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3 years ago

4000 divided by 95 and show the work

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

4000 divided by 95 is 42.1052631579because you can use a division table to answer this question 4000 inside 95 outside

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

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1 year ago

What is 57.4% as a decimal

Nostrana [21]

57.4% = 0.574 in decimal form. Hope I helped!

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2 years ago

What is the diameter of this circle

sukhopar [10]

Answer:The area of a circle with diameter 3.5 is 7

Step-by-step explanation:

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2 years ago

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Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of

gavmur [86]

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25 multiply this equation by 6

12*P + 4D = 39.00

<u>12P + 18D = 133.5</u> Subtract these two equations

- 14D = - 94.50 Divide by -14

-14D/-14 = -94.5/-14 Do the division

D = 6.75

=========================

12P + 4D = 39 Substitute for D

12P + 4*6.75 = 39 Combine

12P + 27 = 39 Subtract 27 from both sides

12P + 27-27=39-27 Collect like terms

12P = 12 Divide by 12

12P/12 = 12/12

P = 1 Answer

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2 years ago

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Which expression has a value of 20?

Mice21 [21]

Answer:

the fist one is equal to 20

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3 years ago