two.
Known: On the first day they traveled 365 and on the second they traveled 20% less.
Solution:
If they traveled 20% less on the second day, that means they traveled 80% of the distance they traveled the first day.
365 miles * .8 = 292.
You could also solve this as:
20% of 365 is 73 miles
365 * .2 = 73.
So they traveled 73 less miles on the second day.
365 miles on the first day - 73 miles less on the second day = 292 miles.
I hope this helps!
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula, 
for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
The answer to your question is $231
