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LUCKY_DIMON [66]
2 years ago
10

Lee and Sheby race clockwise around a 400 meter oval

Mathematics
1 answer:
bija089 [108]2 years ago
6 0

Answer:

6,000 meters

Step-by-step explanation:

Length of one lap d = 400 m

Lee's speed = u = 7.2 km/h. Shelby's speed v = 9 km/h

After time t, Shelby will run x meters to cover exactly 3 more laps than Lee.

So x = vt

and

x - 3d = ut

Note t = x/v, then

x - 3d = x*u/v

x (1 - u/v) = 3d

x = 3d/(1 - u/v) = 3*400/(1 - 7.2/9) = 6,000 meters

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Addition-subtraction method<br><br> 8.92x-5.42y=3.41 5.83x+1.07y=2.37
lyudmila [28]
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41             (1)
5.83x + 1.07y = 2.37             (2)

We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42  to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487        (3)

5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454   (4)

Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009

From (2), obtain
1.07y = 2.37 - 5.83x
         = 2.37 - 5.83*0.4009
         = 0.0328
y = 0.0307

Answer:
 x = 0.4009
 y = 0.0307
4 0
3 years ago
 Sandra sells necklaces at a school craft fair. She uses the equation P= 7.5n - (2.25n + 15) to determine her total profit at th
gregori [183]
The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive. 

So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation

Focus on the revenue equation
R = 7.5n
which is the same as 
R = 7.50*n

This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue

As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n

So that's why the answer is $7.50

Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect. 
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3 years ago
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gulaghasi [49]

Answer:

The picture that represent her drawing is uploaded below. The height is 8 ft and the base is 6 ft.

Step-by-step explanation:

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Area of a triangle = 1/2bh

where

b = base

h = height

The drawing that represent Renee drawing is given below. The height is 8 ft and the base is 6 ft .

Using the formula

Area of a triangle = 1/2bh

Area of a triangle = 1/2 × 6 × 8

Area of a triangle = 48/2

Area of a triangle = 24 ft²

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The awnser is 130 ft.
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50 point question for this geometry test answer
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Answer:

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