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3 years ago

5

A toy manufacturer estimates that 8% of its products are defective. If it produces 650 toys in one day, how many will be defecti

ve?

1 answer:

velikii [3]3 years ago

6 0

8% of 650
The answer is 8%•650=52

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A boat can travel 21mph in still water. If it travels 270 miles with the current in the same length of time it travels 108 miles

erica [24]

Answer: the speed of the current is 9 mph.

Step-by-step explanation:

Let x represent the speed of the current.

A boat can travel 21 mph in still water. If it travels 270 miles with the current. It means that the total speed with which the boat travelled with the current is (21 + x) mph.

Time = distance/speed

Time spent by the boat in travelling 270 miles is

270/(21 + x)

In the same length of time, it travels 108 miles against the current. It means that the total speed with which the boat travelled against the current is (21 - x) mph.

Time = distance/speed

Time spent by the boat in travelling 108 miles is

108/(21 - x)

Since the time is the same, then

270/(21 + x) = 108/(21 - x)

270(21 - x) = 108(21 + x)

5670 - 270x = 2268 - 108x

108x + 270x = 5670 - 2268

378x = 3402

x = 3402/378

x = 9

7 0

3 years ago

S=(1 r)<br> c. find c if s = r 174 and r= 45%

stepladder [879]

The question is incorrect because of the apparent contradiction the question makes.
First statement says that a quantity S is equal to quantity r.
The second statement says that S = 174r.
Moreover, the quantity C is not correctly linked with the equation. Please either correct the question or explain the ambiguity.

4 0

3 years ago

Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h

coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = $15x + 18y$

We have to minimize this cost.

Then, we can write the following inequalities:

$6x + 8y \geq 208\\x \geq 8\\y \geq 8\\$

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

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3 years ago

The equation a = 50m + 100 represents the amount of money in Malorie’s bank account as a function of time, in months. The table

Gnesinka [82]

Answer:

A: 300 B: Malorie

Step-by-step explanation: Katina's account starts at $200 and increases by $20 each month. Malorie starts at only $100 but increases at a rate of $50 per month. for "A", Katina is 4 months in which equals $280. so, you take Malorie's $50 rate times the 4 months and you get $200. You then add that $200 to the starting $100 to equal $300.

B: 50m>20m. Malorie's monthly rate is listed in the equation as $50. Katina's rate of $20 comes from the $20 increase in her account each month.

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2 years ago

Brittany was tracking the increasing temperature in the morning. At 8 a.m., it was 68 degrees Fahrenheit. At 10 a.m., it was 74

Mila [183]

Brittney was tracking the increasing temperature in the morning, it was 68 degrees fahrenheit at 8 a.m., and 74 degrees fahrenheit at 10 a.m. If Brittany made the function f(x) = 3x + 36, the number '36' would represent the temperature at midnight.

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3 years ago

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