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astraxan [27]
3 years ago
11

Drag a reason to each box to complete the proof.

Mathematics
1 answer:
Anna [14]3 years ago
6 0

To start off with, DF=EG's reason is given, since you stated it was given.


Next, DE+EF = EF+FG's reason is because of the substitution property of equality. Think "if a = c, b = c, then a = b"


Lastly, DE = FG's reason is because of the Subtraction property of equality. If you subtract EF on one side, you must do it on the other side.

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The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both s
Sophie [7]

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Step-by-step explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

8 0
3 years ago
Read 2 more answers
Mark sold x pens for $2 each. He received less than $80 from the sale. Find the greatest possible number of pens he sold
Crank
$80-$2= $78 is the number less than $80, since the pens cost $2

78/2= 39 pens is the greatest number of pens sold

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6 0
3 years ago
Read 2 more answers
A 15-minute TV program consists of one commercial of 1
Margarita [4]

Answer:

6 7/8 minutes

Step-by-step explanation:

Say the entertainment segments are each x minutes long. Then, we have the equation:

x + x + 1 1/4 = 15

2x + 1 1/4 = 15

2x = 15 - 1 1/4

We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:

60/4 - 5/4 = 55/4. Then: 2x = 55/4

Divide by 2 from both sides:

(55/4) / 2 = 55/8 = 6 7/8

Thus, each entertainment segment is 6 7/8 minutes long.

Hope this helps!

7 0
3 years ago
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90+(x+5)+(2x-2)=180<br> Will you please help me solve this
Zepler [3.9K]

Step-by-step explanation:

  • 90 + (x + 5) + (2x - 2) = 180
  • x + 5 + 2x - 2 = 180 - 90
  • 3x + 3 = 90
  • 3x = 87
  • x = 29
6 0
2 years ago
Read 2 more answers
HELP! <br> Find x. Round to the nearest tenth.<br> 64<br> 8
alina1380 [7]

Answer:

x= 3.5 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

4 0
3 years ago
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