A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
Start by letting x represent the number of Sam's pencils. Then Sari has 3x (since she has three times as many)
Together they total 28 pencils:
x + 3x = 28
4x = 28 /:4 (divide both sides by 4)
x = 7
So Sam has 7 pencils.
Sari, having three times as many, has 7 * 3 = 21.[[TAG_8]]
Answer:
The artist begins to profit when n > 8.18
That means the quantity of necklaces must exceed 8.18.
Step-by-step explanation:
Given
let n represent the number of necklaces
booth fee= $135
The expense for materials per necklace = $4.5n
the overall selling price for all necklaces = $12n
total costs= booth fee + material costs = $135 + 4.5n
profit = selling price - total costs
12n > 135 + 4.50n
By solving for n, we find
12n=135 + 4.50n
12n + 4.5n = 135
16.5n = 135
n = 135/16.5
n = 8.18
Hence, the artist achieves profits when n > 8.18.
Answer: The least amount spent amounts to £12.92 Step-by-step explanation: Given Number of Cartons = 38 A carton costs 45 pence 4 cartons cost £1.56 In order to minimize expenses, one must opt for the cheaper choice. Since there are 100 pence in £1, this means that £1.36 is equivalent to x pence, where x * 1 = 1.36 * 100, leading to x = 136 pence for four cartons. To find the cost of a single carton, divide x by 4; thus, x/4 = 136p/4, resulting in x/4 = 34 pence. This indicates that a carton of juice can be purchased at 34 pence and 45 pence, with 34 pence being the better deal. Therefore, the total expenditure equals 34 * 38, which converts to 1292p and subsequently to £12.92.
<span><span>1. </span>We have two boxes with weights:
=> 9.4 lb and 62.6 lb.
To find a rough estimate of their total weight, we will round and use compatible numbers.
For 9.4 lbs, rounding gives us 9 lbs
And for 62.6 lbs, it rounds to 63 lbs
=> Adding these two rounded numbers yields:
=> 9 + 63
=> 72, the estimated total is 72.
Let’s verify if this is close to the actual weight
=> 9.4 + 62.6
=> 72</span>
