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zhannawk [14.2K]
3 years ago
11

Clayton purchased eight model car kits he paid the same price for each kit he also bought a new air brush to use for $25 in tota

l Clayton spent $145 how much was each model car kit
Mathematics
1 answer:
wel3 years ago
5 0

Answer:

add

Step-by-step explanation:

add

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Decimal representation of rational number 8by 27 is what??
irakobra [83]

Answer:

8/27 is represented in decimal as 0.2962962963

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Which function has a greater rate of change that the function represented in the table
Galina-37 [17]

I don't see a table


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2 years ago
the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k me
Simora [160]

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/sc) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40}  \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

6 0
3 years ago
2.5(6x -4) = 10+4(1.5+0.5x)
Lemur [1.5K]

Answer:

x = 2

Nothing more, nothing less

6 0
2 years ago
A rectangle has an area of 54 square centimeters. The width is 3 more
Troyanec [42]

Answer:

W = 6

L = 9

Step-by-step explanation:

area = 54 = L x W

L = W + 3

substitute for L:

54 = W(W + 3)

W² + 3W = 54

W² + 3W - 54 = 0

(W + 9)(W - 6) = 0

W = 6

L = 6 + 3 = 9

7 0
3 years ago
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