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svp [43]
3 years ago
11

When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help

, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer:

5 hours

Step-by-step explanation:

saveliy_v [14]3 years ago
5 0

Answer:

8 3/4

Step-by-step explanation:

time for all work:

Mother - 5 hours

Mother + Sandy + Allen - 2.5 hours

Mother + Allen - 3.5 hours

Sandy - x

In 1 hour

Mother - 1/5

Mother + Sandy + Allen - 2/5

Mother + Allen - 2/7

Sandy - 1/x

(M+S+A) - S = (M+A)

2/5 - 1/x = 2/7

solve equation

x = 8 3/4 hours

Hope this helps :)

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Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After
lina2011 [118]
Assume that Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
  m = 14/4 = 3.5, and the y-intercept is
  b = 0.
Therefore
v(t) = 3.5t,  for 0 ≤ t ≤ 4

Fromt=4 to t=9,  changes from 14 to 4.
Let v(t) = mt + b
The slope is
  m = (4 - 14)/(9 - 4) = -2
Therefore
  v = -2t + b
When t=4, v=14, therefore
 14 = -2*4 + b = -8 + b
 22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t,  0 ≤ t ≤ 4
      = -2t + 22,  4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h

3 0
2 years ago
WILL MAKE THE BRAINLIEST!
mojhsa [17]

Answer:

A. (x,y) → (x-5,y-3)

Step-by-step explanation:

That's the answer

7 0
3 years ago
The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence
Alla [95]

Answer:

Exterme Value: (2,4).

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is y=x^2-4x+8.

We add and subtract the square of half the coefficient of x.

y=x^2-4x+(-2)^2-(-2)^2+8.

The first three terms form a perfect quadratic trinomial.

y=(x-2)^2+4.

This function is now written in the form y=a(x-h)^2+k, where (h,k) is the extreme value(vertex).

The extreme value or the vertex is (2,4).

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

3 0
3 years ago
Which ratio does not belong with the other three? Explain your reasoning. 4/10 2/5 3/5 6/15
JulsSmile [24]

Answer:

3/5

Step-by-step explanation:

7 0
3 years ago
Y=-5x+3 in standard form
vazorg [7]
Standard form =
ax + by = c

y = -5x + 3
Add 5x to both sides.

5x + y = 3
And this is your answer.
6 0
3 years ago
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