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Anarel [89]
3 years ago
8

The sum of the digits of a two digit number and the number reversed is 34. The difference of the number and the number with the

digits reversed is 36. Find the original number.
Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

original number: 62

Step-by-step explanation:

number: xy

(x+y) + (10y+x) = 34

2x + 11y = 34    (1)

(10x+y) - (10y+x) = 36

9x - 9y = 36

x - y = 4

x = y + 4

2* (y+4) + 11y = 34    (substitute (1))

13y + 8 = 34

13y = 26

y = 2

x = 6

Number: 62

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Isaac wants the equation below to have no solution when the missing number is placed in the box.
MatroZZZ [7]

Answer: 4

Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.

8 0
3 years ago
Read 2 more answers
Solve for e <br> 9e-7=7e-11
Scilla [17]

Answer:

e = -2

Step-by-step explanation:

9e-7=7e-11

Subtract 7e from both sides

9e-7e -7=7e -7e-11

2e -7 = -11

Add 7 to each side

2e -7+7 = -11+7

2e = -4

Divide each side by 2

2e/2 = -4/2

e =-2

3 0
4 years ago
Read 2 more answers
What is equal to 6(x-4)
nadezda [96]

Answer:

6x - 24

Step-by-step explanation:

6(x-4) .....

Multiply the parentheses by 6:

6x - 6 x 4

Multiply the numbers:

6x - 24

5 0
4 years ago
37th term; a1 = 2.3; d = -2.3
Sindrei [870]

<u>Answer:</u>

37th term of given arithmetic sequence a_1 = 2.3; d = -2.3 is -80.5.

<u>Solution:</u>

Given that  

Need to determine 37th term, when a_1 = 2.3, d = -2.3

Means first term of arithmetic sequence = a_1 = 2.3 and common difference d = -2.3

<u><em>Formula for nth term of arithmetic sequence is  </em></u>

\mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}  --- equation 1

\text { In our case } a_{1}=2.3, d=-2.3

We need to determine 37th term so n = 37.

On substituting given values in equation (1) we get

\mathrm{a}_{37}=\mathrm{a}_{1}+(37-1) \mathrm{d}

\begin{array}{l}{\Rightarrow a_{37}=2.3+(37-1)(-2.3)} \\\\ {\Rightarrow a_{37}=2.3(1-36)=2.3 \times 35=-80.5}\end{array}

Hence 37th term of given arithmetic sequence is -80.5

7 0
3 years ago
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennif
pishuonlain [190]

Answer:

808 over 25 as a faraction

Step-by-step explanation

a quarter of 65 is 16 4 over 25

16 4 over 25 times 2 808 over 25 as a fraction

4 0
3 years ago
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