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3 years ago

45 POINTS! PLEASE HELPPPPPPPPPPPPPP!

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer:

This is a direct variation where the constant of variation is 5/9

Step-by-step explanation:

The equation for direct variation is y = kx

5x-9y =0

Lets try to get this equation in the above form

Add 9y to each side

5x-9y +9y = 9y

5x = 9y

Divide each side by 9

5/9 x = 9y/9

5/9x = y

This is in the form y = k x where k =5/9

You might be interested in

Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-pound box of crackers for $4.68. The unit price at P

Vesna [10]

Answer:

The unit price at Price-Club is $0.2158 per ounce.

The unit price at Shop Mart is $0.2925 per ounce.

Step-by-step explanation:

Price Club:

12-ounce box of crackers for $2.59

12 ounces - $2.59

1 ounce - x

$12x = 2.59$

$x = \frac{2.59}{12}$

$x = 0.2158$

The unit price at Price-Club is $0.2158 per ounce.

Shop Mart:

1-pound box of crackers for $4.68.

1 pound is 16 ounces. So

16 ounces - $4.68

1 ounce - x

$16x = 4.68$

$x = \frac{4.68}{16}$

$x = 0.2925$

The unit price at Shop Mart is $0.2925 per ounce.

8 0

3 years ago

Help

Evgen [1.6K]

Answer:

8.6

Step-by-step explanation:

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6

5 0

3 years ago

Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92

mash [69]

Answer:

$S.D = 15.98$

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

$Mean = \frac {\sum x}{n}$

Where x-> 76,45,64,80,92 and n = 5

$Mean = \frac {76+45+64+80+92}{5}$

$Mean = \frac{357}{5}$

$Mean = 71.4$

Subtract Mean (71.4) from each of the given data

$76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6$

Determine the absolute value of the above result

$|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6$

Square Individual Result

$4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36$

Calculate the mean of the above result to give the variance

$Mean = \frac {\sum x}{n}$

$Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298$

Hence, Variance = 255.298

Standard Deviation is calculated by $\sqrt{Var}$

$SD = \sqrt{255.298}$

$S.D = 15.9780474402$

$S.D = 15.98 (Approximated)$

6 0

3 years ago

Chester and Mary have pencils in a ratio of 2:4. Together they have 24 pencils. What percentage of the total pencils does Mary h

weeeeeb [17]

She has 67% of the pencils.

Chester:Mary = 2:4 = 1:2
So, in the simplest case:
If Chester has one pencil Mary would have two.
There are three pencils.
Mary has two.
2/3 = 0.667 = 67% (rounded)

3 0

3 years ago

Read 2 more answers

Ay bought a guitar on sale at 45% off. The original price was $576.75.

Mademuasel [1]

Answer:

a) $259.54 b) 317.21

Step-by-step explanation:

45% of $576.75 is $259.54

$576.75 - $259.54 = $317.21

4 0

3 years ago