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AveGali [126]
3 years ago
8

There are 54 new houses being built in a neighborhood. Last month, 2/3 of them were sold. This month, 5/6 of the remaining house

s were sold. How many houses are left to be sold?
Mathematics
1 answer:
ohaa [14]3 years ago
8 0
There are 6 houses left
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Find the common ratio for the geometric sequence for which a1=3 and a5=48
Rama09 [41]

The ratio is common, so you could write:

a1 * r^4 = a^5 (you do r^4 because there are 4 times you need to multiply by the ratio to get from a1 to a5)

Plug in the values:

3 * r^4 = 48

Divide by 3:

r^4 = 16

Take the fourth root of both sides:

r = 2

The common ratio is 2.

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3 years ago
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The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?
RideAnS [48]

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

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substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

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Look at the photo above

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3 years ago
Is this wrong?? If so whats the answer?
mart [117]

Answer:2/12

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3 years ago
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Please help me on this quick!! Thanks and please show work.
FinnZ [79.3K]
The two parallel bases b1 and b2 are
b1 = 12
b2 = 9
the order of which base you pick doesn't matter

The height is h = 10 and it's perpendicular to each base.

The area is...

A = (1/2)*h*(b1+b2)
A = (1/2)*10*(12+9)
A = (1/2)*10*(21)
A = 5*21
A = 105

Final Answer: B) 105 square centimeters
8 0
3 years ago
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