andrespacheco5888
15.12.2020 •
Mathematics
The water park is a popular field trip destination. This year the senior class at high school a and high school b both planned trips there. The senior class at high school a rented filled 4 vans and 14 buses with 742 students. High school b rented and filled 4 vans and 6 buses with 350 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
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Ответ:
x = buses
y = vans
our equations will look something like this :
4x + 14y = 742 &’
4x + 6y = 350
let’s solve for y first . we need to cancel out our x’s so we turn on of them into a negative and since both of them have the same common factor we don’t need to find it . let’s multiply the bottom equation by ( -1 )
here’s what our new equations look like :
4x + 14y = 742
-4x - 6y = -350
now that our x’s are cancelled out we add our y’s and our totals :
14y + ( -6y ) = 8y
742 + ( -350 ) = 392
we want y alone so we divide :
392/8 = 49
y = 49
now we can substitute 49 for y :
4x + 14 ( 49 ) = 742
4x + 6 ( 49 ) = 350
we can multiply those numbers together :
4x + 686 = 742
4x + 294 = 350
now we add downward :
8x + 980 = 1,092
we need x alone so we subtract 980 from both sides :
8x = 112
divide by 8 :
x = 14
now , we can substitute 14 for x and 49 for y to check our work :
4 ( 14 ) + 14 ( 49 ) = 742
742 = 742 ✅
4 ( 14 ) + 6 ( 49 ) = 350
350 = 350 ✅
Ответ:
Option C, 9 * 10^-3
Step-by-step explanation:
Step 1: Multiply
(4.5 * 10^-7) * (2 * 10^4)
9 * 10^-3
Option C, 9 * 10^-3