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Talja [164]
2 years ago
5

Amir walks 1/2 mile in 15 minutes. Jody walks 2/3 mile in 20 minutes. Who walks at a faster rate?

Mathematics
2 answers:
eimsori [14]2 years ago
7 0

Step-by-step explanation:

given,

Amir walks = 1/2 miles in 15 min.

Jody walks = 2/3 miles in 20 minutes

write each rate,

1/2/15 , 2/3/20

so now,

calculate the fraction,

\frac{1}{2 \times 15}  =  \frac{1}{30}  \\  \frac{2}{3 \times 20}  =  \frac{1}{3 \times 10}  =  \frac{1}{30}

so,

both walk at the same/equal rate.

hope this answer helps you dear!

ella [17]2 years ago
5 0

Answer:

Jody walks at a faster rate because it would take Amir 30 minutes to walk a mile and Jody approximately 26.6 minutes to walk a mile.

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yaroslaw [1]

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

<h3>What is the rate of speed?</h3>

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

t+2=3+\dfrac{(x-3\times35)}{51}

As t is same, thus put the value of t in this equation,

\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

brainly.com/question/359790

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6 0
2 years ago
Number 21 please and thank you
olga2289 [7]

Answer:

\frac{5}{6}

Step-by-step explanation:

sin =opposite/hypotenuse

sinQ=5/6

7 0
2 years ago
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar
Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) --->  the production cost, in thousands of dollars

we have

C(x)=-0.34x^{2} +12x+62

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

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That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> 34.18 < x\leq 39.87

The value of C(x) ----> C(x) < 75

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

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3 years ago
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Mumz [18]
The answer is D. Best of luck!
3 0
3 years ago
PLS HURRY!
Ratling [72]
A is the correct answer 3 terms and a degree of 9:)
4 0
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