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
mina [271]
3 years ago
14

What property justifies that 6x+9/3 =2x + 3? (see the pic of how the fraction is)

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

C. Distributive property

Step-by-step explanation:

Distributive property says that

a\cdot (b+c)=a\cdot b+a\cdot c

Consider left part of the expression

\dfrac{6x+9}{3}=\dfrac{1}{3}\cdot (6x+9)

By distibutive property,

\dfrac{1}{3}\cdot (6x+9)\\ \\=\dfrac{1}{3}\cdot 6x+\dfrac{1}{3}\cdot 9\\ \\=2x+3

You might be interested in
Determine the missing side of the square.
Gekata [30.6K]

Answer:

The missing side is 9cm.

How I got my answer:

1. Squares have equal sides.

2. The area is 81cm^2, so we have to divide 81 by 9.

81 : 9 = 9cm.

4 0
3 years ago
Read 2 more answers
Click on the volume of this rectangular prism.
gtnhenbr [62]

Answer: 192 cubic inches

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
AveGali [126]

Answer:

He has to pay 15% as that is 32 and more than $25

Step-by-step explanation:

If you take 15% out of 216 it will become 32.

3 0
3 years ago
Read 2 more answers
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
lapo4ka [179]

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

  • 9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 1020
  • 9900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 1068
  • 12,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,180
  • 11400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 1148
  • 10800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 1116
  • 11160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.2
  • 11190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.8
  • 11250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140

Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in brainly.com/question/10250387

7 0
2 years ago
The figure shows △ABC . BD is the angle bisector of ∠ABC .
Misha Larkins [42]
From angle bisector theorem, we know that:

\dfrac{|AD|}{|DC|}=\dfrac{|BA|}{|BC|}\\\\\\\dfrac{|AD|}{|DC|}=\dfrac{8}{10}=\dfrac{4}{5}

Moreover:

|AD|+|DC|=6

so:

|DC|=6-|AD|

and

\dfrac{|AD|}{|DC|}=\dfrac{4}{5}\\\\\\\dfrac{|AD|}{6-|AD|}=\dfrac{4}{5}\qquad\qquad\text{cross multiplying}\\\\\\ 5\cdot|AD|=4\cdot\big(6-|AD|\big)\\\\5\cdot|AD|=24-4\cdot|AD|\\\\5\cdot|AD|+4\cdot|AD|=24\\\\9\cdot|AD|=24\qquad|:9\\\\\\|AD|=\dfrac{24}{9}=\boxed{\dfrac{8}{3}}

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of 7.92 × 1010?<br><br> 79,200,000,000<br> 7, 920<br> 0.0000792
    13·1 answer
  • When a trend line is drawn on a scatterplot, there are 4 points above the trend line. About how many points should be below the
    12·1 answer
  • 5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical s
    6·2 answers
  • What is the domain for 5x+3y=2
    7·2 answers
  • Which pair of numbers is relatively prime? A. 49 and 770 B. 96 and 105 C. 101 and 145 D. 450 and 741 was thinking d is the close
    5·1 answer
  • Iliana wants to find the perimeter of triangle ABC. She uses the distance formula to determine the length of AB. Finish Iliana’s
    12·2 answers
  • Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple co
    13·1 answer
  • Find the quotient<br> 960 = 18
    8·2 answers
  • How can you solve y=-2x+20 by substitution?
    7·1 answer
  • Which is not a step in finding the scale factor of dilation
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!