<u>Answer:</u>
−12 ÷ 4 expression best shows the temperature change each hour. Hence Option C is correct
<u>Solution:</u>
Given that, the temperature has been going down at a constant rate.
In 4 hours it went down by 12 degrees.
Now, we have to choose the correct option which best describes about the change in temperature for each hour.
Now, we know that, 12 degrees decreased in 4 hours.
Then, number of degrees decreased in one hour = 
Number of degrees changed in one hour = 
Because the temperature is decreasing we have to add a (-) symbol before the change in degrees.
So, now, <em>number of degrees changed in 1 hour </em>= 
Hence, the correct option is option c.
Since Circumference is
So to get Area, you have to get the radius first:
, which is
Next we divide both sides by
to get:
Now we have to get the area which is
Plug in 15 for r, you should get
![A=[(3.14)(15)]^2](https://tex.z-dn.net/?f=A%3D%5B%283.14%29%2815%29%5D%5E2)
Final Answer: 
Answer: E. $744
Step-by-step explanation:
Think of all 5 days and the previous day doubled
So
24
48
96
192
384
All together is $744.
Let
z-----------> t<span>he height of the larger box
x-----------> the length side of the box (smaller and larger box)
y-----------> t</span>he width side of the box (smaller and larger box)<span>
volume larger box=x*y*z
</span>volume smaller box=x*y*(0.80z)----> 0.80[x*y*z]
the difference in the volume of these two boxes=[x*y*z]*(1-0.80)
the difference in the volume of these two boxes=0.20*[x*y*z]
<span>The height of the smaller box is 12 in
</span>so
z*0.8=12--------> z=12/0.8---------> z=15 in
x=7 3/4 in--------> (7*4+3)/4---------> 31/4 in
y= 2 in
the difference in the volume of these two boxes=0.20*[(31/4)*2*15]
the difference in the volume of these two boxes=46.5 in³
the answer is
46.5 in³
Answer: nickels = 14, dimes = 42, quarters = 18
<u>Step-by-step explanation:</u>
Let n represent nickels <em>which has a value of $0.05 </em>
Let d represent dimes <em>which has a value of $0.10</em>
Let q represent quarters <em>which has a value of $0.25</em>
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 <em>multiplied by 100 </em>
5n + 30n + 25n + 100 = 940 <em>distributed</em>
60n + 100 = 940 <em>added like terms</em>
60n = 840 <em>subtracted 100</em>
n = 14 <em>divided by 60</em>
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
