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Elis [28]
3 years ago
8

Suppose you visit a restaurant with a salad bar containing the following choices: 10

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

3600

Step-by-step explanation:

multiply all of the choices

10x15x6x4

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Lubov Fominskaja [6]

Answer:

1\frac{1}{9}  gallons of paint

Step-by-step explanation:

paint =

2/3 ---- 3/5

x ----  1

x = \frac{\frac{2}{3} }{\frac{3}{5} } =\frac{(2)(5)}{(3)(3)} =\frac{10}{9}

x=1\frac{1}{9}

Hope this helps

4 0
2 years ago
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iren2701 [21]
.that's how 2 solve it

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3 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

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