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2 years ago

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The figure below is a scale drawing of an office courtyard using the scale 1 centimeter = 4 feet.

1 answer:

lara [203]2 years ago

4 0

Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:

51 cm, 75 cm, 30 cm and 72cm.

For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:

51 x 4/3 = 68 cm.

75 x 4/3 = 100 cm.

30 x 4/3 = 40 cm.

72 x 4/3 = 96 cm.

More can be learned about proportions at brainly.com/question/24372153

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3 years ago

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. Which equation c

Alex17521 [72]

Answer:

Equation is $0.5 \text{ gal }\times(0.1)+ x\text{ gal }\times (0.35)=(0.5 + x)\times (0.15)$

0.125 gallons of the 35% acid solution Eli should add.

Step-by-step explanation:

Given : Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

To find : Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution :

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = $0.5\times 0.1$

For x gallon of a 35% acid solution = $x\times 0.35$

For (0.5+x) gallon of a 15% acid solution = $0.5+x\times 0.15$

The equation form is

$0.5 \text{ gal }\times(0.1)+ x \text{ gal }\times(0.35)= (0.5+x)\times (0.15)$

Solving the above equation,

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Therefore, 0.125 gallons of the 35% acid solution Eli should add.

The equation is $0.5 \text{ gal }\times(0.1) + x \text{ gal }\times(0.35) =(0.5 + x)\times (0.15)$

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