Marisol left los angeles at 2: 30 to drive to santa barbara, a distance of 95 miles. the traffic was heavy until 3: 20. she drove the rest of the way in very light traffic and arrived at 4: 20. her speed in heavy traffic 40 miles per hour slower than her speed in light traffic. find her speed in heavy traffic and in light traffic

Step-by-step explanation:

Let x be the speed in heavy traffic and y be the speed in light traffic in miles per hour.

Total distance = 95 miles

Time taken in heavy traffic = 50 minutes = hour

We know that

Distance traveled in heavy traffic =

Time taken in light traffic = 1 hour

Distance traveled in light traffic =

Since, Total distance = 95 miles

Also, Her speed in heavy traffic 40 miles per hour slower than her speed in light traffic.

Multiply this equation by 5 on both sides, we get

Add (3) and (1), we get  (5x will be cancelled)

From equation, (2), we get

Hence, Her speed in heavy traffic is 30 miles per hour and in light traffic is 30 miles per hour.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages