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Masteriza [31]
2 years ago
7

Does 4(x+1)=2x+4 have a solution

Mathematics
1 answer:
dmitriy555 [2]2 years ago
3 0

Answer: Yes, x = 0

Step-by-step explanation:

To solve for x, we will simplify things by distributing the 4 to the (x + 1) term. This means that our new equation will be

4x + 4 = 2x + 4

Now that we have our new equation, we will isolate x by subtracting 4 from both sides. After this, we will end up with

4x = 2x

At first glance, this may seem like no solution. What number has the same value when multiplied by 2 and by 4? Well, there infact is one. This can be shown when we subtract both sides by 2x to keep x on one side, and get

2x = 0

Divide by both sides to isolate x, and you get x = 0/2 = 0.

Thus, x = 0.

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The waitress and the hostess at a restaurant share the tips at the end of the shift. The average amount earned in tips between t
Hitman42 [59]
The waitress gets 45/75   = 3/5  of the tips 

so waitress gets 3/5 * 350 = $210 
8 0
3 years ago
Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?
MA_775_DIABLO [31]
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

  • angle NOP = angle NML
  • angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

5 0
3 years ago
Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds
valkas [14]

Answer:

15 weeks

Step-by-step explanation:

Let the number of weeks = x.

At the end of x weeks,

Jeremy has 120 + 14x,

and Katie has 180 + 10x

We want to know when their amounts are equal.

120 + 14x = 180 + 10x

4x = 60

x = 15

Answer: 15 weeks

8 0
2 years ago
Read 2 more answers
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drek231 [11]

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

7 0
2 years ago
Why is the relationship between distance and time linear?
MAVERICK [17]

Answer:

because as distance goes up so does distance

8 0
2 years ago
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