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denpristay [2]
3 years ago
6

Can someone check my work and tell me if i did this right?

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

Everything is correct! Nice job! Oh and btw Nice handwriting I love it

Step-by-step explanation:

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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.
If a two-digit number is written XY, then its value is 10x+y.
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 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
8 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4
wel

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).


So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

6 0
3 years ago
Read 2 more answers
Which expression is equivalent -21.8-(-18.3)
navik [9.2K]
<span> -21.8-(-18.3) (2 negative signs become positive)
=</span><span> -21.8 + 18.3
= - 3.5

Answer
- 3.5</span>
3 0
3 years ago
Read 2 more answers
Mrs. Olga’s $250 investment earns 19% interest compounded annually. What will her balance be after 3 years?
Maurinko [17]

Answer:

The answer is A. $421.29

Step-by-step explanation:

Just keep finding 19% of the numbers next, and you add that all up and you get the answer.

250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475

354.025+67.26475=> 421.28975, which can round up to 421.29.

6 0
3 years ago
Read 2 more answers
There are 40 marbles in a bag if 14 if the marbles are red what percent of the marbles in the bag are red
Neporo4naja [7]
\frac{14}{40} \times 100\%=\frac{7 \times 2}{20 \times 2} \times 100\%=\frac{7}{20} \times 100\%=7 \times \frac{100}{20} \%=7 \times 5\%=35\%

35% of the marbles are red.
4 0
3 years ago
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