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s344n2d4d5 [400]
3 years ago
10

Julian study a dog walking business over his summer break. He charges $10 for every 1/3 hour he walks a dog if he increases his

feet by 10% what is the amount of increase per 1/3 hour?
Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0

Answer:

The amount of increase per \frac{1}{3}  hour by $1.

Step-by-step explanation:

Julian charges $10 for every \frac{1}{3} hour he walks a dog.

He increases his fee by 10%

Now we have to find 10% of $10

Amount increased = \frac{10}{100} .10 = 1

So the amount increased by $1.

The amount of increase per \frac{1}{3}  hour by $1.

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An eight-pack of juice boxes for $4 has a unit rate of $2 per juice box.
finlep [7]

Answer:

thats false the unit rate would be $0.5

4 0
3 years ago
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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
3 years ago
A quadratic equation is shown below: 4x2 − 12x + 9 = 0
lys-0071 [83]
A)

The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.

If:

d<0, there are no real solutions (though there are two imaginary ones)

d=0, there is one real solution

d>0, there are two real solutions.

In this case, d=12^2-4(4)9

d=144-144

d=0

So there is one real solution.

B)

9x^2-30x+25=0

9x^2-15x-15x+25=0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)^2=0

x=5/3

x=1 2/3
6 0
3 years ago
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the bas
Tasya [4]
12.5 inches is the answer
5 0
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Find the pay earned: 33 hours at $5.15 per hour
Inessa [10]
$169.95 

33*5.15=169.95
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3 years ago
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