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3 years ago

4(x+3)-4=8(1/2x+1) What is x

Mathematics

2 answers:

butalik [34]3 years ago

8 0

Answer:

x=x Infinitely many solutions

Step-by-step explanation:

4(x+3)-4=8(1/2x+1)

4x+12-4=4x+8

4x+8=4x+8

-8 -8

4x=4x

x=x

Infinitely many solutions?

DanielleElmas [232]3 years ago

5 0

Answer:

i think the answer is x=4

hope it helps

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Find the value of n that makes ΔDEF ∼ΔXYZ when DE = 4, EF = 5, XY = 4(n+1), YZ = 7n - 1, and ∠E ≅∠Y. n =

dalvyx [7]

Answer:

Step-by-step explanation:

It's given that ΔDEF ∼ΔXYZ . So the corresponding sides of both triangles will be proportional to each other.

$= > \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz}$

DE = 4 ; XY = 4(n + 1) ; EF = 5 ; YZ = 7n - 1

Putting all these values gives ,

$\frac{4}{4(n + 1)} = \frac{5}{7n - 1}$

$= > \frac{1}{n + 1} = \frac{5}{7n - 1}$

$= > 7n - 1 = 5(n + 1)$

$= > 7n - 1 = 5n + 5$

$= > 7n - 5n = 5 + 1$

$= > 2n = 6$

$= > n = \frac{6}{2} = 3$

3 0

3 years ago

Read 2 more answers

Which graph represents the solution to the compound inequality?

zmey [24]

The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

<h3>Which graph represents the solution to the compound inequality?</h3>

The inequalities given in the task content can be solved as follows;

For –2x + 4 ≤ 8

-2x ≤ 8 -4

x >= -2

For –2x + 4 > –6

–2x > –6 -4

x < 5

Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

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3 0

2 years ago

PLEASE HELP!!! THIS IS DUE TODAY!

Greeley [361]

Answer:

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3 years ago

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Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at B

Galina-37 [17]

Answer:

$Min =120, Max= 150$

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

$Q_1 = \frac{140+120}{2}=130$

The median is the value in the 6th position from the dataset ordered and we got:

$Median= 135$

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

$Q_3 = \frac{140+143}{2}=141.5$

The five number summary for this case:

Min. 1st Qu. Median Mean 3rd Qu. Max.

120.0 130.0 135.0 135.6 141.5 150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

$Min =120, Max= 150$

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

$Q_1 = \frac{140+120}{2}=130$

The median is the value in the 6th position from the dataset ordered and we got:

$Median= 135$

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

$Q_3 = \frac{140+143}{2}=141.5$

The five number summary for this case:

Min. 1st Qu. Median Mean 3rd Qu. Max.

120.0 130.0 135.0 135.6 141.5 150.0

The boxplot is on the figure attached

8 0

3 years ago

A sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere

Serga [27]

Answer:

<h2>Diameter = 6 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:

$\dfrac{4}{3}\pi R^3=36\pi$ <em>divide both sides by π</em>

$\dfrac{4}{3}R^3=36$ <em>multiply both sides by 3</em>

$4R^3=108$ <em>divide both sides by 4</em>

$R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm$

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

3 0

3 years ago