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Lemur [1.5K]
3 years ago
7

Help ASAP! Find x: 4−x/5 + x+2/3 =6 Thank you!

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Mila [183]3 years ago
6 0

Answer: x=44

Step-by-step explanation:<em><u> Pretty straightforward! </u></em>

<em><u> </u></em>

<em><u>4-x/5 +x+2/3=6 </u></em>

<em><u> </u></em>

<em><u>3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3) </u></em>

<em><u> </u></em>

<em><u>12-3x+5x+10=90 (Use Distributive property to multiply across parentheses) </u></em>

<em><u> </u></em>

<em><u>-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side) </u></em>

<em><u> </u></em>

<em><u>2x=88 </u></em>

<em><u> </u></em>

<em><u>x=44 </u></em>

<em><u> </u></em>

<em><u>Thank you for your time!</u></em>

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a = 7
b = 15
c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

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Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

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3 years ago
A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

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Part b, would also be a combination, defined as follows

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Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

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part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

6 0
3 years ago
Alice works 42 hours, is paid $2.65 per hour, and receives $540.50 in tips. How much did Alice earn?
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Answer:

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Her total tip after 42hours is 540.5

Total money earned is 540.5+111.3 = 651.8

3 0
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