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3 years ago

In a village the number number of houses and flats are in a a ration 9:5

Mathematics

1 answer:

ki77a [65]3 years ago

8 0

Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

100 ÷ 5 = 20 ← value of 1 part of the ratio, then

9 parts = 9 × 20 = 180 ← number of houses

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The y -intercept of the line whose equation is x - y = -1 is 0 1 -1

Feliz [49]

Answer:

Step-by-step explanation:

y- intercept occurs at x= 0. Thus, the y-intercept of a line can be found by substituting x= 0 into it's equation.

x -y= -1

When x= 0,

0 -y= -1

-y= -1

Divide both sides by -1:

y= -1 ÷(-1)

y= 1

Thus, the y-intercept is 1.

8 0

2 years ago

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1

Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take? 117

What will be the company's total expenses and revenues? $1755 for each

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) = 1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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2 years ago

Need help to find the unit rate

Elodia [21]

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? mile: 1 hour
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3 years ago

A circular foundation has a radius of 9.4 feet. Find it's diameter and circumference to the nearest tenth

Ganezh [65]

The diameter of the circular foundation would be 18.8 feet, and the circumference would be 59.1 feet.

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3 years ago