Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Pythagoras Theroem.
Leg₁²+leg₂²=hypotenuse²
Data:
Leg₁=48
hypotneuse=80
(48)²+ leg₂²=(80)²
2304+leg₂²=6400
leg₂²=6400-2304
leg₂²=4096
leg₂=√4096
leg₂=64
Answer: B. 64
Let x be the number of pages of advertisements.
Write a proportion from the table:
of a page of advertisment - 5 pages in a magazine
x pages of advertisment - 98 pages in a magazine,
then
Find x:
Answer: 13 whole pages and 
of 14th page are advertisments, so 14 pages contain advertisments.
Answer:
y = 1/6x + 5
Step-by-step explanation:
-x + 6y = 30
6y = x + 30
y = 1/6x + 5
