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uranmaximum [27]
3 years ago
11

I need help finding the whole question, i'm not sure if what i've done already if correct, thanks

Mathematics
1 answer:
artcher [175]3 years ago
3 0
Median of 15

(14 + b) / 2 = 15
14 + b = 15 * 2
14 + b = 30
b = 30 - 14
b = 16

range of 30
 c - a = 30....c = 30 + a

mean of 18
(a + 8 + 14 + 16 + 26 + c) / 6 = 18
(a + 8 + 14 + 16 + 26 + (30 + a)) / 6 = 18
(2a + 94) / 6 = 18
2a + 94 = 18 * 6
2a + 94 = 108
2a = 108 - 94
2a = 14
a = 14/2
a = 7

c - a = 30
c - 7 = 30
c = 30 + 7
c = 37

check..
7,8,14,16,26,37
median = (16 + 14) / 2 = 30/2 = 15 ...correct
range = 37 - 7 = 30...correct
mean(average) = (7 + 8 + 14 + 16 + 26 + 37) / 6 = 108/6 = 18...correct

so a = 7, b = 16, and c = 37

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MS. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts so
puteri [66]

x - 3y = 6 and x + y = 110 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

number of CDs Kitts sold last week "x" is 84 and number of CDs she sold this week "y" is 26

<h3><u>Solution:</u></h3>

Let "x" be the number of CDs Kitts sold last week

Let "y" be the number of CDs she sold this week

<em><u>Given that Last week she sold 6 more than 3 times the number of CDs that she sold this week</u></em>

Number of CDs Kitts sold last week = 6 + 3(number of CDs that she sold this week)

x = 6 + 3y ----- eqn 1

x - 3y = 6 ------- eqn 2

<em><u>Given that Ms. Kitts sold a total of 110 CDs over the 2 weeks</u></em>

Number of CDs Kitts sold last week + number of CDs she sold this week = 110

x + y = 110 ----- eqn 3

Thus eqn 2 and eqn 3 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

<em><u>Let us solve the above equations to find values of "x" and "y"</u></em>

Substitute eqn 1 in eqn 3

6 + 3y + y = 110

6 + 4y = 110

4y = 104

<h3>y = 26</h3>

From eqn 3,

x + 26 = 110

x = 110 - 26 = 84

<h3>x = 84</h3>

Thus number of CDs Kitts sold last week = x = 84

Number of CDs she sold this week = y = 26

6 0
3 years ago
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