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Amiraneli [1.4K]
3 years ago
14

What is 14 7/12 minus 5 1/4 simplified

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

9 1/3

Step-by-step explanation:

To evaluate 14 7/12 minus 5 1/4, recognize that the LCD here is 12 and that 5 1/4 must therefore be changed to 5 3/12.

Subtracting 5 3/12 from 14 7/12 yields  9 4/12, which, after reduction, is

9 1/3

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X^2+y^2-10x-16y+53=0<br> What is the center of the circle?<br> What is the radius of the circle?
Anon25 [30]

Answer:

Step-by-step explanation:

hello :    Completing The Square

X²+y²-10x-16y+53=0 means : (x²-10x+25-25)+(y²-16y+16-16)+53 =0

(x²-10x+25)-25)+(y²-16y+64)-64+53 =0

(x+5)²+(y-8)² -25-64+53=0

(x+5)²+(y-4)² = 6²  standard form

the center is (-5 , 4) and the radius : 6

7 0
2 years ago
The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
-BARSIC- [3]
Let X and Y be the digits.
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When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\&#10;10x+y+54=10y+x \\ \\&#10;x+y=12 \\&#10;10x-x+y-10y=-54 \\ \\&#10;x+y=12 \\&#10;9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\&#10;x+y=12 \\&#10;\underline{x-y=-6} \\&#10;x+x=12-6 \\&#10;2x=6 \\&#10;x=\frac{6}{2} \\&#10;x=3 \\ \\&#10;x+y=12 \\&#10;3+y=12 \\&#10;y=12-3 \\&#10;y=9

The digits X and Y are 3 and 9, so the original number is 39.
8 0
3 years ago
Tyrone wants to remodel his bathroom floor using 168 tiles. If one tile costs $7.51, estimate the total cost for the tile projec
Ludmilka [50]
Answer: $1,261.68
Multiply the cost for one tile ($7.51) by the number of tiles being used (168)
6 0
3 years ago
What is the graph of the function y = |x| + 2? How is this graph different from the parent function?
Molodets [167]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
Hey 1200 seat theater sells two types of tickets for a concert. premium seats sell for $30 each and regular seats so for $20 eac
STatiana [176]
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
3 0
3 years ago
Read 2 more answers
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