Question number 1 is attached below.

Answers

Answer 1

Answer: y= 5x+1. I just learned this yesterday lol

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PROVE ALGEBRAICALLY THAT 0.5 = 5/9

Answers

Answer:

See Below.

Step-by-step explanation:

Let:

$0.\overline{5}=n$

If we multiply both sides by 10, we get:

$5.\overline{5}=10n$

Now, we will subtract n from both sides:

$5.\overline{5}-n=10n-n$

On the left, we can replace the n:

$5.\overline{5}-.\overline{5}=10n-n$

Subtract:

$5=9n$

Divide both sides by 9:

$n=(5)/(9)$

Hence:

$n=0.\overline{5}=(5)/(9)$

Final answer:

Algebraically, 0.5 does not equal to 5/9. Instead, when 5/9 is converted to a decimal it equals approximately 0.56. The correct fraction representation of 0.5 is 1/2.

Explanation:

I'm sorry, but there seems to be a misunderstanding in your question. The algebraic representation of 0.5 is not equal to 5/9. If you convert 5/9 to a decimal, using division on a calculator or by hand, it doesn't equate to 0.5, but rather approximately 0.56. Let's go through the conversion step by step:

1. Divide the numerator (5) by the denominator (9).

2. This will give you a decimal approximation for the fraction.

So, 5 ÷ 9 = 0.56 (rounded to two decimal places).

This clearly shows that algebraically 0.5 does not equal 5/9. The valid algebraic equivalent of 0.5 in terms of fraction is 1/2.

Learn more about Fraction and Decimal Conversion here:

brainly.com/question/31738948

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Find the perimeter of a trapezoid with sides that measure 14.6 inches, 5.5 inches, 8.4 inches, and 16 inches.

Answers

Perimeter = sum of all sides = 14.6 + 5.5 + 8.4 + 16 = 44.5 inches

Solve 3x2 + 2x + 7 = 0. Round solutions to the nearest hundredth.(A)x ≈ −1.90 and x ≈ 1.23
(B)x ≈ −1.23 and x ≈ 1.90
(C)x ≈ −0.44 and x ≈ −3.56
(D)No real solutions

Answers

It is d work shown in the picture

What is the smallest?

70%, 3/4, 0.6, 2/3

Answers

70% = 0.7
3/4 = 0.75
0.6 = 0.6
2/3 = 0.667

In order from smallest to greatest:
0.6, 0.667, 0.7, 0.75 =
0.6, 2/3, 70%, 3/4

Therefore the smallest is 0.6

70% = 70%

3/4 = 0.75 = 75%

0.6 = 0.60 = 60%

2/3 = 2/3 of 100% = 66 and 2/3%

It looks to me as if 0.6 = 60% is the smallest of the 4 examples.

If your annual salary is $68,900, how much would be your salary in 3 years?. Write anEquation and solve the problem

Answers

Answer:

206,700

Step-by-step explanation:

We know that the starting salary is $68,900. And we need to figure out the salary during a 3 years period. so we take the one year salary (68,900) and multiply that by 3, for the 3 years. (3 × 68,900) which equally 206,700 dollars.

6/13 by 6/12? what is the answer

Answers

(6/13)/(6/12)= (6/13)*(12/6)= 12/13
This rule for division applies to all fraction divisions

If multiplied it's 0.23076923076. If divided it's 12/13.

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