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Law Incorporation [45]
3 years ago
15

Ice cream vs temperature

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

answer is probably ice cream

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Please help I don’t really understand how to go about it.
Airida [17]
\bf \textit{sum of an arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
S_n=795\\
a_1=102\\
a_n=57
\end{cases}
\\\\\\
795=\cfrac{n(102+57)}{2}\implies 1590=159n
\\\\\\
\cfrac{1590}{159}=n\implies 10=n\\\\
-------------------------------

so the nth term is really the 10th term, and we know that's 57, thus

\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=10\\
a_{10}=57\\
a_1=102
\end{cases}
\\\\\\
57=102+(10-1)d\implies 57=102+9d\implies -45=9d
\\\\\\
\cfrac{-45}{9}=d\implies -5=d

so, that's the common difference... .so you'd surely know what the 3rd term is, notice the first one is 102.
3 0
3 years ago
The perimeter of a rectangle is 38 in. The width
Alex_Xolod [135]

Good evening ,

______

Answer:

w=6.5in

___________________

Step-by-step explanation:

L : length

w : width

p : perimeter

38=2L+2w

38 =2(w+6)+2w

38 = 4w+12

38-12=4w

26=4w

26/4=w

w=6.5 in.

:)

8 0
3 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
Lady_Fox [76]
Perimeter is the sum of all sides of a polygon. For this case, the perimeter is expressed as: P=a+b+c. It has been said that the longest side is twice that of the shortest side. Let's assume that a is the longest side and b is the shortest side. So, the equation for the shortest side is,

6.2 = 2c
c = 3.1

14.5 = 6.2 + 3.1 + b
<span>14.5 = 9.3 +b</span>
5 0
3 years ago
Read 2 more answers
A pair of equations is shown below:
horrorfan [7]

Answer:

A. x=2, y = 7.

B. (2, 7).

Step-by-step explanation:

A. You can eliminate y by subtracting the equations:

y =  8x - 9

y =  4x - 1       Subtract:

0 =  4x - 8

4x = 8

x = 8/4 = 2.

Now substitute for x in the first equation:

y = 8(2) - 9 = 7.

Check in the second equation:

y = 4x - 1

7 = 4(2) - 1 = 7.  Check is OK.

B. On the graph they will intersect at the point (2, 7).

They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.

4 0
3 years ago
un ingeniero realiza las siguientes observaciones sobre las ventas de inpresoras en una tienda hay impresoras epson hp y cannon
puteri [66]
What languages are you speaking
7 0
3 years ago
Read 2 more answers
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