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kipiarov [429]
4 years ago
10

Two cyclists leave a city at the same time, one going east and the other going west. The westbound cyclist bikes at 3 mph faster

than the eastbound cyclist. If after 6 hours they are 162 miles apart, how fast is each cyclist riding?
If you can solve this, can you please show your work and explain what I need to plug in where, and what equation I need to use? This is so confusing.
Mathematics
1 answer:
NikAS [45]4 years ago
7 0
We will say that the eastbound cyclist is going x mph. This means that the westbound cyclist is going x+3 mph.
They are both cycling for 6 hours and end up 162 miles apart.
Distance=rate*time
6x+6(x+3)=162
6x+6x+18+162
12x=144
x=12
So, the eastbound cyclist is going 12 mph.
Remember the westbound cyclist is going 3 mph faster, so s/he is going 15 mph.
Hope this helps!!
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1 5/8 divided by 3/8? Show your work pls.
Dafna1 [17]
Change mixed fraction to improper fraction and also the second fraction has to be reciprocal

Ex- 3/8= 8/3

So now the problem is

13/8*8/3= 13/3 (because you cross divide) Now, turn into fraction

Divide

13 divided by 3= 4 1/3

So your final answer is 4 1/3
7 0
3 years ago
Read 2 more answers
In March, Derrick had $25.50 in credit card debt.
Snezhnost [94]

Answer:

-20.50?

Step-by-step explanation:

I think you said he added 5 dollars in his account which would get some of his debt removed. But he would still have a remaining -20.50 dollars to get rid of.

8 0
3 years ago
Is the point (-1, 6) a solution to the equation?<br> Explain
Evgesh-ka [11]

Answer:

yes

Step-by-step explanation:

Graph the equation y = -3x + 3

Then graph the point (-1, 6).

If the line crosses the point, it is a solution.

In this case, it does, so (-1, 6) is a solution to the equation.

Hope this helps :)

4 0
3 years ago
Mole Conversion:<br> What is the mass of 3.13 x 1023 molecules of carbon dioxide?
4vir4ik [10]

Answer:

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

mass=\frac{0.52 moles*44 g}{1 mole}

mass= 22.88 g

<u><em>The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.</em></u>

8 0
3 years ago
Sidney has 4 hats and 2 scarves in a drawer. All the hats are the same size, shape, and material. Both scarves are the same size
hichkok12 [17]

Answer:

P(White\ n\ Blue) = \frac{1}{8}

Step-by-step explanation:

Given

Scarves: 1 green; 1 white

Hats: 1 blue; 1 red; 1 yellow; 1 purple

Required

Determine the probability of 1 blue hat and 1 white scarf

First, we need to determine the probability of blue hat

Total\ Hats = 4

Blue\ Hats = 1

Hence;

P(Blue) = \frac{1}{4}

Next, we determine probability of white scarf

Total\ Scarfs = 2

White\ Scarfs = 1

P(White) = \frac{1}{2}

Calculating the required probability;

P(White\ n\ Blue) = P(White) * P(Blue)

P(White\ n\ Blue) = \frac{1}{4} * \frac{1}{2}

P(White\ n\ Blue) = \frac{1}{8}

6 0
3 years ago
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