MATHEMATICS MIDDLE SCHOOL

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 1
Answer:

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.
Answer 2
Answer:

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

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Answers

a way to write numbers by adding the value of its digits. 
for example =1,000 + 900 + 70 + 1 =1,971

i hope this helps you and pls dont report me for wrong answer
expanded form can be like addition.here is an example : 9876 = 9000+800+70+6 hope that holds

Someone help me with this question please

Answers

Create a real world equality problem, then solve:

Example Problem:

Ana sells at least  220  shirts:

Ana  Sold  85  shirts  in the first  3 weeks  of the month:

How many shirts must Ana sell in the last week of the month?



Solution:

Let   S   =    the number  of  shirts Ana sells in the last week of the month.

Total Number  of Shirts  for the month must be greater than 220:

We Write:     85     +     S      ≥     220

We   Solve the inequality by Subtracting  85  from both sides:   S    ≥    135

Therefore,  Ana must sell  135  or more shirts in the last week to go on the school trip.


Solve:   85     +     s      ≥       220    ========>     S     ≥    135

Let's solve your inequality step-by-step.

85     +     s      ≥       220

Step 1: Simplify both sides of the inequality.

s     +     85      ≥        220

Step 2: Subtract 85 from both sides.

s    +     85      −     85      ≥     220   −   85

s     ≥      135

Answer:

s     ≥     135




Check Problem:

85     +     s      ≥       220    ========>     S     ≥    135

We see that =====>   85     +     135     =    220

If Ana sells 135, or more shirts, The total number of shirts she sells that month will be  220  or more  ========>   Answer  Checked




Hope that helps!!!!!!!!!!!                                     : )

80 into a ratio of 3:2

Answers

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A flight attendant has a hand cart in the shape of a rectangular prism that is filled with boxed snacks. The hand cart has a volume of 70/3ft cubed. Each snack box is in the shape of a cube with an edge length of 1/3 ft. How many snack boxes could fit in the hand cart?

Answers

The correct answer for the question that is being presented above is this one: "630 snack boxes."

The volume of the container box is 70/3 ft^3.
The dimension of the small cube is 1/3 ft. So we need to get the volume of the small box.
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Answers

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Answers

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