Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. How many miles of trail does ammar hike per hour?

1 answer:

3 0

Ammar hikes 2.75 miles in 75 minutes so he hikes 2.75 miles in 1.25 hours. If you divide 2.75 by 1.25, you find his rate per hour: 2.2 miles per hour.

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what is the slope of a line perpendicular to the line whose equation is 5x+6y=42. fully reduce your answer

oksian1 [2.3K]

Answer:

the slope of the line that is perpendicular to the given line is $\frac{6}{5}$

Step-by-step explanation:

As the slope intercept form is

$y=mx+b$

Where

m is the slope
b is the y-intercept

Considering the equation

$5x+6y=42$

$\mathrm{Slope-Intercept\:form\:of}\:5x+6y=42:\quad y=-\frac{5}{6}x+7$

$\mathrm{Slope\:of\:}-\frac{5}{6}x+7:\quad m=-\frac{5}{6}$

As we know that perpendicular lines have negative reciprocal slopes.

So,

$-\frac{1}{-\frac{5}{6}}=\frac{6}{5}$

Hence, the slope of the line that is perpendicular to the given line is $\frac{6}{5}$

Keywords: slope, slope of a line, equation

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Suppose there are 6 runners in the finals of a 100 m sprint, Abbie, Becca, Clarice, Danna, Emma, and Francine. Answer each of th

riadik2000 [5.3K]

Step-by-step explanation:

1. Abbie's chance to place first is 12÷100 = 0.12 $12÷100 = 0.12$

and Becca's chance to place second is 8÷100= 0.08 $8÷100= 0.08$

We can determine the probability that Abbie will place first and Becca will place second because ., Abbie gets more chance than Becca (0.12 -0.08 =0.04) to get first place

2. Danna's chance to place first is P(A) = 48÷100 = 0.48 $48÷100 = 0.48$