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zimovet [89]
3 years ago
13

What is the justification for each step in the solution of the equation?

Mathematics
2 answers:
Marrrta [24]3 years ago
7 0
4(4x + 6) - 7 = 77 - 4x......distribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equality....add 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 ....division property....divide both sides by 20
x = 60/20
x = 3
Zinaida [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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Simplify 4r-4r-10s+2s
sertanlavr [38]

The answer is: −8s

Hope this helps :)

5 0
3 years ago
Which of these choices show a pair of equivalent expressions? A.7^5/7 and (√ 7)^5 B.6^7/2 and (√ 6)^7 C.(4√ 81)^7 and 81^7/4 D.5
OverLord2011 [107]
We will use the following law of indices (or 'index law') to check each pair of expression

x^{ \frac{m}{n}} = ( \sqrt[n]{x} )^{m}

With fractional power, the denominator is the root and the numerator is the power of the term. When the denominator is 2, we usually only write the normal square symbol (√). Denominator other than 2, we usually write the value of the root, for example, the cubic root ∛

Option A - Incorrect
7^{ \frac{5}{7}} should equal to ( \sqrt[7]{7} )^{5}

Option B - Correct
6^{ \frac{7}{2} } does equal to ( \sqrt{6}) ^{7}

Option C - Incorrect
4( \sqrt{81} )^{7} should equal to (4)( 81^{ \frac{7}{2} } )

Option D - Incorrect
5^{ \frac{2}{3} } should equal to ( \sqrt[3]{5} )^{2}
7 0
2 years ago
Read 2 more answers
Work out:<br> 2/3p - 3/4 = 0.2
weqwewe [10]

Answer:

2/3p - 3/4 = 2/10

2/3p = 38/40

p = 57/40 = 1 17/40

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio. She sold a th
Licemer1 [7]

Given :

Rema purchased 18 ounces of gold in 2005 for $414 per ounce in order to try to diversify her investment portfolio.

She sold a third of her holdings in gold in 2009 at a price $953 per ounce. She sold the rest of her gold holdings in 2010 for $1,367 per ounce.

To Find :

What is Prema’s profit in 2009 and 2010.

Solution :

Price of one third ounces of gold, in 2005 is :

P = $414/3 = $138 .

Profit from selling them in 2009 is :

P1 = $(953 - 138) = $815 .

Profit from selling them in 2010 is :

P2 = $( 1367 - ( 414 - 138 ) ) = $1091 .

Therefore, Prema's profit in 2009 is $815 and 2010 is $1091.

Hence, this is the required solution.

5 0
2 years ago
A box is filled with 10 brown cards , 4 yellow cards, and 4 red cards. A card is chosen at random from the box. What is the prob
Setler [38]
The answer is 2/9

explanation:
10+4+4= 18 cards in the box
and there are 4 red cards in the box, so it’s 4/18. u divide both sides by 2, which gives u the simplest version, 2/9.
5 0
3 years ago
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