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melomori [17]
4 years ago
13

A hose with a larger diameter working alone can fill a swimming pool in 9 hours.A hose with a smaller diameter working alone can

fill a swimming pool in 18 hours.working together,how long would it take the two hoses to fill the swimming pool?
Mathematics
1 answer:
Arte-miy333 [17]4 years ago
8 0

The large hose fills 1 pool in 9 hours written as  1/9

The small hose fills 1 pool in 18 hours, written as 1/18


Now you have 1/9 + 1/18 = 1/x ( x is the unknown time for both hoses).

rewrite 1/9 with a common denominator as 1/18:

1/9 = 2/18


Now you have 2/18 + 1/18 = 1/x

Add the left side:

2/18 + 1/18 = 3/18


Now you have 3/18 = 1/x

Cross Multiply:

3x = 18

Divide both sides by 3"

x = 18/3

X = 6


It will take both hoses 6 hours.

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Are these ratios equivalent?
Zigmanuir [339]

Answer:

Yes, the ratios are equivalent.

Step-by-step explanation:

4 0
4 years ago
On Monday, it took 5 builders 3 in a half hours to build a wall.
mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders 3\frac{1}{2} hours so 1 builder would take 5 × 3\frac{1}{2} which is \frac{35}{2} hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

6 0
3 years ago
Find a fraction that is equivalent to 2/4. (Write three fractions.)
NikAS [45]

Answer:

1/2 3/6 4/8 and 5/10 because all are equivalent to 2/4

6 0
2 years ago
Jim is painting the inside of a circular helicopter pad. How many cans of paint would he need if the pad is 50 feet across and e
djverab [1.8K]
STEP 1:
You need to find the area of the circular pad.

Circle Area= πr^2
we need the radius which is half of the diameter given
=π(50÷2)^2
=(3.14)(25)^2
=(3.14)(625)
=1,963.495 ft^2 total area

STEP 2:
Find how much paint is needed by dividing a can's coverage into what's needed.

=1963.495 ÷ 200
=9.817
=10 cans are needed (because you cannot buy a part of a can, you need to round up)

ANSWER: 10 cans are needed

Hope this helps! :)
5 0
3 years ago
Find the odd man out. 15,25,30,51,85,90,115 A.15 B.25 C.51 D.90
kirill [66]
The answer is C. 51 because we can see that all of the numbers are divisble by 5 except for 51
an easy way to tell is if the number ends in 0 or 5, it is divisible by 5
51 is the only one that doesn't end in 0 or 5 so it isn't divisible by 5 (it's divisible by 3 and 17)

the answer is C. 51
4 0
3 years ago
Read 2 more answers
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