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Lana71 [14]
3 years ago
10

A train left for Houston, and 7 hours later, a car traveling 62 mph tried catching up to the train. After 4 hours, the car caugh

t up. What was the train's average speed?
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer: 22.55 mph

Step-by-step explanation:

Let the speed of the train be n

4 × 62 = 248 which is the distance travelled by the car in 4 hours and the train travelled in 11 hours

11 × n = 248

11n = 248

n = 248/11

n = 22.55mph

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Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airline offers a rou
Finger [1]

Answer:

a. The Mexican Airline offers a better deal for 9 students to travel.  

b. 10 students

Step-by-step explanation:

a. The Mexican Air airline offers a round trip airfare of $250 per person.

So, for 9 students the fare will be total $(250 × 9) = $2250

Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.

So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.

Therefore, the Mexican Airline offers a better deal for 9 students to travel.  (Answer)

b. Let for x students both the airline offers the same total costs.

Then we can write  

250x = 1000 + 150x {From the conditions given}

⇒ 100x = 1000

⇒ x = 10

So, if the number of students is 10, then only both the airlines will take same fare. (Answer)

8 0
3 years ago
Solve 2x-8=-2-8. How do I do this
faust18 [17]
Is that negative 2 minus 8? if so put that into the calculator and add 8 to both sides and divide by 2 after that. simple algebra
5 0
3 years ago
Read 2 more answers
Rewrite using a single positive exponent.<br> 6^5<br> 6
Fiesta28 [93]

Answer:

6^{4}

Step-by-step explanation:

using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)}

note that 6 = 6^{1} , then

\frac{6^{5} }{6} = 6^{(5-1)} = 6^{4}

7 0
2 years ago
PLEASE HELP ME
pav-90 [236]

Answer:

C.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please help I’ll give brainliest if correct
Ira Lisetskai [31]

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

  • f(x)= 4x³ – 10
  • g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

4 0
2 years ago
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