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lesantik [10]
3 years ago
6

Can u guys PLEASE answer question 26 and 27. THIS IS URGENT

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Step-by-step explanation:

(26)  \\ \frac{m}{3} - 4 \geqslant  \frac{m - 2}{4}   \\  \\  \therefore \: \frac{m - 12}{3} \geqslant  \frac{m - 2}{4}   \\  \\ \therefore \:\frac{4(m - 12)}{12} \geqslant  \frac{3(m - 2)}{12}    \\  \\ \therefore \:4m - 48 \geqslant 3m - 6 \\  \\ \therefore \:4m - 3m \geqslant 48 - 6 \\  \\  \huge \red{ \boxed{\therefore \:m \geqslant 42}} \\  \\ (27) \\  \frac{a}{2}  -  \frac{a - 3}{3}  < 5 -  \frac{a}{6}  \\  \\ \therefore \: \frac{3a - 2a + 6}{6}  <  \frac{30 - a}{6}  \\  \\ \therefore \: \frac{a + 6}{6}  <  \frac{30 - a}{6} \\  \\ \therefore \: a + 6 < 30 - a \\  \\ \therefore \: a + a < 30 - 6 \\  \\ \therefore \: 2 a < 24 \\  \\ \therefore \:  a <  \frac{24}{2}  \\  \\  \huge \orange{ \boxed{\therefore \:  a <  12}}

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Why is 3^7 equal to 7 1/3
valentinak56 [21]

The required answer is (7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7.

<u>what is a power rule for exponents ?</u>

(a^m)^n=a^{mn} is known as the power rule for exponents. Exponent times power is how you raise a number with an exponent to a power.

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. It could be an integer, a fraction, a negative integer, or a decimal.

(7^{\frac{1}{3}})^{3} = (7^{\frac{1}{3}*3}) = 7^1=7

Here, we have used the rule (a^m)^n=a^{mn}

To learn more about the power rule for exponents from the given link

brainly.com/question/819893

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8 0
1 year ago
Johnny left home and drove west 6 miles to Bakersville for flowers. Then he drove 8 miles north to his girlfriend's house. How f
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legs are 6 and 8

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3 years ago
2x+7y=-20, y=3x+7. solve using elimination
Setler79 [48]

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(x,y) = (-3,-2)

Step-by-step explanation: Please brainliest!

8 0
2 years ago
The number 6 is a member of which four groups of real numbers?
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3 years ago
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0
3 years ago
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