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3 years ago

Determine if the lines are Parallel,Perpendicular or neither show steps x-5y=30 and 10y=2x+90

1 answer:

8 0

Answer: the lines are parallel

x - 5y = 30
-5y = 30 - x
y = 1/5x - 6

10y = 2x + 90
y = 1/5x + 9

The lines are parallel as they share the same gradient. (1/5x)

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Use your estimation skills to place each of the following onto the number line.

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2)√10 = 3+something (near +3, towards RHS)

3)√26 = 5+something (near +5, towards RHS)

4)-√5 = -2-something (near -2 towards left)

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3 years ago

Enter the value of b when the expression 14.1x - b is equivalent 4.7(3x-3.5)?

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Answer:

I believe it is: B= 16.45

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3 years ago

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

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The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

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3 years ago

Match each equation on the left to the mathematical property it uses on the right.

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Answer:

The answer to your question is:

Step-by-step explanation:

(4 + 5) + 2 = 4 + (5 + 2) Associative property of addition

2(2x + 4) = 4x + 8 Distributive property

( 7 x ) 3 = 7 (x 3) Associative property of multiplication

( 8 x 2) = (x 8 2) Commutative property of multiplication

( 7 + 3) + 1 = 1 + (7 + 3) Commutative property of addition

6 0

3 years ago

Read 2 more answers

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F

OlgaM077 [116]

Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

By standard normal table z=2.5758≈2.58

Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

$n=\frac{(2.58)^2(0.133)(0.867)}{(0.02)^2}=1918.89$

Hence, the Sample size is 1918.89035

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3 years ago