Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12
Root4 < root7 < root9
2 < root7 < 3
14/5 = 2.8
root7 is an irrational number which is likely less than 2.8
Step-by-step explanation:
3 : x = -7.5
5 : x = -10
6 : x = 12
remaining answers are correct
Answer:
3b+3s
Step-by-step explanation:
According to the statement, Kharon needs to write 3 book reports with b pages. This means that he has 3 books and each of them has b amount of pages which you can express as b+b+b that is equal to 3b. Also, he has 3 science reports with s pages which is 3s. In order to find the total number of pages, you have to add up 3b plus 3s. According to this, the algebraic expression for the total number of pages Kharon will need to write is: 3b+3s.
Answer:
The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):
x² + x² = 18²
2x² = 324
x² = 162
x = 9√2
