3 years ago

Solve the inequality. 2x-5<9 The solution is:

Mathematics

1 answer:

natali 33 [55]3 years ago

8 0

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

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A metal strip is being installed around a rectangular workbench that is 9 feet long and 4 feet wide. If the stripping costs $5

Alborosie

If the metal strip goes around the bench, then we are looking for the perimeter.

P = 2L + 2W

P = 2(9) + 2(4)

P = 18 + 8

P = 26 feet

Then, we know that the stripping costs $5 per foot, and we need 26 feet of the stripping.

26 x 5 = 130

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2 years ago

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Answer:

Step-by-step explanation:

(2n+ 2)(6n+ 1)

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3 years ago

How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

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$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
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r=\textit{common ratio}\\
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\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
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According to the table below, what is the probability that a student chosen at random will be 16 or older?

galben [10]

Answer:

probability: 0.44

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