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dimulka [17.4K]
3 years ago
6

a construction crew built 4 1/2 miles of Road and 3 3/8 days. What is the unit rate in miles per day? Write your answer as a fra

ction or mixed number in simplest form.
Mathematics
1 answer:
sineoko [7]3 years ago
5 0

The construction crew took 3\frac{3}{8} days to build 4\frac{1}{2} miles of road.

Therefore, in 1 day, the crew built \frac{4\frac{1}{2} }{3\frac{3}{8} } miles of road

= \frac{\frac{9}{2} }{\frac{27}{8} } =\frac{9}{2}times\frac{8}{27}=\frac{4}{3} miles of road

Thus, the required rate is \frac{4}{3} miles or 1\frac{1}{3} miles per day.

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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
masya89 [10]

The correct answer is A, as the DVD player's price was reduced by $ 3.82 more than the stereo tuner's price.

In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store, and he marked down DVD players by 36%, and he marked down stereo tuners by 22%, if DVD Players cost $ 41.60 after the markdown and stereo tuners cost $ 69.42 after the markdown.

To determine which item's price was reduced by more, and by how many dollars more was it reduced, the following calculation must be performed:

  • 100 - 36 = 64
  • 64 = 41.60
  • 100 = X
  • 100 x 41.60 / 64 = X
  • 4160/64 = X
  • 65 = X
  • 65 - 41.60 = 23.40

  • 100 - 22 = 78
  • 78 = 69.42
  • 100 = X
  • 69.42 x 100/78 = X
  • 6942/78 = X
  • 89 = X
  • 89 - 69.42 = 19.58

Therefore, the DVD player's price was reduced by $ 3.82 more than the stereo tuner's price.

Learn more about maths in brainly.com/question/18629331

4 0
2 years ago
Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).
Dmitry_Shevchenko [17]

Answer:

-17

Step-by-step explanation:

8x -2y= 12

<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>

4x -y= 6

<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

7 0
2 years ago
Please factor this problem x^2+7x-8
oksian1 [2.3K]
(x+8)(x-1)

Check:
8-1=7
8*-1=-8
5 0
3 years ago
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Lady_Fox [76]

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

6 0
3 years ago
Austin is paid a salary of $475 weekly. Find the Austin’s earnings per year
nordsb [41]
Assuming there are no breaks, there are 52 weeks in a year so 475(52)= 24700
7 0
2 years ago
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