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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

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4.9t+0.3=5.6t+0.72 I need help on my work lol
Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression 4.9t+0.3=5.6t+0.72.

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

<u>Subtract 4.9t from both sides</u>

  • 4.9t+0.3=5.6t+0.72
  • (4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72
  • 0.3=(5.6t-4.9t)+0.72
  • 0.3=(0.7t)+0.72

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

<u>Subtract 0.72 from both sides</u>

  • 0.3=0.7t+0.72
  • 0.3 - 0.72=0.7t+0.72 - 0.72
  • 0.3 - 0.72=0.7t
  • -0.42=0.7t

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

<u>Divide both sides by 0.7</u>

  • -0.42=0.7t
  • \frac{-0.42}{0.7}=\frac{0.7t}{0.7}
  • \frac{-0.42}{0.7}=t
  • -0.6=t

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0
2 years ago
Please show work!!!!!!!
kolezko [41]

Answer:

B

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area =                                                                                282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area =                                                                         <u>         157</u>

Total                                                                                    439.6                                                                        

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.

4 0
3 years ago
What is the LCD of the following rational expressions?
Aloiza [94]
\dfrac{x}{x+1} \ , \  \dfrac{7x}{x-1}

\dfrac{x (x -1)}{(x+1)(x -1)} \ , \  \dfrac{7x(x+1)}{(x-1)(x+ 1)}

<u>We know that (a + b)(a - b) = a² - b²:</u>

\dfrac{x (x -1)}{x^2 - 1}} \ , \ \dfrac{7x(x+1)} {x^2 - 1}

Answer: LCD = ( x + 1) (x - 1)
8 0
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4/12 times 2/8=8/96(simplify 8/96)
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