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aniked [119]
3 years ago
15

If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s

quare inches, the width of the matting is
A: 2 inches
B: 2 4/11 inches
C: 3 inches
D: 4 inches

Mathematics
1 answer:
ELEN [110]3 years ago
4 0
Let
x-----------> <span>uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see  the attached figure

the solution is
x=2 in

the answer is
2 inches

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Lostsunrise [7]

Answer:

47+47+90+90= 274, 360-274= 86, 86÷2=43=x

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3 years ago
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2x+3=x+x+3<br> Show your work
Nitella [24]

Step-by-step explanation:

2x+3=x+x+3

add the X's on the right side together.

2x+3=2x+3

subtract 2x from both sides

3=3

subtract 3 from both sides

0=0

the statement is true for any value of x

5 0
3 years ago
The midpoint of AB is M(3,3). If the coordinates of A are (2,-8), what are the coordinates of B?
Lyrx [107]

Step-by-step explanation:

MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]

WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)

SUBSTITUTING INTO THE EQUATION ABOVE

(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]

EQUATING THE X COORDINATES

=> 3 = (2+ X2)/2 (CROSS MULTIPLY)

=> 6 = 2 + X2

X(subscript 2)= 4

EQUATING THE Y COORDINATES

=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)

6 = –8 +Y2

=> Y(subscript 2)= 14

THEREFORE THE COORDINATES OF B ARE (4 ,14)

hope this helps :)

4 0
3 years ago
Number of different 5 digit combinations if successive digits msut be different
Maslowich
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.

So number of combinations is 10*9*9*9*9 = <span>65610</span>
4 0
3 years ago
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money
sergiy2304 [10]

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

4 0
3 years ago
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