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ratelena [41]
3 years ago
11

When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can

finish the job in 2.5 hours.
Mathematics
1 answer:
Yuri [45]3 years ago
6 0

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

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The melt in your mouth chocolate factory is a rectangular building the distance across the front of the store is 294 feet the di
deff fn [24]

Answer:

The sign would be 784 ft. long.

Step-by-step explanation:

The sign would be painted across the total perimeter of the building.

- the distance across the front of the store is 294 feet

- the distance from the front to the back is one third of this distance = (1/3) × 294 = 98 ft.

The perimeter of a rectangular = 2(L + B)

L = length of the building = 294 ft.

B = Breadth of the building = 98 ft.

Perimeter of the chocolate factory that the Sign would be painted across = 2(294 + 98) = 784 ft.

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
I don't understand how to solve this pls help
Charra [1.4K]

the sine function is a many-to-one function and therefore has no inverse function.

However if the domain is restricted to -90° ≤ x ≤ 90°

Then the function is one-to-one for this domain

Thus, sin^{-1} x is defined as the angle such that - π/2 ≤ x ≤ π/2

5π/6 is therefore outwith the domain



7 0
3 years ago
Determine the greatest common factor of the following: 4x^2y^2, 3xy^4, 2xy^2
Mademuasel [1]
YOur greeatest common factor is 216. If you prime factor them it comes out to 216. Good luck.
7 0
3 years ago
Given f (x)=-3x+4 what is f (-4)<br> a.-40<br> b.-22<br> c.-1<br> d.40
FinnZ [79.3K]
F(x)=-3(x)+4
Therefore this implies that we must put the -4 where we see an X on the equation
F(-4)=-3(-4)+4
=16
6 0
3 years ago
Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo
Likurg_2 [28]

Answer:

The given equation is

25x^{2} +4y^{2}=100

Which represents an elipse.

To find its elements, we need to divide the equation by 100

\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1

Where a^{2} =25 and b^{2}=4. Remember that the greatest denominator is a, and the least is b. So, we extract the square root on each equation.

a=5 and b=2.

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is 2a=2(5)=10.

The length of the minor axis is 2b=2(2)=4.

The vertices are (0,5);(0,-5) and (2,0);(-2,0).

Now, the main parameters of an elipse are related by

a^{2}=b^{2} +c^{2}, which we are gonna use to find c, the parameter of the focus.

c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}

So, the coordinates of each focus are (0,\sqrt{21}) and (0,-\sqrt{21})

The eccentricity of a elipse is defined

e=\frac{c}{a}=\frac{\sqrt{21} }{5}  \approx 0.92

The latus rectum is defined

L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6

Finally, the graph of the elipse is attached.

7 0
3 years ago
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