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schepotkina [342]
3 years ago
9

On the road trip, the speed limit changed to 50 miles per hour in a construction zone. Traffic moved along at a constant rate (5

0 mph), and it took me 15 minutes (0.25 hours) to get through the zone. What was the distance of the construction zone? (Round your response to the nearest hundredth of a mile.)
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

Answer:

d= 12.50 miles

Step-by-step explanation:

Kinematic equation of uniform motion (constant speed) :

v= d/t  Formula (1)

v: velocity in miles per hour (mph)

d: distance in miles

t: time in hours

Data

v= 50 mph

t= 0.25 hours

Problem development

We replace data in formula (1)

50 mph=d/0.25 hour

50 \frac{miles}{hour} = \frac{d}{0.25 hour}

d= 50\frac{miles}{hour} *0.25 hour

d= 12.5 miles

d= 12.50 miles

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Find the slope of the line that passes through G(−3, 2) and H(7, 2).
Svetllana [295]

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b  

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

Hope this helps!

7 0
2 years ago
Read 2 more answers
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
777dan777 [17]

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

(20x + 381) / (20x + 108) = 703/444

444 (20x + 381) = 703 (20x + 108)

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18          (ANSWER)</span>

6 0
3 years ago
The greatest amount of rainfall is times as great as the least amount of rainfall
navik [9.2K]

Answer:

16 times

Step-by-step explanation:

The question is basically asking :

<em>what number multiplied with the least amount would give me the greatest amount??</em>

<em />

<em>Let that number be x, so we can say:</em>

<em>least amount * x = greatest amount</em>

<em />

From the plot, we can see that least amount is 1/8 inches

The greatest amount is 2 inches

Now we can put it into the formula and find x:

1/8 * x = 2

x = 2/(1/8)

x = 16

5 0
3 years ago
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(3, 2) and 3-2)<br> Find the slope of the line through each pair
goldenfox [79]

Answer:

<em>m</em> = undef

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, 2)

Point (3, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-2-2}{3-3}
  2. Subtract:                       m=\frac{-4}{0}
  3. Simplify:                        <em>m</em> = undef
6 0
3 years ago
Five times the sum of three times a number and 4 is -10, find the number.
Minchanka [31]

Answer:

-2

Step-by-step explanation:

5[3x+4)]=-10

15x+20= -10

15x=-30

x= -2

5 0
3 years ago
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