Jean Valjean is buying candlesticks and plates for his new French restaurant. He has $60 to spend on plates and candlesticks. Each plate costs $3. Each candlestick costs $6 (it comes with free candles!). Jean needs to buy a total of 15 items. How many plates and how many candlesticks does he buy? Enter the answer as an ordered pair (number of plates, number of candlesticks)

(10, 5)

Step-by-step explanation:

Total money to spend = $60

Cost of each plate = $3

Cost of each candlestick = $6

Let number of plates bought =

Let number of candlesticks bought =

Total number of items to be bought = 15

Therefore, the first equation can be written as:

..... (1)

Total money spent on plates = Number of plates bought Cost of each plate = $3

Total money spent on candlesticks = Number of candlesticks bought Cost of each candlestick = $6

Second equation can be written as:

Dividing both sides with 3:

..... (2)

Subtracting (1) from (2):

From equation (1) :

Number of plates bought = 10

Number of candlesticks bought = 5

Answer as ordered pair is: (10, 5)

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.