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Sphinxa [80]
3 years ago
12

Solve the proportion to determine the value of x4x/15=60/x

Mathematics
1 answer:
frozen [14]3 years ago
4 0
4x/15 = 60/x
4x^2 = 900
x^2 = 225
x = 15 
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distance = speed x time

distance = 2.35 x time

distance = 2.35 x 5

distance = 11.75 feet in 5 minutes

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An eastbound train left at 12pm. Four hours later, a westbound train left the same station. At 8pm, the two trains were 400 mile
Ainat [17]

Answer:

Step-by-step explanation:

Gotta love these motion problems!  

d = rt is what we need here to solve this, along with some logic.  

If the EB (eastbound) train left at noon then at the end of its travels, at 8pm to be specific, it was traveling for 8 hours.  Therefore, for the EB train, t = 8.

If the WB train left at 4 pm then at the end of its travels, also at 8pm, it was traveling for 4 hours.  Therefore, for the WB train, t = 4.

The distance between the trains is given as 400 miles.  That 400 mile distance is due to the fact that each train traveled a distance of rate*time.  The distance the WB train traveled + the distance the EB train traveled = 400 miles.  Now we just need to find out the distance each traveled in its respective time frame.  

For the EB train.  We already know that t = 8.  We do not know how fast it's going, so rate is just r.  In the distance formula, d = rt:

d_{EB}=8r

For the WB train.  We already know that t = 4.  We do not know this rate either, but we do know that it is traveling 10 mph faster than the EB train, so rate is r + 10.  In the distance formula, d = rt:

d_{WB}=4(r+10)  and

d_{WB}=4r+40  

We have already determined that

d_{EB}+d_{WB}=400 so

4r + 40 + 8r = 400 and

12r + 40 = 400 and

12r = 360 so

r = 30

That means that the EB train is traveling 30 mph and the WB train then has to be traveling 40 mph.

These are quite difficult...I get it.  They drive all my students, regardless of what math level they are in, absolutely batty!!!

5 0
3 years ago
Read 2 more answers
Jacob started a savings account with a 1% annual simple interest rate. His principal deposit was $147. He saved the money for 6
miss Akunina [59]

Answer:

The interest Jacob earns after 6 years is $8.82

Step-by-step explanation:

The given parameters are;

The simple interest rate of the savings account, R = 1%

The principal deposit to the savings account, P = $147

The time duration Jacob saved the money, T = 6 years

The formula for simple interest, I, is given as follows;

I = \dfrac{P \times R \times T}{100}

Substituting the known values gives;

I = \dfrac{147 \times 1 \times 6}{100} = 8.82

The interest Jacob earns after 6 years = $8.82.

3 0
2 years ago
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