Two men decide to drive to a distant town, taking the same route. The first leaves 2 hours ahead of the second and drives at 60 km per hour, while the second man drives at 90 km per hour. How many hours will it take the second man to catch up with the first man?

Answers

Answer 1

Answer:

Answer:

$t = 6\,h$

Step-by-step explanation:

Given that both men moves at constant speed on the same trail, the motion equations that describes each motion are, respectively:

Man 1

$x = 60 \cdot t$

Man 2

$x = 90 \cdot (t-2)$

Where x is measure in kilometers and t in hours, respectively.

The time taken for both men to meet each other is:

$60\cdot t = 90\cdot (t-2)$

$30\cdot t = 180$

$t = 6\,h$

Answer 2

Answer:

Answer: 4 hours

Step-by-step explanation:

2 x 60 =120

90-60=30

120/30= 4

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Jonas is making a trail mix recipe that calls for 3 1/2 cups of nuts and 1 1/2 cups of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing 1/4 of trail mix in each bag. How many plastic bags does Jonas needs?

Answers

Answer:

The total number of plastic bags is 20.

Step-by-step explanation:

It is given that Jonas is making a trail mix recipe that calls for $3(1)/(2)$ cups of nuts and $1(1)/(2)$ cups of raisins.

$Nuts=3(1)/(2)=(7)/(2)$

$Jonas=1(1)/(2)=(3)/(2)$

Jonas mixes the nuts and raisins together. Total number of cups in a trail mix recipe is

$(7)/(2)+(3)/(2)=(7+3)/(2)=5\text{ cups}$

It is given that he divide the mixture into plastic bags containing 1/4 cup of trail mix in each bag. So, total number of required plastic bags is

$(5)/((1)/(4))=5* 4=20$

Therefore the total number of plastic bags is 20.

3.5+1.5=5
There are five total cups
Assuming you mean 1/4 a cup and not 1/4 of the trail mix
That would be 4 bags a cup, so the equation would be 4 bags times 5 cups.
4*5=20
20 plastic bags

A restaurant sells 10 tacos for $8.49 or 6 of the same kind of taco for $5.40 which is a better deal

Answers

Answer:

10 for 8.49

Step-by-step explanation:

With the 6 for 5.40 each taco is 90 cents. With 10 for 8.49 each taco is Around 85 cents.

Answer:

The 6 taco deal is better

Step-by-step explanation:

The 6 taco pack is a better deal. This is because the 10-pack has a unit rate of about $8.00 per taco, and the 6-pack has a unit rate of about $5.00 per taco.

Please help me I am stressed it is ratio tables

Answers

Answer:

1/2/3/4/5/32

3/6/9/12/15/96

1/2/3/4/5/12

8/16/24/32/96

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

A person leaves home at 8.00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip?25x
6.5-x
x/25

Answers

time = distance / speed

distance= x
speed = 25 mph

time = x/25

1 ) Sandy likes to collect coins. Sandy got 31 coins from her brother, 25 coins from her mother, well as 36 coins from Keith. However, Sandy lost 24 coins before putting those coins into her piggy bank. How many coins does Sandy have in her piggy bank?

Answers

Answer:

sandy has 68 coins left

Step-by-step explanation:

do it step by step. add up all of the coins she got and then subtract the number she lost

What is the gcf of 44j5k4 and 121j2k6

the answe is d :11j2k4

Answers

The greatest common fact for the two given is 11jk2.

you would pull 11 our because both 44 and 121 are divisible by 11, the j because they both have one j, the k because they both only have one k that you can take out, and 2 because both 4 and 6 are divisible by 2 and it's the largest number that you can take out of the two.

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