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levacccp [35]
3 years ago
6

Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours.

Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:

Step-by-step explanation:?

Andrej [43]3 years ago
5 0

Step-by-step explanation:

total hours = 8 1/4= 33/4

Sam = 1 1/3 = 4/3

john=1 5/6 =11/6

matt= twice as long as john= 2(1 5/6)= 11/3

Bob= x

4/3+11/6+11/3 + x =33/4

11+22+8/6 + x =33/4

41/6 + x =33/4

x = 33/4 - 41/6

x= 99-82/12

x=17/12

x =1 5/12

therefore Bob drove 1 5/12.

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A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once.
I am Lyosha [343]

Answer:

36

Step-by-step explanation:

This question can be solved using fundamental counting principle which means to say that if there are "m" ways  of doing one thing and there are "n" ways of doing other thing then there are total "m*n" ways of doing other things.

For example: if there are 4 type of pens and 3 type of notebook then there are "4*3" ways to write on notebook using  the pens.

_____________________________________________________

Using the above mentioned principle we have

 six sided cube with number 1 to 6  written on it hence in first roll there are six possible outcome(1 or 2 or 3 or 4 or 5 or 6) similarly there are 6 possible outcome in other roll as well.

If the combination of outcome is to be deduced then there are 6*6 ways of outcome based on  fundamental counting principle.

Hence there are 6*6 = 36 ways of possible outcomes.

_________________________________________________________

8 0
3 years ago
Summer vacation is 68 days long and 3/4 of the vacation has gone by. How many days are left? Explain!!
Stells [14]
17 days are left. 68/4*3 gives you that
4 0
3 years ago
Read 2 more answers
You earn $102 for doing 12 hours of yard work. Your friend earns $120 working at a store for 15 hours.
krek1111 [17]

Answer:

You earn more per hour and you would get $127.50

Step-by-step explanation:

You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!

3 0
2 years ago
PLEASE HELP<br><br><br> What is the value of x?
AleksAgata [21]
The angles inside a triangle add up to 180°
The 3rd angle is supplementary to (6x+1)°
Supplementary means they make a straight line (i.e 180°)

1st angle = 79°
2nd angle = (2x+10)°
3rd angle = 180° - (6x+1)°

180 = 79 + (2x+10) + 180 - (6x+1)
180 = 79 + 2x + 10 + 180 - 6x - 1
combine like terms
180 - 180 - 79 - 10 + 1 = 2x - 6x
-88 = -4x
-88/-4 = x
22 = x
3 0
3 years ago
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha
Alina [70]
<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

b + (c \times s)

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales \geq 2500

900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500

Solve the inequality

0.05s\geq 2500-900\\\\0.05s \geq  1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0
3 years ago
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