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LuckyWell [14K]
3 years ago
15

11. Find the H.C.F of 96 and 120.​

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

24.

Step-by-step explanation:

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Then the greatest common factor is 24.

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Find the value of x.<br> a.17<br> b.12<br> c.40<br> d.18<br> e.none are correct
Natali5045456 [20]

Answer:

b.12

Step-by-step explanation:

<u>Key skills needed: Interior Angle Measure Theorem, Equation Creation</u>

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x

---> 9 + 133 + 14 -9+5+136 = 288    

5) This means that ---> 51x + 288 = 900

Subtract 288 from both sides  and get:

---> 51x = 612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
2 years ago
What is the value of 7-3+(6-2•4)
defon

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Anyone know how to do this?
sergiy2304 [10]

Answer:

11

Step-by-step explanation:

We need 60 dollars, we have 16

60-16 = 44

We need to earn 44 more dollars

At 4 dollars a pound

The money earned = lbs * dollars per pound

44 = lbs *4

Divide each side by 4

44/4 = lbs

11 = lbs

We must sell 11 more lbs

4 0
2 years ago
This distance time graph represents a journey made by jo what did jo do at minute 10
mariarad [96]

Answer:

Speed = 0.1333 km/minute

Step-by-step explanation:

According to the graph :

At 10 minutes, it could be observed that the Distance moved started to reduce until distance moved reached 0 at 20 minutes. This could be interpreted as a case of negative acceleration (that is deceleration) whereby the distance covered started to decrease with time until the it rest at 0.

Speed during the last 30 minutes :

Speed = distance / time

Distance moved during this period :

Distance (from 0 to 4km)

Time = (from 30 to 60 minutes)

Speed = (4 - 0) / (60 - 30)

Speed = 4 / 30

Speed = 0.13333 km per minute

8 0
3 years ago
Aiko jump rope for an amazing 20 min she stopped at 8:05 when did she start
Scrat [10]
Aiko jump roped for 20 minutes before stopping at 8:05. Just count 20 minutes back in order to see when she started.

8:05 - 20 minutes = 7:45
6 0
3 years ago
Read 2 more answers
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