Which linear equation represents a non-proportional relationship?A) y = 0.2x. B) y = 1/2x, C) y = −1/2x, y = −1/2x + 5

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

That would be the last option

y = -1/2x + 5


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Convert the mixed number to an improper fraction. 4 7/8

A.11/8


B.19/8


C.28/8


D.39/8

Answers

4 7/8=(4*8+7)/8=(32+7)/8=39/8 ⇒ D
8*4+7=\boxed{ (39)/(8)}

Fay travels 56 kilometers in 8 hours.How many kilometers will she travel in a day?

Answers

There are 24 hours in a day. 8 hours x 3 = 24 hours.

56 kilometres x 3 = 168 kilometres

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If Fay continues to travel at this current speed without stopping, she will end up travelling a distance of 168 kilometres in a day.
She would travel 7 kilometers in one day because 56/8=7

$700 at 8% for 6 years

Answers

it could mean
1. simple interest
2. compound interest


1.simple interest
 so just 8% of that 700 is added on
find 8% of 700
8% of 700=0.08 times 700=0.56
6 years=0.56 times 6=3.36
add
3.36+700=703.36

2. compound  interst

that means the each year, it gives you 8% on that new thing
so
8%=0.08
so each year, it is multiplied by 1.08 since you add the original (1) to the 8% 0.08
so
6 years means
700 times 1.08^6=700 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08 times 1.08=1110.81


answers are
if simple interest=$703.36
if compound interst=$1110.81

Final answer:

The question is about calculating simple interest. Given an initial amount, a rate of interest, and a time period, we use the formula I=PRT to determine that investing $700 at 8% for 6 years would earn $336 in interest.

Explanation:

Your question is related to the mathematical concept called Simple Interest. Simple interest is calculated using the formula I = PRT, where 'I' is the interest, 'P' is the principal amount (or the initial amount of money), 'R' is the rate of interest per year as a decimal, and 'T' is the time period (in years).

Let's break down the given information: Principal (P) = $700, Rate (R) = 8% or 0.08 and Time (T) = 6 years.

Now, we plug this into our Simple Interest formula: I = 700*0.08*6.

After calculating, we get the interest to be $336. This means, if you invest $700 at an interest rate of 8% for a period of 6 years, the interest earned will be $336.

Learn more about Simple Interest here:

brainly.com/question/40405117

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Marna is playing a game where you score -5 points each time you guess the correct answer. the goal is to get the lowest score. to win the game, marna must have a score of less than -80 points. how many correct answers does mama need to win the game?create an inequality for this

Answers

Answer: Marna has to answer more than 16 answers to win the game.


Step-by-step explanation:

Le 'x' be the number of correct answers.

If Marna is getting -5 points each time she guess the correct answer.

Then the total points she get after x correct answers= -5x

If to win the game, Marna  must have a score of less than -80 points.

-5x<-80

If we multiply (-1) on both sides the inequality will reverse

5x>80

Divide both sides by 5, we get

x>16

Marna has to answer more than 16 answers to win the game.


How do you simplify 3:9:15:24

Answers

All of those numbers have a common factor, which is 3. So you divide all of their values by 3.

3:9:15:24
=1:3:5:8

Because the values cannot be divided anymore, this ratio is in it's simplest form.

Equation through (-1,4) and perpendicular to 3y=2x-1

Answers

Answer:

The equation of line perpendicular to given line and passes through points  ( - 1 , 4 ) is 2y = -3x + 5

Step-by-step explanation:

Given line equation as :

3 y = 2 x - 1

Or, y = (2)/(3) x -  (1)/(3)

So ,  The equation is in the form of y = m x + c

Where m is the slope of the line

∴ satisfying the condition

Slope of given line is  m = (2)/(3)

Now , ∵ The other line is perpendicular to this line and passes through point    ( - 1 , 4 )

Let , Slope of other line  = M  

∴ for perpendicular line condition , products of the slope = - 1

I.e m × M = - 1

Or , M = - (1)/(m)

Or   M = - (1)/((2)/(3))

Or   M =  - (3)/(2)

Thus The equation of line with slope M and passing through points  ( - 1 , 4 ) is

y-y_1 = M (x-x_1)

or, y-4 = - [tex](3)/(2)   (x + 1)[/tex]

or, 2y - 8 = - 3 (x +1)

Or, 2y - 8 = - 3x - 3

or   2y = - 3x - 3 + 8

  2y = -3x + 5

Hence The equation of line perpendicular to given line and passes through points  ( - 1 , 4 ) is 2y = -3x + 5  Answer