Answer:
Please include info on your lesson.
Answer:
Donuts(b) = 12*b
Step-by-step explanation:
Notice that the question is:
What's an expression to model the number of donuts in b boxes?
We know that we are talking of boxes of a dozen donuts.
We know that in one dozen, we have 12 donuts.
Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:
Donuts(b) = 12*b
There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:
See what is the thing we want to find (in this case, the number of donuts in b boxes)
Find the relevant information to solve this. (ignore the irrelevant information)
Solve the question.
<em>Greetings from Brasil...</em>
According to the statement of the question, we can assemble the following system of equation:
X · Y = - 2 i
X + Y = 7 ii
isolating X from i and replacing in ii:
X · Y = - 2
X = - 2/Y
X + Y = 7
(- 2/Y) + Y = 7 <em>multiplying everything by Y</em>
(- 2Y/Y) + Y·Y = 7·Y
- 2 + Y² = 7X <em> rearranging everything</em>
Y² - 7X - 2 = 0 <em>2nd degree equation</em>
Δ = b² - 4·a·c
Δ = (- 7)² - 4·1·(- 2)
Δ = 49 + 8
Δ = 57
X = (- b ± √Δ)/2a
X' = (- (- 7) ± √57)/2·1
X' = (7 + √57)/2
X' = (7 - √57)/2
So, the numbers are:
<h2>
(7 + √57)/2</h2>
and
<h2>
(7 - √57)/2</h2>
Hehe, I thought I'd get this one wrong, but x=10. Remember, that a straight angle must add up to 180 degrees. So I added all the angles; (3x+94)+(x+36)+(2x-4)=180. I took away the parentheses having 3x+94+x+36+2x-4=180. Remember from Algebra 1, to simplify terms, we add the polynomials. 94+36-4=126. 3x+x+2x= 6x. Our simplified equation is 120+6x=180. Now we can answer. 180-120=60. 60=6x. So therefore, for all x, x equals 10.
Yes it is. A gallon is 4 quarts, so he has more than enough. He has 2 quarts extra.
