What is the 13 term of the geometric sequence whit this explicit formula an=3•(-2)(n-1)

Malika has $282 in her saving account after the gift obtained from her grandparents.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data given in the question,

7.2 × 4= $28.8

$28.8 - 10=18.8

which means that she saves $18.8 per week.

18.8 × 12 = 225.6

She has collected 225.6 dollars over 12 weeks.

225.6 × 0.25 = 56.4

she received $56.4 from her grandparents,

$56.4 + $225.6 = $282

she has $282.

To know more about arithmetic operations:

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Answer:  

Yes, (8,32) lie on the line y=4x

Solution:

Given equation of line

y=4x     ---- eqn 1

Any point lie on the line if that point satisfies the equation of line.

So from question given point is (8, 32) that is x=8 and y=32

On substituting x=8 and y=32 in equation (1)

32 = 4(8)

32 = 32

Since Left hand side is equal right hand side, the points (8,32) satisfies the equation of line y = 4x

Hence (8,32) lie on the line y=4x

Answer: yes it does

Step-by-step explanation:

Ordered pair: (8,32)

y=4x

32= 4(8)

32 = 32

The correct answer is:

2 pieces, with 1/12 m left over.

Explanation:

To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:

3/4÷1/3

To divide fractions, flip the second one and multiply:

3/4×3/1

To multiply fractions, multiply straight across:

(3*3)/(4*1) = 9/4

4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.

2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:

3/4 - 2/3

Common denominator is 12:

3/4 = 9/12 and 2/3 = 8/12

9/12 - 8/12 = 1/12

There is 1/12 of a meter left.

Answer:

She can make maximum 2 pieces

Amount left = m

Explanation:

1- getting the maximum number of pieces:

We know that the total length is m and that each piece would measure

To get the number of pieces, we would simply divide the total length by the length of each piece as follows:

number of pieces = pieces

We will need to round down to get the maximum number of pieces.

This means that the maximum number of pieces that she can cut is 2 pieces

2- getting the leftover:

We calculated that she can make two pieces each of length m

This means that:

total length of two pieces = m

We know that the total length is m

This means that:

leftover = m

Hope this helps :)

Answer:

15

Step-by-step explanation:

Given:

• 5a - 10b = 45
• b = 3,

Finding the value of a, solving the equation, considering the value of b=3:

• 5a - 10*3 = 45
• 5a = 45+30
• 5a= 75
• a= 75/5
• a= 15

Correct choice is15

Answer:

B. 15

Step-by-step explanation: