Which scale will produce the smallest drawing?

1 answer:

6 0

The scale that will produce the smallest drawing would be b) 1mm:50m.

First, I converted all the measurements to centimeters:

a) 1cm:500cm
b) 0.01cm:5000cm
c) 5cm:1000cm
d) 10cm:2500cm

Then, you divide the scales:

a) 0.002
b) 0.000002
c) 0.005
d) 0.004

B is the smallest number, meaning it will be the smallest scale.

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The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the

denis23 [38]

9514 1404 393

Answer:

replace recipe quantities:

1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

1/4 × 5/2 = 5/8

1/2 × 5/2 = 5/4 = 1 1/4

1 × 5/2 = 5/2 = 2 1/2

(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

old value ⇒ new value

1/4 ⇒ 5/8

1/2 ⇒ 1 1/4

1 ⇒ 2 1/2

1 1/2 ⇒ 3 3/4

2 ⇒ 5

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

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Additional comment

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0

2 years ago

Simplify the expression. State any excluded values. x^ 2 - 36/42x - 7x^ 2

REY [17]

Consider the expression $x^2-\dfrac{36}{42}x-7x^2.$