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elena55 [62]
2 years ago
8

John left the museum and drove south at a rate of 55 mph. Sally left four hours later driving 10 mph faster than John in an effo

rt to catch up to him. How
long did Sally have to drive to catch up with John?
28 hours
22 hours
20 hours
18 hours
Mathematics
1 answer:
Leona [35]2 years ago
5 0

Answer:

22 hours (B)

Step-by-step explanation:

John's velocity = 55mph

Sally's velocity = 65mph

John's time taken = x

Sally's time taken = x - 4

since they must cover the same distance.

and, distance = vel × time

Sally's vel × time = John's vel × time

55x = 65(x-4)

55x = 65x - 220

-10x = -220

x = 22 hours.

Therefore, Sally catches up after 22 hours

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Answer:

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Step-by-step explanation:

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2 years ago
Find the length of the hypotenuse of a right triangle if a = 3 and b = 4.
Mandarinka [93]

Answer:

5..(b)

Step-by-step explanation:

Pythagoras theorem states that

Hypotenuse(squared)=opposite(squared)+ adjacent(squared)

hypotenuse=?,opposite=3,adjacent=4

hyp(squared)=3(squared)+4(squared)

hyp(squared)=9+16

hyp(squared)=25

find the square root of both sides

hypotenuse=5

4 0
3 years ago
Read 2 more answers
Find the value of x. (5x+15) (6x-10)
Blizzard [7]
(5x+15)(6x-10)
= 30x^2 + 30x - 50x - 150
= 30x^2 - 20x - 150
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3 years ago
Read 2 more answers
There are 140 legs on a planet zids have 5 legs and zods have 7 legs h=how many soulutions are there
abruzzese [7]
Number of zids=x
number of zods=y
number of zid legs=5x
number of zod legs=7y

so
5x+7y=140
try to get it into slope intercept from so you can graph is (y=mx+b)
5x+7y=140
subtract 5x from both sides
7y=140-5x
divide both sides by 7
y=20-5/7x
y=-5/7x+20

plug in numbers for x and get numbers for y (you can only plug in multiples of 7 for x so that there are a whole number of zids and since you are counting, x and y must never be negative)

lets try 0 for x

y=-5/7(0)+20
y=20
 so x=0 and y=20 is an answer (if you can have only one of that species)


lets try 7 for x
y=-5/7(7)+20
y=-5+20
y=15

so x=7 and y=15 is an answer


lets try 14 for x

y=-5/7(14)+20
y=-10+20
y=10

so x=14 and y=10 is another answer


lets try 21 for x
y=-5/7(21)+20
y=-15+20
y=5

so x=21 and y=5 is another answer


lets try 28 for x
y=-5/7(28)-20
y=-20+20
y=0

so x=28 and y=0 is an answer (if there can be only one of a species)


if we go further, then y will be negative so the answers are

(x,y)
(0,20)
(7,15)
(14,10)
(21,5)
(28,0)

if it is allowed that only one species exists then there are 5 possible answers
if both must exist simultaneously, then there are only 3 answers
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8 0
3 years ago
A system of
jok3333 [9.3K]

Answer:

A system of

equations with infinitely many solutions would be represented on a graph

by parallel lines.

True

or

False

It would be True

Step-by-step explanation:

8 0
3 years ago
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