1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mafiozo [28]
2 years ago
6

In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?

Mathematics
2 answers:
ratelena [41]2 years ago
5 0

Answer:  The required number of houses is 200.

Step-by-step explanation:  Given that in a housing estate, the direct proportion of flats to houses is 2 : 5 and there are 80 flats.

We are to find the number of houses.

Let 2x and 5x represents the number of flats and houses respectively.

Then, according to the given information, we have

2x=80\\\\\Rightarrow x=\dfrac{80}{2}\\\\\Rightarrow x=40.

Therefore, the number of houses is given by

5\times40=200.

Thus, the required number of houses is 200.

schepotkina [342]2 years ago
4 0
So you take 2:5=7

7
You might be interested in
John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

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

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

y= -\frac{2}{5}x+20\\

The slope is, -\frac{2}{5} and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0
1 year ago
Item 2<br> Question 1<br> Solve 6x≥−42. Graph the solution.
o-na [289]

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

8 0
3 years ago
Read 2 more answers
Which of the following expressions are equivalent? Justify your reasoning,
marshall27 [118]

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0
2 years ago
Answer each question. What is 35% of 90x? What percent of 16x is 9x?
Ket [755]

Answer:

35% of 90x = 31.5

16x is 9x =

Step-by-step explanation:

35 /100 x 90 = 31.5

6 0
3 years ago
Read 2 more answers
I am half way between two consecutive numbers. The product of the two numbers is 650. what number am I ?
elena-14-01-66 [18.8K]

Answer: 325

650/2=325

6 0
2 years ago
Other questions:
  • Question
    7·1 answer
  • 3 TIMES BLANK EQUALS 25.2 what does blank equal
    14·2 answers
  • What are the solutions to the equation?
    12·2 answers
  • Bubble Bobble big blue bubble with a circumference of 15 in what was the approximate radius of the bubble before it came just a
    14·1 answer
  • In a study, researchers found that for every 3 people who preferred band A toothpaste 1 person preferred band B toothpaste. Whic
    7·1 answer
  • The volume of a rectangular prism is the products it’s dimensions. If the dimensions of a rectangle prism are approximately 1.08
    13·1 answer
  • Starting with the graph of a basic function, graph the following function using the techniques of shifting, compressing, stretch
    10·1 answer
  • Consider the lengths of the sides of a triangle as listed. Triangle A: 3, 4, 5 Triangle B: 5, 12, 13 Triangle C: 10, 12, 15 Tria
    7·1 answer
  • A candy shop sells a box of chocolate for $30. Which is the lnropper way to use this sentence?​
    7·2 answers
  • David is making cupcakes for the bake sale. He puts them on trays that hold 6 cupcakes each. How many trays will David need if h
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!