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Juliette [100K]
3 years ago
7

Show All Work

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
5,249 = 29d
If they read 5,249 <em>pages</em>, then we can include the unit for pages in the equation.
Since we also know that <em>d</em> is the number of days it took, you can replace <em>d</em> with days.
The equation becomes:
5,249\ pages=29*(x\days)
Now that we have one variable, we can solve for <em>p/d</em>:
\frac{5,249\ pages}{29}=x\ days\\\\181 = x
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding <em>p/d</em> is:
\frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}
Johnny read 29 pages per day.
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GenaCL600 [577]

Answer:

The table:

x | y

2  5

3  7.5

6  15

Explanation:

Yes, Y is proportional to X and Y because it follows the equation which is

y = 5/2x

8 0
2 years ago
Read 2 more answers
You throw a baseball upward with an initial velocity of 35 feet per second. The height h (in feet) of the baseball relative to y
Nostrana [21]

Answer:

35/16 sec    ( 2  3/16  sec)

Step-by-step explanation:

This assumes you glove is at height = 0

0 = -16t^2 + 35t

0 = t ( -16t + 35)    shows t = 0 ( before you throw it) and t = 35/16 sec

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2 years ago
Find the total area of the figure below? Round to the nearest tenth<br> PLEASE HELP ME!!!
ivann1987 [24]
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3 years ago
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!During a 4-month-long drought, the water level in a lake changed
Dafna1 [17]

Answer:

-78

Step-by-step explanation:

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-312 ÷ 4 = -78

3 0
3 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
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