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Ratling [72]
2 years ago
6

A number consist of 2 digits whose sum is 8, If 8 is subtracted from the number, the digits interchange their place. The number

is​
Mathematics
2 answers:
Novay_Z [31]2 years ago
8 0

Step-by-step explanation:

Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.

The sum of the digits is 8:

x + y = 8

If 8 is subtracted from the number, the digits switch place.

10x + y − 8 = 10y + x

Simplify the second equation:

9x − 8 = 9y

Substitute from the first equation.

y = 8 − x

9x − 8 = 9 (8 − x)

9x − 8 = 72 − 9x

18x = 80

x = 4.444

There's a problem.  x isn't an integer.  Are you sure you copied the problem correctly?  Perhaps you meant if 18 is subtracted from the number, the digits switch place.

9x − 18 = 9 (8 − x)

9x − 18 = 72 − 9x

18x = 90

x = 5

y = 8 − x

y = 3

So the number is 53.

ratelena [41]2 years ago
4 0

x+y=8\\10x+y-8=10y+x\\\\x+y=8|\cdot9\\9x-9y=8\\\\9x+9y=72\\\underline{9x-9y=8}\\18x=80\\x=\dfrac{80}{18}=\dfrac{40}{9}

x is not integer, so there must be a mistake in the problem.

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You do 390/100 = 180/x then 390×X=390X
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Answer:

B: Survey 3 randomly selected students from every homeroom.

Step-by-step explanation:

This would be the best way to survey, because all the others have some sort of variable. The principle doesn't know who buys lunch and who doesn't, so why would he just ask kids who ride in a car as there are kids who ride buses, or only 7th grade students, so the best answer would be something that everyone has, like homeroom.

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How many counting numbers have three distinct nonzero digits such that the sum of the three digits is 7?​
SOVA2 [1]

Answer:

6

Step-by-step explanation:

You have 2 conditions.

1. The digits must be different.

2. The digits must add to 7.

There aren't very many

124

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412

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That's it. That's your answer. There are 6 of them

7 0
3 years ago
model aeroplane is made to a scale of 1 by two of the size of the real plane the area of the wings of the real plane are 40 m sq
4vir4ik [10]

The area of the wings of the model is 100000 square centimeters

<h3>How to determine the model area of the wings?</h3>

The given parameters are:

Scale factor, k = 1/2

Actual area of wings, A = 40 square meters

The model area is calculated as

Model area = Actual area * k^2

This gives

Model area = 40 * (1/2)^2

Evaluate

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Model area = 10 * 10000 square centimeters

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Hence, the area of the wings of the model is 100000 square centimeters

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6 0
2 years ago
Help please ! it’s one of the multiple choices
sammy [17]

Answer:

Option C

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\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}

\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}

                       \sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)

3 0
2 years ago
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