Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

a theater can seat 638 people. the number of rows is 7 less than the number of seats in each row. how many rows of seats are there?

Sagot :

RhysH
form an equation using the information given.
x = number of sets in a row
x - 7 = number of rows
x(x - 7) = 638
x^2 - 7x = 638
make a quadratic equation
x^2 - 7x - 638 = 0
then solve either using quadratic equation or find two numbers that add to make -7 and multiply to make -638, one number is negative and one is positive, as the product of the numbers is negative.
-29 + 22 = -7
-29 x 22 = -639
then put into brackets
(x - 29)(x + 22) = 0
when the equation equals zero you can find two values for x
x = 29 or -22

apologiabiology
rows =x
seats per row=x+7
and total seats = rows times seats per row or x(x+7) or x^2+7x=seats =638
so if you subtract 638 from both sides you can get an equation thatyou can factor out (x^2+7x-638)=0
638 factors out to 2 times 11 times 29 so
(x-22)(x+29)=0
so x-22=0
x=22
or x+29=0
x=-29 but you can't have a negative number of rows so this answer is wrong
so the answer is there are 22 rows and 29 seats (22+7=29)


We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.