The expression evaluates to 54.
To formulate a system of equations for Naomi and Hudson, who work at a dry cleaners where Naomi can iron 35 shirts per hour and Hudson can manage 20 shirts per hour, we know that together they worked 13 hours and completed a total of 395 shirts. Naomi, during her 13 hours, could potentially iron 455 shirts (13 x 35), meaning each hour Hudson worked lessens that number by 15 shirts. The difference of 60 shirts (455 - 395) indicates that Hudson worked for 3 hours and Naomi, therefore, for 10 hours. The resulting equation reflects this relationship: 35Y + 20X = 395.
Answer:
We start with the number 337 060.
Expanded form refers to a way of representing a standard form number in more detail.
This number will be converted to expanded form utilizing exponents.
=> 337 060
To begin, let's break down each component.
=> 300 000 = 3 x 10^5
=> 30 000 = 3 x 10^4
=> 7 000 = 7 x 10^3
=> 60 = 6 x 10^1
=> 3 x 10^5 + 3 x 10^4 + 7 x 10^3 + 6 x 10^1 – this is the expanded form of the number using exponents.
Step-by-step explanation:
Answer:
The correct choice is option D.
Detailed explanation:
Any fraction where m > n can be represented as a/b
where a = quotient
b = remainder.
The specified number is given as m/n.
3)4( 1 ← quotient
- 3
____
1 ← remainder
In this case, quotient= 1, remainder=1, and n=3.
.
A geometric sequence models the bounce heights:
Use the formula
A (subscript n) = Ar(n-1)
a = the first-term value
n = the index of the term you want (for the fourth peak, n = 4)
r = common ratio, found by dividing the second term by the first
Here r = 18/27 = 2/3 because 27×(2/3) = 18, and similarly 18×(2/3) = 12
For the fourth peak n = 4
Compute: 4th term = 27(2/3)^(4-1) = 8
Therefore the height at the fourth peak is 8
