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Andrei [34K]
3 years ago
13

Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at lea

st 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

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erica [24]

Answer:

<h2>x = 12</h2>

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

\dfrac{AD}{DC}=\dfrac{DC}{DB}

We have AD = 16, DC = x, DB = 9. Substitute:

\dfrac{16}{x}=\dfrac{x}{9}            <em>cross multiply</em>

x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12

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The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.
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3 years ago
How do I figure out b,c, and d
Andrews [41]

Answer:

  (b)  domain: (-∞, ∞)

  (c)  f(x) = 3 only at x=1

  (d)  range: (-∞, 3]

Step-by-step explanation:

(b) The domain is the horizontal extent of the region over which the function is defined. The function f(x) is defined for all x, from -∞ to +∞. The arrowheads on the ends of the graph mean the graph extends to infinity in x and y directions from those points (y goes to -∞, while x goes to ±∞).

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(c) Locate the horizontal grid line y=3 on the graph. Find all the points where it intersects the graph. There is only one: (1, 3). That is, x=1 is the only x-value for which f(x) = 3.

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8 0
3 years ago
Read 2 more answers
Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220
Doss [256]

Answer:

1,000 km

Step-by-step explanation:

Assume that when two train pass each other, Lian has traveled x (km)

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As Lian and Yuto travelled from the two opposite train stations and the train stations are 1,880 km apart

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=> The time Yuto has traveled when two trains pass each other is:

<em>Time = Distance/ Rate = (1,880 - x)/220 (hour)</em>

As Lian and Yuto board at the same time, so that when two trains pass each other, the time both of them have traveled is equal

=> <em>x/ 250 = (1,880 - x)/220</em>

<em>=> 220x = 250 x (1,880 -x) </em>

<em>=> 220x = 470,000 - 250x</em>

<em>=> 470x = 470,000</em>

<em>=> x = 1,000</em>

<em />

<em>So that, </em>when two train pass each other, Lian has traveled x = 1,000 km

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