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tekilochka [14]
3 years ago
15

At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 12 gallon

tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0
1 gallon = 30 miles

5 hours = 250 miles
250 \div 30 = 8 \frac{1}{3}
Fraction of amount of gasoline used =
\frac{ \frac{25}{3} }{12}  \\  =  \frac{25}{3}  \times  \frac{1}{12} \\  =  \frac{25}{36}
Answer is 25/36

Hope this helps. - M
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Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
VMariaS [17]
  To solve this problem,you need to use the formula d = rd (distance = rates x time)She runs at a speed of 7 mph and walks at a speed of 3 mph. Her distance running is d = 7trwhere tr is the time she spends running Her distance walking isd = 3twwhere tw is the time she spends walking The distances are the same so7tr = 3tw We also know that the total time is 4 hourstr + tw = 4tr = 4-tw Substitute this value of tr in the first equation7tr = 3tw7(4-tw) = 3tw28-7tw = 3tw28 = 10tw2.8 = tw Denise will spend 2.8 hours (2 hours, 48 minutes) walking back and 1.2 hours (1 hour, 12 minutes running.

Hope I helped :)
5 0
3 years ago
Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su c
mr Goodwill [35]

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

4 0
3 years ago
Read 2 more answers
The tables each show the ticket sales, in thousands, for a movie and the number of weeks it has been in theaters.
aev [14]
I believe it's the second table from the top. because the number of tickets sold goes down by half each time
3 0
2 years ago
Read 2 more answers
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
stira [4]

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

5 0
3 years ago
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the sec
Alexxx [7]
18/28

Probability of romance and action = 18 (add the two probabilities together)

Add all probabilities together which equals 28

18/28 is your answer
6 0
2 years ago
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