Answer:
The answer is below
Step-by-step explanation:
From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).
a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through
Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:
b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:
y = 14x - 108.5
56 = 14x - 108.5
56 + 108.5 = 14x
164.5=14x
x = 164.5/14
x = 11.75
When the tower is 56 meters tall, the top of the tower is 11.75 m off center
This means that the bicycle was discounted in total by 60%, so $315 is 40% of the original price to get 40% to 100% youd multiply it by 2.5 so so the same to the price 315 x 2.5= 787.5
Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
7 and 1/8. all you need to do is add these together by getting a common denominator of eight
Answer:
The area of new pumpkin patch is 
= 15 x² + 380 x + 2400
Step-by-step explanation:
Given as :
The length of rectangular patch = L = 40 meters
The width of rectangular patch = W = 60 meters
So, The area of rectangular patch = Length × Width
Or, 
= L × W
So , = 40 meters × 60 meters
Or, = 2400 meters²
Again The Width of new Patch = ( 40 + 3 x ) meter
And The Length of new Patch = ( 60 + 5 x ) meter
Or, = L × W
So , = ( 40 + 3 x ) meters × ( 60 + 5 x ) meters
Or, = 2400 + 200 x + 180 x + 15 x²
Or, = 15 x² + 380 x + 2400
Hence The area of new pumpkin patch is = 15 x² + 380 x + 2400 Answer
