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3 years ago

Architects make scale models of buildings to present their ideas to clients. If an

Mathematics

1 answer:

MaRussiya [10]3 years ago

5 0

The area of the model is 80 square foot

Step-by-step explanation:

Let the area of the house model be 'a'

The scale = 1:50

The area of the house= 4000 square foot

Area of the model =4000/50

a = 80 square foot

The area of the model is 80 square foot

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A group of people went to a coffee shop.

Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = $\frac{13}{45}$

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

drink and a treat. number of people who chose coffee: number of

people who chose tea = 1:4. Of those who chose coffee, number of

people who chose a muffin number of people who chose a tart =

2:7. Of those who chose tea, number of people who chose a muffin

: number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = $\frac{1}{5}.5x$ = x

Total number of people who chooses tea = $\frac{4}{5}.5x$ = 4x

Now,

As given,

Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = $\frac{2}{9}x$

Total number of people who choose tart after coffee = $\frac{7}{9}x$

Also,

Given that

Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = $\frac{5}{6}.4x = \frac{20}{6}x$

Total number of people who choose tart after tea = $\frac{1}{6}.4x = \frac{4}{6}x$

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = $\frac{7}{9}x$ + $\frac{4}{6}x$

= $\frac{7}{9}x + \frac{2}{3}x$

= $\frac{7x + 6x}{9}$

= $\frac{13}{9}x$

⇒Total number of people who chooses tart = $\frac{13}{9}x$

Now,

Fraction of the people chose a tart = $\frac{People choose tart}{Total people}$

= $\frac{\frac{13}{9}x }{5x}$

= $\frac{13}{45}$

⇒Fraction of the people chose a tart = $\frac{13}{45}$

4 0

3 years ago

Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500

Molodets [167]

It total Javier is gonna need to sell at least 50 shoes in that week that are only mens shoes if he doesnt get any female customers

6 0

2 years ago

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

Jet001 [13]

Answer:

The mean for the sampling distribution of the sample proportion is 0.29

The standard deviation for the sampling distribution of the sample proportion is 0.01435

Step-by-step explanation:

The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29

The standard deviation for the sampling distribution of the sample proportion is calculated as;

$\sqrt{\frac{p(1-p)}{n} }$

Using the given values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation becomes;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

The s.d becomes 0.01435

4 0

3 years ago

75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?

Alik [6]

The answer is 187 1/2 cups. You have to divide 75 by 12 to get how much flour is in 1 biscuit and you multiply that by 30

3 0

2 years ago

Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by the

defon

Answer:

0.1981

Step-by-step explanation:

See attachment for calculation

5 0

3 years ago