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Pachacha [2.7K]
3 years ago
9

Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 8 miles per hour. Sydney bikes at 12

miles per hour. Which statement is true? 1) nathan arrives 1 hour later than sydney 2)nathan arrives 4 hours later than sydney 3)sydney arrives 1 hour before nathan 4) they arrive at the same time
Mathematics
2 answers:
Gnom [1K]3 years ago
8 0
Sydney would arrive one hour before Nathan. 24/12=2 and 24/8=3
Zina [86]3 years ago
7 0

Answer:

3) Sydney will arrive one hour earlier than Nathan

Step-by-step explanation:

(How long it will take for Sydney to finish)24 mi/12 mi per hour=2 hours

(How long it will take for Nathan to finish)24 mi/8 mi per hour=3 hours

3 hours- 2 hours= 1 hour


<h2>If you didn't know...</h2><h3>/=Division sign</h3>
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What is the inverse of the function f(x) = x – 12?
maxonik [38]

Answer:

f(x)^-1=x+12

Step-by-step explanation:

f(x)=x-12

y=x-12

x=y-12

y=x+12

f(x)^-1=x+12

Hope it helps.

6 0
3 years ago
Read 2 more answers
Determine the solution of the system. Show your work
Oxana [17]
First question:

1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)

Second question:

1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
3 0
3 years ago
I don’t know how to do any of this
mojhsa [17]

Answer:

The length of x in #1 is 15.57

Step-by-step explanation:

Let's use #1 as an example to teach show you how to do this. In a right triangle we can solve these using trig. In this particular one, we have the measure adjacent to the angle and we are looking for the one opposite of the angle. So we look at all the trig functions and select the one that uses both of those two terms.

Sinα = Opp/Hyp

Tanα = Opp/Adj

Cosα = Adj/Hyp

As you can see, Tan is the function we are looking for. So we plug in all known information into that equation.

Tanα = Opp/Adj -----> Plug in known values

Tan(60) = x/9 ----->Calculate out the trig function

1.73 = x/9 -----> Multiply by the denominator to solve

15.57 = x

3 0
3 years ago
randy earns $14.50 per hour for the first 40 hours worked in a week and $21.75 per hour for hours over 40. Last week Randy earne
Nutka1998 [239]

Answer:

4 hours

Step-by-step explanation:

We know the following:

Total amount Randy earned: $667

Pay for first 40 hours: $14.50 per hour

Pay after 40 hours: $21.75 per hour

We need to find the total extra hours: x

If the total number of hours worked are, T, then: x + 40 = T

Total pay received for the first 40 hours: 40 \times 14.50 = 580

If out of $667, Randy earns $580 from the first 40 hours, the left over are earned by extra hours.

$667 - $580 = $87 ------- (a)

Total pay received for working after 40 hours: 21.75x

We know from eq (a)  that total pay is 87, hence we can find the number of hours using this.

21.75x = 87\\\\x = \frac{87}{21.75}\\\\x = 4

Randy worked 4 extra hours.

6 0
3 years ago
Few math questions TIME IS RUNNING OUT!! PLEASE HELP!!!!
olya-2409 [2.1K]
1.

|5+6x|\ \textless \ 13\\\\-13\ \textless \ 5+6x\ \textless \ 13

so

\begin{cases}5+6x\ \textless \ 13\\5+6x\ \textgreater \ -13\end{cases}

Answers B and D.

2.

|x+9|\geq11\\\\x+9\ \textgreater \ 11\qquad\vee\qquad x+9\leq-11\\\\&#10;\boxed{x\geq2\qquad\vee\qquad x\leq-20}

Answer D.

3.

The same as point 2. Answer D.

4.

Answer C.

3 0
3 years ago
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