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1 year ago

An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.

Mathematics

1 answer:

hammer [34]1 year ago

4 0

9514 1404 393

Answer:

c/3 = 169/12
42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

$\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}$

The real caboose is 42 1/4 feet long.

You might be interested in

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to t

Serggg [28]

ANSWER

The correct option is,
$k(x - 2)(x - 7) = 0$

EXPLANATION

We were given that the solutions of the quadratic equation are
$x = 2$
and
$x = 7.$

This tells us that,

$x - 2$

and
$x - 7$

are factors of the quadratic equation.

This implies that the quadratic equation is of the form,

$(x - 2)(x - 7) = 0$

We were also told that

$k$

is a non zero constant.

This means that we can use k to multiply the whole equation and the solution will not be affected.

Our equation now becomes,

$k(x - 2)(x - 7) = 0$

Hence the correct answer is A.

5 0

2 years ago

Read 2 more answers

a homeowner wants to carpet two rooms that each measure 12 ft by 15 ft. how many square yards of carpet should be ordered

Lelu [443]

3 feet = 1 yard

12/3 =4

15/3 = 5

4*5 = 20 square yards per room

20*2 = 40 square yards total

7 0

2 years ago

Zach walked his dog for 7/8 hour. They spent 1/2 of the time at the beach. How much time did Zach and his dog spend at the beach

Tresset [83]

Answer: $\frac{7}{16}hour$

Step-by-step explanation:

You know that the total time was: 7/8 hour

You also know that they spent 1/2 of the time at the beach.

Therefore, to calculate the time Zach and his dog spend at the beach (which you can call x) , you must multiply both fractions (7/8 and 1/2).

Then, you obtain the following result:

$x=\frac{7}{8}hour*\frac{1}{2}\\\\x=\frac{7}{16}hour$

5 0

2 years ago

ΔXYZ was dilated, then _____________, to create ΔQAG.

V125BC [204]

Answer:

reflected

Step-by-step explanation:

ΔXYZ was dilated, then reflected, to create ΔQAG.

7 0

2 years ago

Read 2 more answers

PLZ HELP 235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people o

Olin [163]

Answer:

number of girls = 90

Number of boys = 125

Number of adults = 20

Step-by-step explanation:

Total people at the summer camp= 235

Let

number of girls=x

Number of boys = x + 35

Number of adults = x - 70

Total people at the summer camp= number of girls + Number of boys + Number of adults

235 = x + (x+35) + (x - 70)

235 = x + x + 35 + x - 70

235 = 3x - 35

Add 35 to both sides

235 + 35 = 3x

270 = 3x

Divide both sides by 3

x= 270/3

= 90

x = 90

number of girls= x = 90

Number of boys = x + 35

= 90 + 35

= 125

Number of adults = x - 70

= 90 - 70

= 20

Total = 90 + 125 + 20

= 235

4 0

2 years ago