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algol13
3 years ago
8

Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spe

nt on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

y = ⅓(x - 1425)

Step-by-step explanation:

Given

Budget = x

Mortgage = 1425

Required

Determine the amount spent on recreational activities.

First, we need to get the balance after she pays her mortgage.

Balance = Budget - Mortgage

Balance = x - 1425

From the question, we understand that she spends ⅓ of the balance on recreational activities.

Represent this with y.

y is calculated as thus:

y = ⅓ of Balance

y = ⅓ * (x - 1425)

y = ⅓(x - 1425)

Hence, the above equation y = ⅓(x - 1425) can be used to calculate the amount spent on recreational activities

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B should be the only correct answer.

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tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

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A=\frac{\theta}{360}*\pi r^2

Where

\theta  is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

\theta = 80

Also, the radius of the circle shown is 10 meters, so

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Now, we substitute in formula and find our answer:

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Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0
3 years ago
Every month, Mr. Leroy pays his rent through automatic payments (withdrawals) from his
GarryVolchara [31]

Answer:

-445/month

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6 0
3 years ago
A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
Zinaida [17]

Answer:

L  =  23 in

h  = 46  in

Step-by-step explanation:

Let call  " x "  and  " y "  dimensions of the print area of the poster then:

882 = x*y  and   y = 882/x

We also know that dimensions of the poster is:

L  =  x + 2   in  and     h  =  y + 4 in

Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )  And area as function of x is:

A(x)  =   ( x + 2 ) * ( 882/x + 4 )

A(x)  =  882 + 4*x + 1764 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4  - 1764/x²

A´(x)  = 0      ⇒      4  - 1764/x² = 0      ⇒ 4*x² - 1764  =  0

x²  =  1764 / 4

x²  = 441

x  = 21 in      and    y  =  882/x         y  = 42

The second derivative  A´´(x)  is > 0  ( the second term changes its sign to +) there is a minimum for the function at the point      x = 21

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L  = x  +  2   =   21  + 2  =  23 in   and

h = y  +  4   =   42  + 4  =  46  in

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3 years ago
What is the least common multiple<br> of 1/3 5/8 1/2?
joja [24]

Answer: The answer is 16.

Step-by-step explanation:

The least common denominator means the same as least common multiple.

3, 6, 9, 12, 16

8, 16

2, 4, 6, 8, 10, 12, 14, 16y-step explanation:

7 0
3 years ago
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