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Ymorist [56]
3 years ago
6

The Hayes family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 3 beds, 3 desks, and 1

dresser to select from. How many different furniture sets could they select?
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

3x3x1 which is 9

Step-by-step explanation:

9 furniture sets.

Hope this helps ;D

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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia
omeli [17]
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

5 0
3 years ago
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What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
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Suppose you want to fence in some land along the edge of a straight river. the fenced area will be in the shape of a rectangle,
m_a_m_a [10]
For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.

The dimensions are 475 m by 237.5 m.

_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.

7 0
3 years ago
Mr.rodriguez invests half money in land a tenth in stocks and a twentieth in bonds he puts the remaining 35,000 in his savings a
Elena-2011 [213]

Answer:  $100,000

<u>Step-by-step explanation:</u>

   Land  +  Stocks  +  Bonds  +  Savings  =  100%

    \dfrac{1}{2}x    +    0.1x     +    \dfrac{1}{20}x       +  35,000   =  1.00x  

=  0.5x   +     0.1x   +     0.05x  +  35,000  =  1.00x

=                                    0.65x  +  35,000  =  1.00x

                                                     35,000  =  0.35x

                                                     \dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}

                                                    100,000  =  x  

3 0
3 years ago
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Help me on this please appreciate it
worty [1.4K]

Answer:

B

Step-by-step explanation:

7 0
2 years ago
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