Carlos and Maria drove a total of 197 miles in 3.8 hours. Carlos drive the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?

Answers

Answer 1

Answer: c=carlos's hour, m=maria
55c+47m=197
c+m=3.8
c=-m+3.8

55(-m+3.8)+47m=197
-55m+209+47m=197
-8m=-12
m=1.5

maria drove 1.5hr or 1 and a half hr.

Answer 2

Answer: Hello !

Maria : x $55y+47x=197 \n x+y=3.8 \n y=3.8-x$
Carlos : y

$55(-x+3.8)+47x=197 \n -55x+209+47x=197 \n 209-197=55x-47x \n 12=8x \n12/8=x \n 1.5=x \n \n Maria drove 1.5 hour or 1 hour 30 minute.$

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A jar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch. What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

The answer is 0.096.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur.

There are in total 15 cookies in the jar:
6 chocolate chip cookies + 9 peanut butter cookies = 15 cookies

The probability to drew 1 chocolate chip cookie is: $P_1= (6)/(15) = (2)/(5)$
The probability to drew 1 peanut butter cookie is: $P_2= (9)/(15) = (3)/(5)$

In this example, we have three events occurring together:
1. The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
2.The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
3. The probability that he drew 1 peanut butter cookie: $P_2= (3)/(5)$

By using the multiplication rule, the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie is 0.096:
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Ami purchases 27 T-shirts for a certain amount of money. Using m for the total amount of money in dollars that Ami spent on T-shirts, write an expression that represents how much one T-shirt costs

Answers

so total money=m
cost=total money
cost=number of tshirts times cost per tshirt
subsitute
m=27 times cost per shirt
to solve for cost per 1 shirt, divide both sides by 27
$(m)/(27)$ =cost per 1 shirt

answer is 1 t-shirt costs $(m)/(27)$

m = the total amount of money spent
y = how much each t-shirt costs
m / 27 = y
because:
y x 27 = m
so the equation is:
>m/27 = y

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