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3 years ago

What shows the greatest common factor of 18 and 24 with 18/24 in simplest form

Mathematics

2 answers:

Monica [59]3 years ago

5 0

Divide them both by 6

So it should be : 3/4

sveticcg [70]3 years ago

5 0

18 = 2*3*3

24 = 2*2*2*3

GCF = 2*3 = 6

18/24 = 18/6 / 24/6 = 3/4

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Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)

Fofino [41]

Answer:

$LS = 63$

Step-by-step explanation:

Given

$LS = 14x - 21$

$LH = 15$

$HS = 8x$

Required

Determine the length of LS

Since H is between L and S, then

$LS = LH + HS$

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

$14x - 21 = 15 + 8x$

Collect Like Terms

$14x - 8x = 21 + 15$

$6x = 36$

Divide both sides by 6

$x = 6$

Substitute 6 for x in $LS = 14x - 21$

$LS = 14(6) - 21$

$LS = 84 - 21$

$LS = 63$

<em>Hence, the length of LS is 63 units</em>

7 0

3 years ago

What is the value of h

Marta_Voda [28]

I believe it would be 0 fr

8 0

3 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago

(1, -6) and ( -8, 9 )

hichkok12 [17]

Answer:

What is the question am I supposed to calculate the slope? If so then the answer is 5/-3

Step-by-step explanation:

6 0

3 years ago

The following table shows the salary of 7 people in an office last year.

kotegsom [21]

Answer:

a. £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

7 0

3 years ago