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2 years ago

15

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1 answer:

andre [41]2 years ago

5 0

The number of hours would be the independent variable, because it is not affected by other variables...

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2 years ago

4 glue sticks cost $7.76. Write a proportion

damaskus [11]

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Divide 7.76 by 4 to get the cost of each glue stick

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2 years ago

A right triangle has a hypotenuse of length 9 inches. If one angle is 35 degrees, find the length of each leg.

Montano1993 [528]

<span>90 + 35 = 125.
180 -125 = 55 degrees.

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3 years ago

Read 2/3 pages in an hour how long would it take to read 20 pages

maw [93]

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3 years ago

Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18

jonny [76]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}$

3 0

3 years ago