A plumber charges $90 per hour and $50 travel fee. The totaly cost of his last job was $410. use the equation 90x + 50 = 410 to find x, the number of hours it took to complete the job

To solve the equation 90x + 50 = 410, we will subtract 50 from both sides to isolate the term with x:

90x + 50 - 50 = 410 - 50
90x = 360

Next, we will divide both sides by 90 to solve for x:

90x/90 = 360/90
x = 4

Therefore, it took the plumber 4 hours to complete the job.

on a plane, 1/10 of the passengers were children. there were 15 children on the plane. how many passengers were on the flight

Let's assume the total number of passengers on the plane is x.

If 1/10 of the passengers were children, we can set up the equation:
(1/10)x = 15

To find x, we can multiply both sides of the equation by 10:
(10)(1/10)x = (10)(15)
x = 150

Therefore, there were 150 passengers on the flight.

Jalal has a hat collection. The ratio of the baseball caps to cowboy hats in his hat collection is 12:13 which ratio is equivalent to 12:13

The ratio 12:13 is already in its simplest form and cannot be simplified further since 12 and 13 do not have any common factors other than 1. Therefore, the ratio 12:13 is already in its simplest form and is equivalent to itself.

WHich ratio is equivalent to 12:13

36:39

46:52

26:28

64:65

To determine which ratio is equivalent to 12:13, we can simplify each of the given ratios:

36:39 = 12:13 (since both ratios can be divided by 3)

46:52 = 23:26 (both ratios can be divided by 2)

26:28 = 13:14 (both ratios can be divided by 2)

64:65 is already simplified, as 64 and 65 do not have any common factors other than 1.

Therefore, among the given options, the ratio that is equivalent to 12:13 is 36:39.

Imad's family drove 345 miles form chicago to cleveland they drove at a speed of 50 miles per hour how many hours did it take imads family to drive to chicago to cleveland

To find the number of hours it took Imad's family to drive from Chicago to Cleveland, we can divide the total distance of 345 miles by the speed of 50 miles per hour:

345 miles / 50 miles per hour = 6.9 hours

Therefore, it took Imad's family approximately 6.9 hours to drive from Chicago to Cleveland.

a radio costs $40.00 the tax rate is 7.5 what is the tax on this radio

To calculate the tax on the radio, we need to multiply the cost of the radio by the tax rate.

Tax = cost of the radio * tax rate

Tax = $40.00 * 7.5%

To convert the tax rate from a percentage to a decimal, we divide it by 100:

Tax = $40.00 * 0.075

Using multiplication, we can find the tax:

Tax = $3.00

Therefore, the tax on the radio is $3.00.

A company produces 3000 memory cards each day every day 25 are randomly selected for testing one day 1 of those tests failed about how many of the memory cards produced that day are likely to fail

To estimate the number of memory cards produced that day which are likely to fail, we can assume that the failure rate observed in the sample of 25 tested cards is representative of the entire production.

The proportion of failed tests can be calculated by dividing the number of failed tests by the total number of tested cards:

Proportion of failed tests = Number of failed tests / Total number of tested cards

Proportion of failed tests = 1 / 25

To estimate the number of memory cards likely to fail in the total production of 3000 cards, we can multiply the proportion of failed tests by the total number of produced cards:

Estimated number of cards likely to fail = Proportion of failed tests * Total number of produced cards

Estimated number of cards likely to fail = (1 / 25) * 3000

Estimated number of cards likely to fail = 120

Therefore, an estimated 120 memory cards are likely to fail out of the 3000 produced that day.