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Burka [1]
3 years ago
9

Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step

s below. What was Jada’s error?
Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction
Negative StartFraction 4 over 9 EndFraction (Negative StartFraction 9 over 4 EndFraction) = StartFraction x over 108 EndFraction (Negative StartFraction 9 over 4 EndFraction)
x = negative StartFraction 1 over 48 EndFraction

Jada should have multiplied both sides of the equation by 108.
Jada should have multiplied both sides of the equation by Negative StartFraction 4 over 9 EndFraction.
The product of Negative StartFraction 9 over 4 EndFraction and StartFraction 1 over 108 EndFraction is not equal to Negative StartFraction 1 over 48 EndFraction.
The product of Negative StartFraction 9 over 4 EndFraction and 108 should have been the value of x.
Mark this and return

Mathematics
2 answers:
zavuch27 [327]3 years ago
6 0

Answer:first option

Step-by-step explanation:

I taked test

Lilit [14]3 years ago
3 0

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

If\ a=b\ then\ a*c=b*c

In this case, the equation that Jada had is the folllowing:

-\frac{4}{9}=\frac{x}{108}

Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

(108)(-\frac{4}{9})=(\frac{x}{108})(108)\\\\-48=x

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by -\frac{4}{9}<em>  </em>and the right side by -\frac{9}{4}.

Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.

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The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast S
Goshia [24]

Solution :

a).

Given :

R = 0.636, $S_x = 99$, $S_y=113, M_x=108, M_y=129$

Here R = correlation between the two variables

        $S_x , S_y$ =  sample standard deviations of the distance and travel time between the two train stops, respectively.

      $M_x, M_y$ = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, b_1  $=R \times \left(\frac{S_y}{S_x}\right)$

                            $=0.636 \times \left(\frac{113}{99}\right)$

                            = 0.726

Therefore, the slope of the regression line b_1 is 0.726

The equation of the regression line is given by :

$\overline {y} = b_0+b_1 \overline x$

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line $b_0$ is given by :

$b_0=M_y-(b_1 \times M_x)$

  = 129 - (0.726 x 108)

  = 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b).\text{ The slope of the line predicts that it will require 0.726 minutes} for each additional mile travelled.

The intercept of the line, $b_0$ = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because  it seems we have travelled zero  distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). $R^2=0.404$

This means that the model accounts for around 40.4% variation in the travel time.

3 0
3 years ago
The dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
nata0808 [166]

Answer:

B. 192.5 ft³

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(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

4 0
3 years ago
Read 2 more answers
Can anyone help me??
Tasya [4]

Your in luck! I was just learning these percent things today 'xD but Not in luck at the same time. I will answer the 2 questions that's the most I can do.

1. $17.50 with a 7% sales tax

Answer: 17.50 times .07 equals 1.23  

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Answer: 21.95+4.25=26.20


Hope this helps!! :D this took me a while to figure out and used a bit of my time. So I hope the time was worth it! :)

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steposvetlana [31]

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Then, you must simplify both sides of the equation.

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Next, subtract 3x on both sides.

2x+2=42

Then, subtract 2 on each side.

2x=40

Next, divide 2 on each side.

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I need a picture in order to help

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