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3 years ago

11

there are 20 students in a homeroom how many different ways can they be chosen to be elected president vice president treasurer

and secretary

1 answer:

kondor19780726 [428]3 years ago

5 0

Answer:

5040 different ways

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you buy dog biscuits at the bulk rate of 2.25/lb. the scale shows .75 lbs fir 25 biscuits. find cost of 40 biscuits

julia-pushkina [17]

1.2 pounds is the weight of 40 biscuits and the cost is $2.70.

5 0

3 years ago

Read 2 more answers

Add −2/3+2 3/8 . Write your answer as a mixed number in simplest form.

d1i1m1o1n [39]

Answer:

41/24 or 1 17/24

Step-by-step explanation:

2 3/8=19/8

-2/3+19/8

-16/24+57/24

41/24

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2 years ago

Read 2 more answers

Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week

hoa [83]

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

or

T = 16 y + 360

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

<span>x + y = 30 + 3 = 33 hrs </span>

<span>(x = 30 since that is the maximum limit for regular working hours)</span>

7 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

two angles are supplementary one angle measures 75% more than twice the measure of the other what are the measurement of the two

valkas [14]

Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.

Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).

We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.

Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.

(3.5y) + y = 180

Combine like terms.

4.5y = 180

Divide by 4.5

y = 40

Plug y = 40 in and solve for x.

x + 40 = 180

x = 140

The answer is 40 and 140. Hope this helps :)

3 0

3 years ago