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3 years ago

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Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

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Vikentia [17]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12

umka2103 [35]

Answer:

The median = 5

The mode = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

6 0

3 years ago

The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fracti

jolli1 [7]

Question:

The quantities x and y are proportional.

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Find the constant of proportionality (r)

Answer:

$r = 1\frac{10}{11}$

Step-by-step explanation:

Given

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

$y = rx$

When

$y = 2\frac{1}{3}$ $x = 1\frac{2}{9}$

Substitute these values in the given formula

$2\frac{1}{3} = r * 1\frac{2}{9}$

Convert both fractions to improper fractions

$\frac{7}{3} = r * \frac{11}{9}$

Multiply both sides by $\frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r$

Reorder

$r = \frac{7}{3} * \frac{9}{11}$

$r = \frac{7 * 9}{3 * 11}$

Divide the numerator and denominator by 3

$r = \frac{7 * 3}{11}$

$r = \frac{21}{11}$

Convert to mixed fraction

$r = 1\frac{10}{11}$

<em>Hence, the constant of proportionality is </em> $1\frac{10}{11}$ <em></em>

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3 years ago

James opened a savings account with $425. After 2 years, the total interest he earned was $10.20. What was the annual interest r

SashulF [63]

Answer:

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Step-by-step explanation:

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3 years ago

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bija089 [108]

Answer:

Step-by-step explanation:

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