92 divided by 11 with remainder

Two old rsm students were standing twenty feet apart when they spotted mrs. rifkin. if they immediately run in opposite directio

Black_prince [1.1K]

Speed of student A is 180 ft/min
Speed of student B is 120 ft/min
Relative speed=(120+180)=300 ft/min
Distance between them is 2420 ft
Time taken for them to meet will be:
time=distance/speed
=(2420-20)/300
=8 min

3 0

2 years ago

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A washer contains a drum that spins at 750 revolutions per minute. To the nearest hundredth, the angular velocity of the drum is

LenaWriter [7]

For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
$(750) * (1/60) * (2 * pi) = 78.54 rad / sec
$
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.

8 0

2 years ago

A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15

daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) = 52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X = 40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0

1 year ago

Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, wh

Semenov [28]

Number of ways of choosing two pair of sneakers from three pairs named A, B, C is given by 3C2 (3 combination 2) = 3! / 2!(3 - 2)! = 3! / (2! x 1!) = (3 x 2) / (2 x 1) = 3.

Therefore, the sample space is given by S = {AB, AC, BC}

5 0

2 years ago

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Nicole shines a light from a window of a lighthouse on a cliff 250 feet above the water level. Nick 10 feet above the water leve

Allushta [10]

Answer:

4585.8 feet

Step-by-step explanation:

If we draw the triangle, the opposite side to 3° angle would be "10" less than total height of 250 because Nick is 10 feet above water level, so that side will be:

250 - 10 = 240

The hypotenuse of the triangle is the length of line of sight. We can call this "x".

So, using trigonometric ratio of sine (opposite/hypotenuse), we can write:

$Sin(3)=\frac{240}{x}$

Now, we cross multiply and solve for x, line of sight length:

$Sin(3)=\frac{240}{x}\\x=\frac{240}{Sin(3)}\\x=4585.8$

3 0

1 year ago