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MariettaO [177]
3 years ago
12

(913 – 892 + 3) - (413 + 9x + 8) Simplify the expression

Mathematics
2 answers:
victus00 [196]3 years ago
5 0
(28+3)-(421+9x)
31-421+9x
-390+9x
Natasha_Volkova [10]3 years ago
3 0

Answer:

-397 -9x

Step-by-step explanation:

(913-892 +3)

(21+3) - (421+9x)

(24) -421 -9x

-397 -9x

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A person can pay $27 for a membership to the science Museum and then go to the museum for just a $1.00 per visit. What is the ma
HACTEHA [7]

Answer:

10

Step-by-step explanation:

27 + 1(10) = 37

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4. If a warehouse holds 300 boxes, and a truck holds 25 boxes. How many truckloads will it take to fill up one warehouse?
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It will take 12 truckloads to fill up one warehouse. Hope this helps.
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Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax.
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3 years ago
1. In an auditorium, there are 21 seats in the first row and 26 seats in the second row. The number of seats in a row continues
kondor19780726 [428]
1. Let s_n be the number of seats in the n-th row. The number seats in the n-th row relative to the number of seats in the (n-1)-th row is given by the recursive rule

s_n=s_{n-1}+5


Since s_1=21, we have

s_2=s_1+5
s_3=s_2+5=s_1+2\cdot5
s_4=s_3+5=s_1+3\cdot5
\cdots
s_n=s_{n-1}+5=\cdots=s_1+(n-1)\cdot5

So the explicit rule for the sequence s_n is

s_n=21+5(n-1)\implies s_n=5n+16

In the 15th row, the number of seats is


s_{15}=5(15)+16=91

2. Let p_n be the amount of profit in the n-th year. If the profits increase by 6% each year, we would have

p_2=p_1+0.06p_1=1.06p_1
p_3=1.06p_2=1.06^2p_1
p_4=1.06p_3=1.06^3p_1
\cdots
p_n=1.06p_{n-1}=\cdots=1.06^{n-1}p_1

with p_1=40,000.

The second part of the question is somewhat vague - are we supposed to find the profits in the 20th year alone? the total profits in the first 20 years? I'll assume the first case, in which we would have a profit of


p_{20}=1.06^{19}\cdot40,000\approx121,024

3. Now let p_n denote the number of pushups done in the n-th week. Since 3\cdot4=12, 12\cdot4=48, and 48\cdot4=192, it looks like we can expect the number of pushups to quadruple per week. So,

p_n=4p_{n-1}

starting with p_1=3.

We can apply the same reason as in (2) to find the explicit rule for the sequence, which you'd find to be

p_n=4^{n-1}p_1\implies p_n=4^{n-1}\cdot3
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What is n/4 +n/4+n/4+n/4 equal
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n/4+n/4+n/4+n/4=4n/4=n

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