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blondinia [14]
2 years ago
14

One motorist travels 5 km.hr faster than another. They leave from the same place and travel in opposite directions. What is the

rate of each if they are 195 km apart after 3 hours?
Mathematics
1 answer:
stich3 [128]2 years ago
7 0
Answer:
One is going 30 km/hr and one is 35 km/hr

Step by Step Solution:

So, 30x3= 90. The first went 90 miles in one direction
35x3=105. The second went 105 km/hr in the other direction.

105+90=195
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cupoosta [38]

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

7 0
3 years ago
In which quadrant is the ordered pair ( 7, -8 ) located? *
Paul [167]

Answer:

i think IV

Step-by-step explanation:

because of the picture

4 0
3 years ago
Read 2 more answers
Question 6
inn [45]

Answer:

c

Step-by-step explanation:

4 times 2 is 8. 3 and 3 times -4 is -12

8 minus -12 is negative 4

7 0
3 years ago
Use the given information to solve the triangle for A = 150°, b = 4.8, a = 9.4
ELEN [110]
Well you can start by drawing a triangle with the information 

the size of angle B can be found using the Law of Sine

\frac{sin(150)}{9.4)}  =  \frac{sin(B)}{4.8}

the size of angle C can be found using angle sum of a triangle. 

The length of side c can be found using the Law of Cosines

c^2 = 4.8^2 + 9.4^2 - 2 \times4.8\times9.4\times  cos(C)

hope it helps
7 0
3 years ago
Use the recursive formula to answer the question.
scZoUnD [109]
You know a1.
So find a2, a3, and so on until a7.

a(1) = 12
a(2) = 16
a(3) = 20
a(4) = 24
a(5) = 28
a(6) = 32
a(7) = 36
Each is 4 more than the previous.
4 0
3 years ago
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