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2 years ago

The sevth term of a geometric sequence is 108 the eight term is 36 find the common ratio

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

7 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

$\sf t_8=108 \\ \sf t_7=36$

Common difference=d

${:}\longrightarrow$ $\sf d=t_8-t_7$

${:}\longrightarrow$ $\sf d=108-36$

${:}\longrightarrow$ $\sf d=72$

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Given I=prt,where I=4.5,p =500,and t=2.5,what is r as a percent?

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divide both sides by 500
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divide 2.2 to both sides
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You are biking at a speed of 18 miles per hour. You are 3 miles behind your friend who is biking at a speed of

labwork [276]

Answer:

12t -3 = 18t

Step-by-step explanation:

Let

d = your friends distance in miles

t = time in hrs

Your equation:

d - 3 = 18t (1)

Because you are 3 miles behind your friend

Your Friend's equation:

d = 12t (2)

To find the amount of time t it takes for you to catch up with your friend,

Substitute (2) into (1)

d - 3 = 18t

12t - 3 = 18t

Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t

Solving the equation

12t - 3 = 18t

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2 years ago

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2 years ago

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t

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$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equation representing the given statement is ~

$50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

total savings is equal to ~

330 + 50x

hence,

$50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

$50x \geqslant 820 - 330$

$50x \geqslant 490$

$x \geqslant 490 \div 50$

$x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

$10$

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2 years ago