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8090 [49]
2 years ago
5

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25

= 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3:negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Group of answer choices Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.
Mathematics
1 answer:
Fofino [41]2 years ago
5 0

Answer:

x = -20.6

Step-by-step explanation:

Step 1: −5x − 25 − 25 = 78 − 25

Should be

Step 1: -5x-25+25=78+25

Step 2: -5x=103

Step 3: Divide both sides by -5: x = -20.6

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Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20
Naily [24]

Answer:

\displaystyle y = x^{-\frac{2}{3}}

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. \log(pq)=\log p+\log q

2. \displaystyle \log_pq=\frac{1}{\log_qp}

3. \displaystyle \log p^q=q\log p

We are given the equation:

\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }

Applying the second property:

\displaystyle  \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}

Substituting:

\displaystyle \log_{2}(x) = 3\log_{2}(xy)

Applying the first property:

\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))

Operating:

\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)

Rearranging:

\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)

Simplifying:

\displaystyle -2\log_{2}(x) =3\log_{2}(y)

Dividing by 3:

\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}

Applying the third property:

\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)

Applying inverse logs:

\boxed{y = x^{-\frac{2}{3}}}

7 0
3 years ago
Ella has 425 more bracelets to sell. She wants to
umka2103 [35]

Answer:

I disagree . I don’t agree because if you have 25 bags with 20 braclets in each then you would just waste So many bags because you can fit 500 bracelets in those bags all together.

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

4 0
3 years ago
Read 2 more answers
How do you solve this problem, ive been working for hours and just cant seem to get it. Help is very much aprrecieated.
zvonat [6]

Answer:

which would be 1 third times 3.14 times 6 squared times 33

Step-by-step explanation:

okay so your dealing with a cone and a hemisphere. so what you would do is the cone equation is \frac{1}{3} multiplied by \pi multiplied by the radius squared times the height so what u would o is plug in the things you know .

7 0
3 years ago
There are 84 jars of jelly on a shelf at the store. Of these, 21 are grape. What percent of the jars of jelly are grape?​
Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

Start by dividing 84 by 4 and you get 21. Then take 100 and divide that number by 4, and you get 25. There is your answer. The 21 jars of grape jelly are equal to 25% of the number 84. Hope this helps!

5 0
2 years ago
Which of the following describes the dimensions of a backyard?
emmainna [20.7K]

Answer:

the lengths of the sides of the yard.

Step-by-step explanation:

8 0
2 years ago
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