MATHEMATICS MIDDLE SCHOOL

Find the common ratio of the sequence -164, -82, -41, -20.5

Answers

Answer 1
Answer:

Answer:

r = (1)/(2)

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = (a_(2) )/(a_(1) ) = (a_(3) )/(a_(2) ) = (a_(4) )/(a_(3) ) = ......

r = (-82)/(-164) = (-41)/(-82) = (1)/(2)

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Convert 7qt/min into gallons per hour

Answers

we first need to turn every thing into the same unit of measure ment

1 gallon=4 quarts
60 minutes=1hour

7*60=420  420 is how many quarts per hour but we want gallons so we want to divide by 4
420/4=105
105 gallons per hour
so
qt=quart
4 quart=1 gallon
1 quart=1/4 gallon
min=minute
60 minutes in 1 hour
1 minute=1/60 hour

so 7 quarts=7 times 1/4 gallons=7/4 gallons
1 minute=1 times 1/60 hours=1/60 minutes

7/4 gallons per 1/60 minutes
(7/4gal)/(1/60h)
we don't really need to divide so multiply the whole thing by (1/60)/(1/60) to clear bottom fraction
(7/4 times 60/1)/(1/60 times 60/1)=(420/4)/(60/60)=(420/4)/(1) =420/4=210/2=105/1=105 gallons per hour

the asnwer is 105 gallons per hour

How to get the lateral area of a rectangular prism? Plz Explain

Answers

If by lateral area you mean the total surface of the rectangle :

each side appears twice so the total area A will be

A=2(length*width+width*height+height*length)=16*8+8*4+4*16
A=224

If you meant lateral area as in the total area minus the top and bottom base:
A=2(width*height+height*length)=8*4+4*16=96

The local theater is raising ticket prices by 20%. Assuming the current youth ticket price is $7.50, find out how much more the youth tickets will cost. Please Help! This is due tomorrow! I just need to know how to do it not the answer.

Answers

In order to solve this, you need to add 20% of the $7.50 TO the $7.50.
First, multiply 0.20 x $7.50 = $1.50
Then, add the $1.50 to the original $7.50 because the price is increasing by 20%, so the new price of the ticket is $9.00

Simplify 11^3 ÷ 11^3 · 11^3

Answers

Answer:

1,331 or 11^3

Step-by-step explanation:

11^3, 11^3 ÷ 11^3 cancels out so it is 1(11^3)

What is the solution to the equation? 2q + 18 = –5q – 3

Answers

2q+ 18= -5q -3
⇒ 2q+ 5q= -3 -18
⇒ 7q= -21
⇒ q= -21/7
⇒ q= -3

Final answer: q= -3~

me John Doe was figuring out his federal income tax. his income was $26,800 but he was able to subtract $5,000 in deductions. he paid 15% of the remaining income in tax. how much did he pay?

Answers

1- Subtract: 26,800-5,000= 21,800 (remaining)
2-15% of 21,800 = 15/100 * 21,800 = 15*218 = $3,270
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