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nlexa [21]
3 years ago
15

How to solve 2/3x-36>22

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

Step-by-step explanation:

2/3x-36 > 22

Multiple each term by 3

3(2/3x-36) > 3(22)

2x - 108 > 66

Collecting like terms

2x > 66 + 108

2x > 174

x > 174/2

x > 87

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Ben said the graph of the inequality
Ksivusya [100]

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

-x^{2} +9 > 0

Multiply by -1 both sides

x^{2} -9 < 0

Adds 9 both sides

x^{2} < 9

The solutions are

x < 3

and

-x < 3 -----> Multiply by -1 both sides ----> x > -3

therefore

The solution is the interval (-3,3)

Ben is incorrect

7 0
3 years ago
Determine the next term in the geometric sequence. -1, -6, -36, -216, ??
nordsb [41]
You are multiply by 6 each time.

The next term is -216 x 6

-216 x 6= -1296

-1296 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
In ∆ABC, point D is the centroid. If (AE) ̅=15, (BF) ̅=27, and (CD) ̅=8, find the following lengths
Anna71 [15]

Answer:

5,18,12 cms are the answer.

Step-by-step explanation:

Given is a triangle ABC.  Point D is the centroid.  

E,F and G are midpoints of CB, BA and AC respectively.

AE, BF and CG are medians of the triangle.

We know that centroid divides the median in the ratio 2:1

Using this we find that AD:DE = 2:1

Or AD+DE:DE = (2+1):1

AE:DE =3:1

15:DE = 3:1 . Hence DE =5 cm.

On the similar grounds we find that DF = 1/3 BF = 9

Hence BD = DF-BF = 27-9 =18 cm

and also

CG = 3/2 times CD = 12 cm.

7 0
3 years ago
Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho
Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

6 0
3 years ago
12.33 to the nearest tenth
ivann1987 [24]
12.3 is the answer i think 
7 0
3 years ago
Read 2 more answers
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