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Charra [1.4K]
3 years ago
10

Given the following geometric sequence, find the common ratio: {225, 45, 9, ...}.

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

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a 12-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the
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The shorter piece is 3 feet
The longer piece is 9 feet
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3 years ago
Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit mu
Fofino [41]

Answer:

  • 987436

Step-by-step explanation:

The number is divisible by 4 if the number formed by the last two digits is divisible by 4.

Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.

The smallest 2-digit number that is divisible by 4 is 36

<u>Then the largest number is:</u>

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4 0
3 years ago
Devon purchased one bag of dog food and three bags of cat food. Each bag of dog food weighs x pounds and each bag of cat food we
likoan [24]

Answer:

A pound of cat food will weigh 6.5 pounds

Step-by-step explanation:

Firstly, we need to get the value of x. Thus, let’s solve the equation at hand;

x + 3x/2 = 32.5

x + 1.5x = 32.5

2.5x = 32.5

x = 32.5/2.5

x = 13

Now from the question, we are made to know that a pound of cat food measures half of what a pound of dog food measures

Since we calculate a pound of dog food to weigh 13 pounds, a pound of cat food will weigh = 13/2 = 6.5 pounds

6 0
4 years ago
Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?
Step2247 [10]

Answer:

X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]

Step-by-step explanation:

A matrix is given by

A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]

Now, we have to find the matrix X if \frac{1}{2} X = A

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]

⇒ X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right] (Answer)

4 0
4 years ago
Read 2 more answers
The number of books donated to a library is increasing by 25% each month. Initially, there were 80 books donated to the library.
Tresset [83]

Answer:

the answer is 745. hope i could help you. I know its late lol



3 0
3 years ago
Read 2 more answers
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