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nirvana33 [79]
3 years ago
9

Solve the inequality and graph its its solution -x/6 < 3​

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

Option C

Step-by-step explanation:

-x/6 ≤ 3

6(-x/6) ≤ 3 × 6

-x ≤ 18

-1(-x) ≤ -1(18)

x ≥ -18

So the line starts from -18 and extends infinitely to the right.

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Question: Find m HK...
Serhud [2]

Answer:

104degrees

Step-by-step explanation:

From the given diagram, line LJ bisects KN, hence arcKL = arcHJ

Given

arHJ = 4x

arc KJ = x+39

Equating both

4x = x+39

4x - x = 39

3x = 39

x = 39/3

x = 13

Since arcHK = arcHJ + arcKJ

arcHK = x+39+4x

arcHK = 5x+39

arcHK = 5(13) + 39

arcHK = 65+39

arcHK = 104degrees

Hence the measure of arcHK is 104degrees

7 0
3 years ago
There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0
3 years ago
The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions
VMariaS [17]

20’ / 5’ = 4

4 x 10” = 40”

40’ /5’ = 8

8 x 10” = 80”

Scaled dimension: 40” x 80”

6 0
3 years ago
Help help help help help
Arada [10]

Answer:

12f-5f²+6f+10f²= 10f²-5f²+12f+6f=5f²+18f

5 0
3 years ago
a car travels a distance of 200 miles in a time of 3.8 hours. What is its average speed rounded to 1dp​
AveGali [126]
200/3.8= 52.6 mph
This would work because average speed is distance divided by time
5 0
2 years ago
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