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sweet [91]
3 years ago
13

********Please show work*********

Mathematics
1 answer:
VikaD [51]3 years ago
4 0

Since the real track has a gauge of 3 feet but the model railroad track has a gauge of 3/4 inches, the scale factor must be 1/4, because you must follow the rule

"true measurement * scale factor = model measurement"

In fact, we have

3\cdot\dfrac{1}{4}=\dfrac{3}{4}

This implies that the original driving wheels height, 44 inches, must be scaled down to

44\cdot\dfrac{1}{4}=11

inches.

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Mr frank has 1.08 kilograms of fertilizer for the plants in his nursery. He wants every plant to get 98 my of fertilizer 4 times
bixtya [17]

Answer:

-2755 plants

-40mg  is left.

Step-by-step explanation:

Given the fertilizer amount is 1.08kg, and the amount per plant per year is (4*98mg):

#convert the weight of the fertilizer into grams then divide by quantity per plant to determine number of plants;

Number \ of \ plants=\frac{Fertilizer \ Amount}{Quantity \ per \ plant}\\\\=\frac{1.08\times 1000000}{98\ mg\times 4}\\\\=2755.1\approx2755

-There are 2755 plants planted.

-We subtract the fertilizer used from the total to find what is left:

Left=Total -Used\\\\=1080000\ mg-(2755\times98\times4)\\\\=40\ mg

Hence, 40 mg of the fertilizer is left over.

6 0
3 years ago
Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients
pochemuha

Answer:

13 ingredients

Step-by-step explanation:

The number of different recipes that can be made from 2 ingredients = 78

Since there are no two recipes that share the exact same two ingredients ;

The number of recipes in Mark's kitchen is:

nCk = 78

k = Number of ingredients per recipe = 2

n = total number of ingredients in kitchen

Total recipes made = 78

n! / (n-r)!r! = 78

n! / (n - 2)!2! = 78

n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78

n(n - 1) / 2 = 78

n(n-1) = 156

n² - n = 156

n² - n - 156 = 0

Factorize :

n² - 13n + 12n - 156 = 0

n(n - 13) +12(n-13) = 0

(n-13) = 0 ; (n+12) = 0

n = 13 or n = - 12

n cannot be negative

Hence, n = 13

Number of ingredients is 13

3 0
3 years ago
Which of the following scatterplots would have a trend line with a positive slope?
natima [27]

Answer:

the top left one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Convert 6.5 ft to m.
djverab [1.8K]

Answer: 1.9812 meters

3 0
3 years ago
Read 2 more answers
How to find the average rate of change of a function from x1 to x2 given the values?
7nadin3 [17]
That's just the slope from those points

lests say the function is f(x)

the average rate of change is \frac{f(x_2)-f(x_1)}{x_2-x_1}
6 0
4 years ago
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