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kondaur [170]
3 years ago
11

Determine how many solutions the equation has. If one solution, state the value of x.

Mathematics
1 answer:
lina2011 [118]3 years ago
5 0

Answer:

x + 6 + 8 = 2x – x + 14 = True

Step-by-step explanation:

(all values of x are solutions)

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The spinner has 8 different rewards and the gift card is 1/8
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The probability of winning the gift card in the first place is always 1/8 no matter how many people have spun the gift card.  That being said, by the same principal, the change of them both winning a gift card is 2/16 which reduces to 1/8.  So the probability stays the same no matter what. If there was a limited number of gift cards, the probability would change with each spin and each win.  But it didn't say the number of cards available changes, just that it stays 1/8.
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Three people split an amount of money. 1 268 dollars and 1 gets 200 dollars. The third gets 40 percent. What is the amount?
Maksim231197 [3]

The total amount is $ 780

<em><u>Solution:</u></em>

Let the total amount be "x"

Given that,

First person gets $ 268

Second person gets $ 200

Third person gets 40 %

This means, third person gets 40 % of total amount

Third person = 40 % of x

Third\ person = 40 \% \times x\\\\Third\ person = \frac{40}{100} \times x\\\\Third\ person = 0.4x

We know that, total amount is equal to sum of amount got by all three persons

Total amount = first person + second person + third perosn

x = 268 + 200+ 0.4x\\\\x - 0.4x = 268 + 200\\\\0.6x = 468\\\\x = \frac{468}{0.6}\\\\x = 780

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6 0
4 years ago
In ΔLMN, \overline{LN} LN is extended through point N to point O, m∠NLM = (x+1)^{\circ}(x+1) ∘ , m∠LMN = (x+15)^{\circ}(x+15) ∘
mixer [17]

Answer:

26 degree

Step-by-step explanation:

We are given that  in triangle

\angle NLM=(x+1)^{\circ}

\angke LMN=(x+15)^{\circ}

\angle MNO=(4x+6)^{\circ}

\angle MNO+\angle MNL=180^{\circ}

By using linear pair angles property

\angle MNL=180-\angle MNO=180-(4x+6)

\angle MNL+\angle NLM+\angle LMN=180^{\circ}

By using triangle angles sum property

180-(4x+6)+x+15+x+1=180

2x+16=180-180+4x+6

16-6=4x-2x=2x

2x=10

x=\frac{10}{2}=5

Substitute the value

\angle MNO=4(5)+6=20+6=26^{\circ}

3 0
3 years ago
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