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ivann1987 [24]
3 years ago
5

Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

Answer: The length of the car in Ivan's scale drawing is 8 cm.

Step-by-step explanation: Megan creates a scale drawing for a car and her scale is measured as 3 cm : 2 m. One meter equals one hundred centimetres, that means the 3 centimetres used in Megan's drawing equals two hundred centimetres in actual length of the car. Hence, for every  two centimetres she draws, the actual length is times three hundred, which can be represented as follows;

Ratio = 3 : 200

If the drawing was eventually six centimetres, then the actual car length would be,

3/200 = 6/x

Where x represents the actual length of the car

3x = 6*200

x = (6*200)/3

x = 400

Therefore the actual length of the car is 400 centimetres (or 4 metres)

Ivan draws the same car using a ratio of two centimetres to one metre. With our conversion rate already given above (100 cm = 1 m), Ivan's ratio is

2 : 100

Having known the length of the actual car to be 400 centimetres, Ivan's drawing would have a scale calculated as;

2/100 = y/400

Where y represents the length of the car in Ivan's scale drawing

2*400 = 100y

(2*400)/100 = y

8 = y

Therefore the length of the car in Ivan's scale drawing is 8 centimetres

Alika [10]3 years ago
6 0

Answer:

Givens

  • The length of the car in her drawing is 6 cm.
  • The scale is 3 cm : 2 m.
  • Ivan draws with a relation 2 cm : 1 m.

First, we need to find the actual length of the car using Megan's ratio.

If 2 centimeters is equivalent to 1 actual meter of the car, 6 centimeters of drawing would be equal to

M=6cm \times \frac{2m}{3cm} =4m

Therefore, the car is 4 meters long.

Now, using this information, we can find the length of the scale drawing of Ivan.

I=4m \times \frac{2cm}{1m}=8cm

Therefore, Ivan's drawing is 8 centimeters long.

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tiny-mole [99]
This is a lot of information at once, so break down the question step by step! 

1) You are told that 34.6% of Mr. Camp's class of 26 students reported that they have at least 2 siblings. Find the number of students in his class that have at least two siblings by multiplying 0.346 (the decimal form of 34.6%) by 26:
0.346 x 26 = 9 students

However, be careful! Notice that you want the number of students with fewer than 2 siblings. That means you need to subtract 9 from 26 to find the number of students with less than 2 siblings:
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2) You are told that there are 1800 eighth-grade classes in the state, and the average size of the classes is 26. That means you can assume that there are 1800 classes of 26 in the state.

Since you are told that Mr. Camp's class is representative of students in the state's 8th grade classes. That means in the state, for each class of 26, 17 students (the number we figured out in step 1) have fewer than two siblings!

For each of the 1800 classes of 26, 17 students have fewer than two siblings. That means you need to multiply 1800 classes by 17 students per class to get your final answer, which is answer C:
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Answer: C) 30,600
7 0
3 years ago
Read 2 more answers
The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

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3 0
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evablogger [386]
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