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Snezhnost [94]
2 years ago
7

a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5

on a membership card plus the reduced entry fee. how many times does ken visit before he gets back his £5
Mathematics
1 answer:
nikitadnepr [17]2 years ago
8 0

Answer:

5

Step-by-step explanation:

You save ⅓ of entry fee, so you save 1.20 and you pay 2.40. We only really care about the 1.20 reduction. 5 / 1.2 = 4.16 so he must go 5 times to get the 5 back

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Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
Reika [66]

Answer:

C) $20.80

Step-by-step explanation:

1 kg of cooking oil = $6.5

1 packet of cooking oil =2/5 kg

If 1 kg of cooking oil = $6.5

2/5kg of cooking oil = $X

Cross Multiply

1kg × $X = 2/5kg × $6.5

$X = 13/5

$X = 2.6

Hence 2/5kg of oil cost $2.6

Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

$2.5 × 8

= $20.80

Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80

7 0
3 years ago
Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil
Bogdan [553]

Answer : Probability that the pumping system will fail on any given day = 0.005

Explanation:

Probability that only older pump fail = P(A) = 0.10

Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

             = 0.10 ×0.05

             =  0.005

Hence, the probability will fail on any given day = 0.005

8 0
3 years ago
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your
11111nata11111 [884]

Answer:

b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.

Step-by-step explanation:

Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.

7 0
3 years ago
At noon, ship A is 180 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is
weeeeeb [17]

Answer:

Step-by-step explanation:

Gotta love these motion  problems!!! This one  is especially tricky!  At noon, ship A is 180 km west of ship B.  If ship A is traveling east, it is closing its distance to ship B (if ship B didn't move).  But ship B is moving north at the same time.  We need to find the distance each can travel in 4 hours using the d = rt formula.  For ship A.  We know it's moving at 35 km/h, so in 4 hours it can move d = 35(4) which is 140 km.  Remember that is closing the distance to ship B.  So it is 180 - 140 directly south of ship B.  This problem will turn out to be a right triangle problem of sorts.  The distance of 40 km serves as the base of this right triangle.  

With ship B moving north at 25 km/hr, it can travel d = 25(4) which is 100 km.  This serves as the height of the triangle.  We are asked to find the rate at which the distance is changing 4 hours from their starting points.  We know how far each can travel in those 4 hours, so in order to find the rate of change (which is the same thing as the slope!), we take the height and divide it by the base because that is the same thing as taking the rise over the run.  100/40 is 10/4 which is a rate of change of 2.5 km/hr

5 0
3 years ago
The width of a rectangular room is 80% of its length. If the length of the room is 20 meters, what is the area of the room? A= l
KIM [24]

Answer:320ft^2

Step-by-step explanation:

80% of 20 is 16, because 80% is 4/5 and 20 divided by 5 is 4, multiplied by 4 is 16. Area is L x W, so 16 times 20 is 320, and don't forget unit of measurement, ft^2 for area

7 0
3 years ago
Read 2 more answers
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