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nexus9112 [7]
3 years ago
8

Ms. Sims traveled to 42 countries in 60 days. At this rate, how many countries

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer: 28

Step-by-step explanation:

The first step to solve this problem is to figure out how many countries per day ms. Sims travels. Do this by dividing 42 by 60. If the division sign is a “per” symbol she would travel 42 every 60 days.

42/60 is 0.7

So she travels 0.7 countries per day.

Multiplied by 40 days (40 times 0.7) is 28. 28 countries per 40 days

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Step-by-step explanation:

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3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
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<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

        y - intercept = (0, 1)            2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\

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<em>see attached</em> - the graphs intersect at two points:  (-2, 5) and (2, -3)


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