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3 years ago

5

Mr Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. What is the average change in the speed

each second?

1 answer:

Allisa [31]3 years ago

4 0

Divide 30 by 10. 30mph/10seconds = 3mph/seconds

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Solving Rational equations. LCD method. Show work. Image attached.

Dmitry [639]

Answer:

$b=1$

Step-by-step explanation:

The given rational equation is

$\frac{2b-5}{b-2} -2=\frac{3}{b+2}$

The Least Common Denominator is $(b+2)(b-2)$ .

Multiply each term in the equation by the LCD.

$(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}$

Simplify;

$(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}$

$(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)$

Expand and group similar terms

$2b^2-5b+4b-10 -2(b^2-4)=3b-6$

$2b^2-5b+4b-10 -2b^2+8=3b-6$

$-b-2=3b-6$

$3b+b=-2+6$

$4b=4$

$b=1$

3 0

3 years ago

Write the equation of this line in Point-Slope Form.

Leona [35]

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

5 0

3 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

serg [7]

Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

Number of travelers who favor tight security, x = 370

$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$

92% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.08} = \pm 1.645$

Putting the values, we get:

$0.74\pm 1.645(\sqrt{\dfrac{0.74(1-0.74)}{500}}) = 0.74\pm 0.0322\\\\=(0.7078,0.7722)$

3 0

4 years ago

Hellppp meeeeeee PLEASEEEEE :!$:$:

Leni [432]

Answer:

78

Step-by-step explanation:

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3 years ago

Read 2 more answers

What does is equivalent to 3 5/6?

Vesnalui [34]

Answer:

equivalent fractions of 3/5 are 6/10, 9/15 and 12/20.

Step-by-step explanation:

hope this helped! have a good day<3

6 0

3 years ago