1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crazy boy [7]
4 years ago
11

1/ 3 (y+7)=3(y−1) help me

Mathematics
1 answer:
Alex_Xolod [135]4 years ago
5 0

Answer:

y=2

Step-by-step explanation:

1/3(y+7)=3(y-1)

1) Distribute 1/3 to y+7, and distribute 3 to y-1:

1/3y+7/3=3y-3

2) Add 3 to both sides:

1/3y+16/3=3y

3) Subtract 1/3y from both sides:

16/3=8/3y

4) Multiply both sides by the reciprocal of 8/3: (3/8)

y= 48/24

5) Simplify:

y=2

You might be interested in
A bag of marbles contains 4 red
marissa [1.9K]
The answer is 7/8!!!!!!
6 0
3 years ago
ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

brainly.com/question/14327552

3 0
3 years ago
Factor completely 20x^3y + 30x^2y^2.
weqwewe [10]

Answer:

10x^2 y(2x + 3y)

Step-by-step explanation:

20x^3 y + 30x^2 y^2.

Factor 10x^2y out of 20x^3y.

10x^2 y (2x) + 30x^2 y^2  

Factor 10x^2y out of 30x^2y^2.

10x^2 y (2x) + 10x^2 y (3y)  

Factor 10x^2y out of 10x^2 y (2x) + 10x^2 y (3y).

10x^2 y(2x + 3y)

you factor out 10x^2y from both side which you will then get 10x^2 y (2x) + 10x^2 y (3y)  than you factor out 10x^2y again and get 10x^2 y(2x + 3y)  your third option

6 0
3 years ago
If 2(x + 3) + 7x = 3(x - 2) - 9, then x = ?
Fudgin [204]

Answer:

x=− 7 over 2 =−3.500

Hope this helps!

5 0
4 years ago
Read 2 more answers
Solve –2x2 +3x – 9 = 0. (solving quadratic equation with complex numbers)..
goldfiish [28.3K]
-3+-sqrt9-56/-4
-3+-sqrt-47/-4
-3+-sqrt47i/-4

4 0
4 years ago
Other questions:
  • PLEASE HELP
    11·1 answer
  • Fiona spent $13.70 to travel across the city in a taxi. It cost her $3.25 to get the taxi and $2.75 each mile she traveled. Writ
    12·2 answers
  • cyclists were 3/5 finished with their ride when they reached the 15 kilometer mark how long was the ride
    5·2 answers
  • Plz help. im not good with polynomials or factoring..
    5·1 answer
  • Whatistheslopeofthegraphofy
    7·1 answer
  • X is a random independent variable with mean 20 and standard deviation of 5. Also suppose that y is a random independent variabl
    15·1 answer
  • Which of the following statements is true for this distribution? (No calculations are required to answer this question.)
    14·1 answer
  • Sara and Sage are making hot cocoa. The tables below show the recipes each one used. Which recipe has the strongest chocolate fl
    15·2 answers
  • A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina
    14·1 answer
  • Find the sum of difference
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!