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ycow [4]
3 years ago
5

In the two digit number x,both the sum and the difference of its digit is 6. What is the value of x ?

Mathematics
1 answer:
Levart [38]3 years ago
3 0
Let a be the first digit and b the second. Then the number is x=10a+b. The sum and difference of the two digits is 6, which means

\begin{cases}a+b=6\\a-b=6\end{cases}\implies a=6,b=0

which means the number is x=6\times10+0=60
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Solve the following equation x(x + 19) = -34
xxMikexx [17]
Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>
5 0
3 years ago
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At julies fabric store a yard of chiffon fabric cost 7.85. lee plans to purchase 0.8 yard for a craft project if lee gives the c
Oksanka [162]
$7.85 x .8 yards=$6.28.  

$10-$6.28=$3.72 change back
4 0
3 years ago
in a five character password the first two characters must be digits and the last three characters must be letters if no charact
Vilka [71]

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000

1,404,000 unique passwords are possible.

5 0
3 years ago
Urgent Fast!!!!!!!??????​
faltersainse [42]

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

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leonid [27]
6.31 is a rational number.
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3 years ago
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