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Flura [38]
3 years ago
7

The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant

of variation is 28. Find the time it takes to complete the job when the number of workers is 16.
A.1.75 hours

B.0.57 hours

C.12 hours

D.448 hour
Mathematics
1 answer:
Vlad [161]3 years ago
5 0

Answer: should be A: 1.75 hours

Step-by-step explanation: divide 28/16 to give you 7/4, then you should turn this into a decimal which gives you 1.75

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On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
brilliants [131]

Answer:

195

Step-by-step explanation:

½(B¹ + B²) h is the formula for a trapezoid so you would do

1/2(10+16)15 which gives you 195

6 0
3 years ago
The sum of two numbers is 50 and their difference is 4 what are the two numbers
Deffense [45]

Answer:

27 and 23

Step-by-step explanation:

We can solve this problem as a system of equations. X is the first number and Y is the second number.

The first equation is x+y = 50 and the second equation is x-y=4

Now we solve the system, using elimination method:

x+y=50

x-y=4

2x = 54

x = 54/2

x = 27

And from any of the equations we can find Y

27 + y = 50

y = 50 - 27

y = 23

6 0
3 years ago
How many of the first 1000 positive integers are multiples of both 4 and 5 but not 6 ?
castortr0y [4]
Let's begin by breaking  each number down into its prime factors:    4 = 2 x 2    5 = 5    6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number:    common prime factors: 2    unique prime factors:  2,5,3    LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder):    10,000/60 = 166 and 2/3    Multiples of ALL 3 numbers (4,5,6) = 166  Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number:    common prime factors:  none
    unique prime factors:  2 x 2 x 5
    LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
    10,000/20 = 500
    Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer:   Multiples of ONLY numbers 4 and 5 (excluding 6):       500 - 166 = <span>334</span>
5 0
3 years ago
The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?
In-s [12.5K]
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
7 0
3 years ago
Read 2 more answers
solve the system of linear equations using substitution. Which expression would be eastier to substitute into the other equation
Colt1911 [192]
The x=7y-4 one and put it to where the x in the other equation is.
7 0
3 years ago
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