Your model locomotive is 18 inches long. It is an exact model of a locomotive that is 72 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Answer 1

Answer:

Answer: 4

Step-by-step explanation:

Given: The length of a model locomotive = 18 inches

The length of a exact locomotive = 72 inches

The scale factor to scale the model of the locomotive is given by the ratio of the length of the locomotive to the length of the model.

let k be the scale factor, then

$k=(72)/(18)=4$

Hence, the dimensions of the locomotive model is 4 times the dimensions of the model.

Therefore, the locomotive is 4 times wider than a window on the model.

Answer 2

Answer: $72feet=72*12inches=864inches$

ratio:

$18:864$

or:

$1:48$

so window is 48 times wider normaly than in this model

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A bank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $2,170.00. How much was loaned at each rate?$ ______was loaned at 10% and
$______ was loaned at 14%.

Answers

Answer:

$7 000 was loaned at 10 % and

$10 500 was loaned at 14 %

Step-by-step explanation:

Let x = amount loaned at 10 %

Then 17 500 - x = amount loaned at 14 %

0.10x = interest on 10 % loan

0.14(17 500 - x) = interest on 14 % loan

2170.00 = total interest

$\begin{array}{rcl}0.10x + 0.14(17 500 - x) & = & 2170.00\n0.10x + 2450 - 0.14x & = & 2170.00\n2450 - 0.04x & = & 2170.00\n-0.04x & = & -280\n\nx & = & (-280)/(-0.04)\n\nx & = & \mathbf{7000}\n\n\end{array}$

$7000 was loaned at 10 % and

$10 500 was loaned at 14 %

Check:

\ $\begin{array}{rcl}0.10* 7000 + 0.14(17 500 - 7000) & = & 2170\n700 + 0.14(10 500) & = & 2170\n700 + 1470 & = & 2170\n2170 & = & 2170\n\end{array}$

OK.

How to find the volume of A composite figure

Answers

cut the figure into different pieces and find the volume separately, then add all of them up to find a grand total

the tank is 600 cubic meters. the height of tank is 6 meters. the base of the tank is square. what is the area of the base?

Answers

100 squre meters because the base is square so both sides are equal in length so if you divide volume on hight so the area will come which is 100 and lcm is 10

If an equation does not need the distributive property, what should you look for next?

Answers

Answer:

Proceed the next step, then. Whether it is sum/subtract the addends, whether it is subtract. Then isolate the variable, aiming to find out the quantity of x.

Step-by-step explanation:

If an equation whose product does not need the distributive property, then the factors have already been distributed. And

Visualizing it

Suppose the following equation:

$3(x+2)=4$