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Lilit [14]
4 years ago
7

An HOn2- scale train is a model train that is constructed at the ratio 1: 87.1. If an HOn2 model of a locomotive is 10. 4712 inc

hes long, how long is the actual locomotive in feet?
Mathematics
1 answer:
kirill115 [55]4 years ago
7 0

Answer:

The actual length of the train is 76 ft

Step-by-step explanation:

Remember that

1 ft=12 in

Convert inches to feet

10.4712 in=10.4712/12=0.8726 ft

we know that

The scale of the train is \frac{1}{87.1}

That means-----> One unit in the model train represent 87.1 units in the actual train

To find out the length of the actual train, multiply the length of the model train by 87.1

so

0.8726(87.1)=76 ft

therefore

The actual length of the train is 76 ft

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Add the two expressions.<br><br> 2n−3 and −7n+2
Reil [10]
The answer would be -5n-1. If -7n adds to 2n you would get -5n, and if you add -3 with 2 you would get -1.
3 0
3 years ago
Vhich point-slope equation represents a line that passes through (3,-2) with a slope of -4/5 ?
Deffense [45]

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

Slope form of an equation is y = mx + b

Sub in x and y coordinates and slope then isolate for b

-2 = -4/5(3) + b

-2 = -12/5 + b

-2 + 12/5 = b

b = -10/5 + 12/5

b = 2/5

Sub in b and the slope into the slope form equation

y = (-4/5)x + 2/5

6 0
3 years ago
9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions
just olya [345]

Answer:

\frac{7}{30}\approx0.23

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5

Now, probability of getting the second question as easy question is given as:

P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}

Now, probability that the first two contestants will get easy questions is given by the product of P(E1)\ and\ P(E2). So,

P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23

Therefore, the probability that the first two contestants will get easy questions is \frac{7}{30}\approx0.23

7 0
3 years ago
 The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles t
serg [7]
I'll do this step-by-step. Note, ratios are basically division signs.

The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.

The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.

There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)

So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.

If you don't want the explanation, there are 33 more cars than vans in the parking lot.
8 0
3 years ago
Read 2 more answers
two boats leave the jetty at the same time. one of them returns to the jetty every 25 minutes and the second one returns every 3
mars1129 [50]

Answer:

150 mins or 2 hrs 30 mins

Step-by-step explanation:

This is simply the LCM ( lowest common multiple)

therefore, you find all the prime factors of 25 using a tree diagram resulting in 5^2 and 30 which will be 2 x 3 x 5. Then you multiply all the factors together and you will get 5 x 5 x 2 x 3 = 150

so....

the answer is after 150 mins

or 2 hours and 30 minutes

3 0
3 years ago
Read 2 more answers
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