MATHEMATICS MIDDLE SCHOOL

Divide 5/3 by 1/4


A.3/20
B.5/12
C.4/9
D. 2 2/5

Answers

Answer 1
Answer: We flip the 2nd fraction and multiply.

5/3 * 4/1 = (5 * 4)/(3 * 1) = 20/3 = 6 2/3

So the correct choice should be 'none of the above' unless you made a mistake in your question.
Answer 2
Answer: (5)/(3):(1)/(4)=(5)/(3)\cdot(4)/(1)=(5\cdot4)/(3\cdot1)=(20)/(3)=(18+2)/(3)=\boxed{6(2)/(3)}\n\nfrom\ comment:\n\n(3)/(5):(1)/(4)=(3)/(5)\cdot(4)/(1)=(3\cdot4)/(5\cdot1)=(12)/(5)=(10+2)/(5)=\boxed{2(2)/(5)}\leftarrow answer\ \boxed{\boxed{D}}

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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

What is the least number that has 4 odd factors that are all the same? Each factor is greater than 1 and can have only 1 itself as factors

Answers

I'm not quite sure what you mean.
the factors can't be 1.
the factors have to be odd.
they have to be the same.
offhand i would say 3*3*3*3 would be equal to 9*9 = 81.
the number 81 has 4 odd factors that are all the same.
can't be 1 because 1 doesn't counts as a factor.
a prime number has 2 factors.
1 and itself.
every number has a factor of 1 and itself.

Find the least common multiple (LCM) of 8 and 10.A. 10
B. 18
C. 40
D. 80

Answers

The lcm of these two give numbers is 40
Option C

Answer:

The answer is C

Step-by-step explanation:

the least common multiple is the smallest number that you get when you multiple the two numbers together.Then it is divided by the least commom factor which is the smallest number that can go into both numbers.

Two increased by the product of a number and 9 is greater than or equal to 25.

Answers

Answer:

x≥2.56

Step-by-step explanation:

first we can write the inequality

2+9x≥25

we can now solve this with algebra

9x≥23

x≥2.56

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Answers

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Answers

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