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irina1246 [14]
2 years ago
6

What is: k–66≤ – 84 in one-step inequalities?

Mathematics
1 answer:
kykrilka [37]2 years ago
8 0

Answer:

k\le \:-18

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: k-66+66\le \:-84+66

Finally, you simplify and get: k\le \:-18

Hope this helped!

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LiRa [457]
Uv al dt or trace mcsorely
4 0
3 years ago
How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
David inherited some money from his uncle. He invested half of the money with Bernie
ValentinkaMS [17]
Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM: 
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24, 

   x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 *   8/8   = 8x / 24
x/8 *   3/3   = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k
 
3 0
3 years ago
Can someone please help me with this​
olasank [31]

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

6 0
3 years ago
Solve 5x-7x6=7x+6=-2(x-3)
Nata [24]

Answer:

i cannot tell where the seperate numbers are and where the x is multiplication and what numbers are negative. post it agian but put spaces in beetween.

Step-by-step explanation:

remember:

PEMDAS

P- parenthases

E- exponents

M- multiplication

D- division

A- addition

S- subtraction

note:

M, D are tied so do it left to right

A, S are tied so do them left to right

3 0
3 years ago
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