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2 years ago

What are the x- and y- intercepts of the graph of 9x-3y = 18?

Mathematics

1 answer:

sineoko [7]2 years ago

3 0

Step-by-step explanation:

9x - 3y = 18

Solve for y:

1. 3y= 9x + 18

2. y= 3x + 6 (This is the equation you will graph)

To graph:

Make a table for y = 3x +6.

If x =0, y=6

If x =1, y=9

If x =-1, y=3

You could get as many points as you like, however you need at least TWO, to be able to draw the line.

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A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of

kaheart [24]

Answer:

100 liters of 10% solution is used and 20 liters of 40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

$0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100$ liters

Amount of 40% solution used = 120 -X = 120-100 = 20 liters

100 liters of 10% solution is used and 20 liters of 40% solution is used

7 0

2 years ago

The length of the minute hand is 150% of the length of the hour hand.

tangare [24]

The hour hand is 30 mm hope this is right

7 0

3 years ago

The number of households without a computer at home in 2009 was closest to A)801000 B)1153000 C)1737000 D)3433000 E)4017000

bagirrra123 [75]

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

$n=5170000$ --- survey

$p = 22.3\%$ --- proportion without computer

So, the actual number is:

$Number = p * n$

$Number = 22.3\% * 5170000$

$Number = 1152910$

$Number \approx 1153000$

<em>Hence: (B) is correct</em>

7 0

2 years ago

One sixth of fifty four

marissa [1.9K]

1/6 x 54 = 9
Hope this helps ;)

8 0

2 years ago

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked t

alekssr [168]

Answer:

Sleep hours per night is independent.

Step-by-step explanation:

Given the data:

Hours of Sleep 39 or younger 40 or older

> 6 _____38 36

6 to 6.9 _ 61 58

7 to 7.9 __76 74

8 or more 65 92

The Chisquare statistic is to be used to perform the analysis :

The hypothesis :

H0: Sleep hours per night is independent

H1: Sleep hours per night is not independent

χ² = (observed - Expected)² / Expected

To save computation time. We could use a Chisquare calculator to perform the analysis :

The test statistic = 4.0061

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (4-1)*(2-1) = 3*1 = 3

The Pvalue = 0.261

Since, Pvalue > α ; We fail to reject the H0 ;and conclude that sleep hours per night is independent.

______________total ___%

> 6 _____38 36__ 74 __ 14.8

6 to 6.9 _ 61 58 __ 119 __23.8

7 to 7.9 __76 74___150__30

8 or more 65 92___157__31.4

_______240 _260__500_100

7 0

2 years ago