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
Aliun [14]
3 years ago
8

In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows a

re in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

You might be interested in
Determine the number of solutions for the linear equation shown below?<br> 4(3x+8)−9=2(6x−8)−15
natta225 [31]

Answer:

0 = -54

Step-by-step explanation:

4(3x + 8) − 9 = 2(6x − 8) − 15

12x + 32 - 9 = 12x - 16 - 15

12x + 23 = 12x - 31

12x = 12x - 54

0 = -54

No solutions.

Best of Luck!

5 0
3 years ago
Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted
Basile [38]

Answer:  We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: z_{\alpha/2}=1.96

Sample mean : \overline{x}= 34.55

Standard deviation : \sigma= 20.12

The confidence interval for population means is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}

=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0
3 years ago
Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0
uranmaximum [27]
Whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
4 0
2 years ago
Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
givi [52]

Answer:

19 quarters and 13 nickles

Step-by-step explanation:

You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40

How many nickels and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters

Coin Total Equation → n + q = 32

Step 2: Rearrange Coin Total Equation in terms of nickels (n)

n = 32 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:

0.05(32 - q) + 0.25q = $5.40

0.05(32) - 0.05(q) + 0.25q = $5.40

1.6 - 0.05q + 0.25q = $5.40

1.6 + (0.25 - 0.05)q = $5.40

1.6 + 0.2q = $5.40

Step 4: Subtract 1.6 from each side of the equation to isolate q

1.6 - 1.6 + 0.2q = $5.40 - 1.6

0.2q = 3.8

Step 5: Divide each side of the equation by 0.2 to isolate q

0.2q

0.2

=

3.8

0.2

q = 19

Step 6: Using our value for q, Solve for n using our Coin Total Equation:

n + 19 = 32

Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19

n = 13

Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40

8 0
2 years ago
There are 2 cows and 1 chicken how many animals are there?
Viefleur [7K]
There are 2 cows and 1 chicken how many animals are there?
3 animals

6 0
3 years ago
Read 2 more answers
Other questions:
  • (.75/0.03-23.5)/1.5*2/3+7/6 <br>WILL GIVE BRAINLIEST PLEASE HELP QUICK
    14·1 answer
  • I know this is a long word problem but could anyone answer one of these questions
    13·1 answer
  • How do you solve 2x²-x=3 by factoring
    6·2 answers
  • Come up with a scenario that explains why hours (hours for what?) goes down with time. It can be short, just a couple sentences
    8·1 answer
  • 3. The triangle will be dilated by a scale factor of 1.5 ab=12 bc=10 ca=14 Calculate the length of each side of the dilated imag
    13·1 answer
  • Common factor of 480 and 400 and the greatest common factor of 480 and 400
    11·1 answer
  • Is -1 bigger or smaller than -4/3
    5·2 answers
  • For each equation, determine if x=2 is a solution.
    9·1 answer
  • What are the zeros of the function f(x) = x^2 + 5x + 5 written in simplest radical form?
    5·1 answer
  • Will give brainliest if correct!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!