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Thepotemich [5.8K]
2 years ago
14

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea

r actually decreased by 20 percent. What percent of the projected attendance was the actual attendance?
Mathematics
1 answer:
Gnom [1K]2 years ago
5 0

Answer: 64 %

Step-by-step explanation:

Assume attendance last year to be equal to "x"

- An increase in percentage sees us add the percentage amount to 100.

- A decrease in percentage sees us subtract the percentage amount from 100.

Projected attendance = ((100+25)/100) * x = 1.25x

Actual attendance = ((100-20)/100) * x = 0.80x

Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64

Convert into percentage = 0.64 * 100 = 64 %

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The present ages of Vijay and gautam are in ratio 2:3. five years hence,their ages will be in the ratio 3:4. find their present
Ratling [72]

Answer:

Vijay present age: a

Gautam present age : b

2/3=a/b

3a = 2b

3/4 = (a+5)/(b+5)

4a+20 = 3b +15

(3a - 2b =0) x 3---------9a - 6b = 0

(4a - 3b = -5) x 2------- 8a - 6b = -10

9a - 6b - 8a + 6b = 10

a = 10

3(10) - 2b =0

-2b = -30

b = 15

So

Vijay present age = 10

Gautam present age = 15

7 0
2 years ago
Carly owns a T-shirt shop. She pays $2.25 for each shirt.
diamong [38]

Answer:

Total number of T-shirts= 200

Cost per T-shirt (without shipping ) = $2.80

Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14

Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94

Markup = 150% of total cost = 1.50 * 2.94 = $4.41

To get the price at which Michelle will sell each T-shirt , add total cost  to the markup; 2.94 +4.41 = 7.35.

Therefore, selling price will be $7.35

3 0
2 years ago
(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do
melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella


= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places


REMEMBER this is the probability that NONE have salmonella


Therefore

the probability that at least one does = 1 - 0.40

= 0.60


the answer is

0.60 or 60%

6 0
2 years ago
Celina can walk 4 miles in 1 hour and can run 8 miles in 1 hour. What percent of Celina’s average running speed is her average w
Valentin [98]
Okay. So, we're looking for the percentage of Celina's running speed as her walking speed. Her running sped is 8 mph and her walking speed is 4mph. All we have to do is 4/8 = x/100. You put change/original and x/100, because we're looking for the percent of change from running speed to walking speed.  Cross multiply the values to get 400 = 8x. Divide each side by 8 to isolate the "x". 400/8 is 50. x = 50. Celina's walking speed is 50% of her running speed. The answer is B: 50%.
5 0
2 years ago
g A car company is testing a new type of tire. They want to determine the stopping distance if the car has anti-lock brakes or n
Keith_Richards [23]

Answer:

Road conditions

Step-by-step explanation:

The factor that should be mostly considered in this case is the Road conditions, that way the tyre with the best stopping distance can be determined.

6 0
2 years ago
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