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1 year ago

15.

Mathematics

1 answer:

alekssr [168]1 year ago

7 0

Answer:

15. y = 6x

16. x = 11

Step-by-step explanation:

15. A direct variation equation is of the form ...

y = kx

Solving for k, we find ...

k = y/x = 42/7 = 6

The equation is y = 6x.

16. Filling in the given values, we have ...

66 = 6x

11 = x . . . . . . . divide by 6

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Help 50 points and brainlest only if you answer all the questions

klasskru [66]

Answer: See below

Step-by-step explanation:

a) 6(3x+4y-8)

Use the distributive property:

6*3x + 6*4y - 6*8

18x + 24y - 48

So D is the correct answer

b) Factor out 4 because it can fit into 12 - 3 times - and 4 - one time.

12+4x

= 4(3+x)

So D is the correct answer

c) When you expand both C and D and simplify, you get 16x+36 as solution

d) 14x+2y+10z

Factor out 2 because it can fit into 14, 7 times. 2, one time. And 10, 5 times

14x+2y+10z

= 2(7x+y+5z)

So D is the correct answer again ;)

6 0

1 year ago

Read 2 more answers

The test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number sum

zhenek [66]

Answer:

Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.

As data already in increasing order, we find quartiles using the following formula,

$value\:of\:K_{th}\:Quartile\:,\, Q_k=\:value\:of\:(\frac{k\times{(n+1)}}{4})\,\:th\,observation$

where n = No. of Observations.

∴, 1st Quartile,

$Q_1 = \frac{1\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=8.25\,th\:observation\\\: \:\:= 8th\,+0.25(9th-8th)\\\:\:\:= 55 + 0.25(57-55)\\\:\:\:= 55.5$

2nd Quartile,

$Q_2 = \frac{2\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=16.5\,th\:observation\\\: \:\:= 16th\,+0.5(17th-16th)\\\:\:\:= 69 + 0.5(70-69)\\\:\:\:= 69.5$

3rd Quartile,

$Q_3 = \frac{3\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=24.75\,th\:observation\\\: \:\:= 24th\,+0.75(25th-24th)\\\:\:\:= 79 + 0.75(81-79)\\\:\:\:= 80.5$