MATHEMATICS MIDDLE SCHOOL

Which expression is equivalent to 3 (5r + 2/3s +3t) +9s? A. 15r11s + 9t
B. 15r+ 18s + 9t
C. 15r2s 9t
D. 15r+29s + 9t​

Answers

Answer 1
Answer:

Answer: A) 15r + 11s + 9t

Step-by-step explanation:

What is distribution?

Distribution is when you multiply a number outside a set of parenthesis by everything within that parenthesis to simplify a mathematical equation.

Let's write down the original equation:

3 (5r +(2)/(3) s +3t) + 9s

To distribute, multiply every number within the parenthesis by 3:

  • 3 × 5 = 15 ⇒ 15r
  • 3 × (2)/(3) = 2 ⇒ 2s
  • 3 × 3 =9 ⇒9t

Now you have a new equation:

                      15r + 2s + 9t + 9s

Combine like terms [ 2s + 9s] and you are left with the equation:

*learn more about like terms here: brainly.com/question/480769?referrer=searchResults*

                                       15r + 11s + 9t  
Answer 2
Answer:

Answer: hope this helps ♡

A. 15r + 11s + 9t

Step-by-step explanation:

3 (5r + 2/3s +3t) +9s

= 15r + 2s + 9t + 9s       (3/1 * 2/3 the 3 cancel out each other and ur left w 2)

= 15r + 11s + 9t

So the answer is: A. 15r + 11s + 9t

Related Questions

One-third of the results of three times a number that is increased by 12.
How do you work out the problem 84 divided by4
find the interest earned on an account with $450 principal, and interest rate of 6% over a period of 8 years
Tony wants to buy an Ipod for $59.99 with a discount of 15 %and a sales tax of 7.5%. What is the total price of the Ipod? Being timed fast
The expression 5,430,900 is written in standard notation. True or False?I believe its true but I don't really know..

PLEASE HELP ASAP I NEED THIS NOW Sara graphs a line passing through points that represent a proportional relationship. Which set of points could be on the line that Sara graphs?A). (2,4),(0,2),(3,9)
B). (6,8),(0,0),(18,24)
C). (3,6),(4,8),(9,4)
D). (1,1),(2,1),(3,3)​

Answers

Answer: Option B.

Step-by-step explanation:

By definition, the graph of a proportional relationships is a straight line that passes through the origin (Remember the the origin is at (0,0)).

Then, the equation have the following form:

y=kx

Where "k" is the constant of proportionality (or its slope)

Then, since the Sara graphs a line that represent a proportional relationship, you can conclude that the line must pass through the point (0,0).

Then:

The set of points in Option A could not be on that line, because when x=0,y=2

The set of points (6,8),(0,0),(18,24) (Given in Option B) could be on the line that Sara graphs, because it has the point (0,0)

For the set of points shown in Option C and Option D, you can check if the slope is constant:

C)\ slope=(y)/(x)\n\na)\ slope=(6)/(3)=2\n\nb)\ slope=(8)/(4)=2\n\nc)\ slope=(4)/(9)

Since the slope is not constant, this set of ponts could not be on the line.

 D)\ slope=(y)/(x)\n\na)\ slope=(1)/(1)=1\n\nb)\ slope=(1)/(2)

 Since the slope is not constant, this set of ponts could not be on the line.

Set of points that could be on the line that Sara graphs are:

Option B). (6,8) , (0,0) , (18,24)

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed{m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed{y - y_1 = m ( x - x_1 )}}

Let us tackle the problem.

\texttt{ }

This problem is about Directly Proportional.

If (x₁ , y₁ ) and (x₂ , y₂) are on the line that represent a proportional relationship, then :

\large {\boxed { y_1 : x_1 = y_2 : x_2 } }

Option A

Let:

(2,4) ⇒ (x₁ , y₁)

(3,9) ⇒ (x₂ , y₂)

4 : 2 \ne 9 : 3

2 : 1 \ne 3 : 1

2 \ne 3 → not proportional

\texttt{ }

Option B

Let:

(6,8) ⇒ (x₁ , y₁)

(18,24) ⇒ (x₂ , y₂)

8 : 6 = 24 : 18

4 : 3 = 4 : 3 → proportional

\texttt{ }

Option C

Let:

(3,6) ⇒ (x₁ , y₁)

(9,4) ⇒ (x₂ , y₂)

6 : 3 \ne 4 : 9

3 : 1 \ne 4 : 9 → not proportional

\texttt{ }

Option D

Let:

(1,1) ⇒ (x₁ , y₁)

(2,1) ⇒ (x₂ , y₂)

1 : 1 \ne 1 : 2 → not proportional

\texttt{ }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

#LearnWithBrainly

19. GEOMETRY Write and simplify an expression to represent the perimeter ofthe triangle shown. Then find the value of x if the perimeter is 45 feet.​

Answers

Answer:

x=7

Step-by-step explanation:

x+4 + 2x1+3x-2  =45

6x+3 =45

6x=42

x=7

7+4 = 11

14+1=15

21-2=19

11+15+19 = 45

The blank of a two dimensional figure can be any side?

Answers

The "Length" of a two-dimensional figure can be any side.

What is the length?

length is the measure of some distance from one end to another end.

The side is a distance between two vertexes joined with another part of the dimension.

We can measure that distance which means it could be a length.

Thus, The blank could be; Length of a two-dimensional figure can be any side.

Learn more about length;

brainly.com/question/8552546

#SPJ3

Answer:

yea

Step-by-step explanation:

may runs 10/4 miles everyday after school. Beth says that she runs farther than May every day because she runs 5/2 miles everyday after school. is her statement correct

Answers

yes her statement is correct i think well maybe it is because if you cut 3 rectangles in to 2 than you color in 5 and stop and draw a rectangle with 4 in 3 rectangles and color in 10 and the two has less shaded in so the one who ran more was beth cause if you put it into a mixed number it is 2 and 1/2 and May's mixed number is 2 and 2/4 and the dinominator 2 is greater than the dinominator 4 cause 2 has bigger pices and 4 has smaller pices

A basketball team scored 60 points in the firstgame and 50 points in the second game. How
many points did the team score in the third
game if their mean score for the 3 games was
51 points?

Answers

The answer should be 43
51 x 3 = 153
153-60-50=43

Answer:

43

Step-by-step explanation:

15^1/5 rewrite in radical form

Answers

Answer:

\sqrt[5]{15}

Step-by-step explanation:

A number to 1/5 is the \sqrt[5]{n}

A number to 1/3 is the \sqrt[3]{n}

So, since the number is 15 to the 1/5, it is \sqrt[5]{15}

Answer:  \sqrt[5]{15}

Answer:

15^{(1)/(5) } = \sqrt[5]{15}

Step-by-step explanation:

recall that

a^{(1)/(b) } = \sqrt[b]{a}

if we apply this to our case,

15^{(1)/(5) } = \sqrt[5]{15}
Other Questions
Help on 10b...Don’t understand how to make a function with inconsistent points.
What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet
Tonya took out a loan to help pay for her house. She borrowed $40,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank? A. $300 B. $30,000 C. $6,000 D. $300,000
What is 75.36 rounded to the nearest cubic unit