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Ray Of Light [21]
2 years ago
10

Raul plans to run 30 miles this week. He wants to run the same number of miles each day of the week. He says he will run 7/30 mi

le each day. Is he correct? Explain
Mathematics
1 answer:
dmitriy555 [2]2 years ago
3 0
No, because if he runs 7/30 mile each day he will run 210 miles each week because he is running 30 miles every day so he has to run 7/4.28 miles each day of the week to get 30 miles each week.
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Suppose the supply function for a certain item is given by S(q)= (q+6)2 and the demand funtion is given by D(q)= (1000)/(q+6).
nasty-shy [4]

Answer: The equilibrium point is where; Quantity supplied = 100 and Quantity demanded = 100

Step-by-step explanation: The equilibrium point on a demand and supply graph is the point at which demand equals supply. Better put, it is the point where the demand curve intersects the supply curve.

The supply function is given as

S(q) = (q + 6)^2

The demand function is given as

D(q) = 1000/(q + 6)

The equilibrium point therefore would be derived as

(q + 6)^2 = 1000/(q + 6)

Cross multiply and you have

(q + 6)^2 x (q + 6) = 1000

(q + 6 )^3 = 1000

Add the cube root sign to both sides of the equation

q + 6 = 10

Subtract 6 from both sides of the equation

q = 4

Therefore when q = 4, supply would be

S(q) = (4 + 6)^2

S(q) = 10^2

S(q) = 100

Also when q = 4, demand would be

D(q) = 1000/(4 + 6)

D(q) = 1000/10

D(q) = 100

Hence at the point of equilibrium the quantity demanded and quantity supplied would be 100 units.

7 0
3 years ago
If f(3) = 9, what is f(1)<br>​
Vaselesa [24]

Answer:

3

Step-by-step explanation:

3*3=9

1*3=3

8 0
3 years ago
Read 2 more answers
The given line passes through the points (−4, −3) and (4, 1).
dimulka [17.4K]
1+3/4+4
4/8
1/2
y-3=-2(x+4)
y - 3 = -2(x + 4)
5 0
3 years ago
PLSSS HURRY I REALLY NEED THIS
Step2247 [10]

Answer: 1/10

Step-by-step explanation: -2/5+1/2=0.1

If we convert 0.1 into a fraction, it becomes 1/10.

7 0
1 year ago
Read 2 more answers
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (
Contact [7]

Answer:

(0, 1)

Step-by-step explanation:

In the picture attached, the question is shown.

From the picture:

  • x2 = -4 (x-coordinate of the endpoint)
  • y2 = 9 (y-coordinate of the endpoint)
  • x1 = 2 (x-coordinate of the startpoint)
  • y1 = -3 (y-coordinate of the startpoint)

Ratio m:n, means that m = 1 and n = 2.

Replacing into the formulas:

x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0

y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1

6 0
3 years ago
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