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Viefleur [7K]
2 years ago
12

When positive integer A, which has n digits, is multiplied by (n+2) , the product is a number with (n+1) digits, all of whose di

gits are (n+1) . How many instances of A exist?
Mathematics
1 answer:
amid [387]2 years ago
5 0

Answer:

  A = 95238 (only)

Step-by-step explanation:

The question is equivalent to asking what n-digit number consisting only of the digit n will be divisible by n+1. Of the numbers 1, 22, 333, 4444, ... 999999999, the only one is 666666, which is divisible by 7.

The 5-digit integer A is 666666/7 = 95,238. There is only one instance of A.

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Solve 7r+ 2 = 5(r – 4) ​
AveGali [126]

Multiply the bracket by 5

I used PEMDAS

P= parenthesis

E= exponents

M=multiplication

D= division

A= addition

S= subtraction

7r+2= 5(r-4)

7r+2= 5r-20

Move 5r to the left hand side . Positive 5r changes to negative 5r

7r-5r+2= 5r-5r-20

2r+2=- 20

2r+2-2= -20-2

Move positive 2 to the right hand side. Changes to negative -2

2r+2-2= -20-2

2r= -22

Divide by 2 for 2r and -22

2r/2= -22/2

r= -11

Answer is r= -11

6 0
2 years ago
Read 2 more answers
BRAINLIESTTTTT PLS ANSWERRRRR
nlexa [21]

Answer:

x=9 and y=115

Step-by-step explanation:

Solve y=9x+34;y=16x−29

Steps:

I will solve your system by substitution.

y=9x+34;y=16x−29

Step: Solvey=9x+34for y:

Step: Substitute9x+34foryiny=16x−29:

y=16x−29

9x+34=16x−29

9x+34+−16x=16x−29+−16x(Add -16x to both sides)

−7x+34=−29

−7x+34+−34=−29+−34(Add -34 to both sides)

−7x=−63

−7x

−7

=

−63

−7

(Divide both sides by -7)

x=9

Step: Substitute9forxiny=9x+34:

y=9x+34

y=(9)(9)+34

y=115(Simplify both sides of the equation)

Hope this helps :)

3 0
3 years ago
Giá trị x thoả mãn x(x − 3) + x − 3 =0 là
svet-max [94.6K]

Here we will use the trial and error method.

  • We will try putting different values of x.
<h3 /><h3>1st of all</h3><h3>x=1</h3>

\begin{gathered}\\ \sf\longmapsto 1(1-3)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto (-2)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2-2=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -4≠0\end{gathered}

<h2>Now,</h2><h3>x=2</h3>

\begin{gathered}\\ \sf\longmapsto 2(2-3)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2(-1)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -3≠0\end{gathered}

<h2>Again,</h2><h3>x=3</h3>

\begin{gathered}\\ \sf\longmapsto 3(3-3)+3-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3(3-3)=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3×0=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 0=0\end{gathered}

<h3>☣Hence, The value of X as 3 satisfies the equation!</h3>
5 0
2 years ago
89,659 to the nearest thousand
zubka84 [21]
90,000 is the answer.
8 0
2 years ago
Read 2 more answers
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the
Lubov Fominskaja [6]

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

5 0
2 years ago
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