You have to divide 45/25 or used the calculator but if you want the answer to be as a fraction in lowest terms you have to simply 45 and 25 by 5
45 /25 divide by 5 will be= 9/5 if you simplify it again will be 1 and 4/5.
and the number of dimes that Victoria has. Define the variables that you use to write
the system.
Answer:
0.05n+0.10d=1.90
n=d+2
Step-by-step explanation:
One nickel is worth $0.05, so n nickels are worth 0.05n. One dime is worth $0.10, so dd dimes are worth 0.10d.The total 0.05n+0.10d equals $1.90:
0.05n+0.10d=1.90
Since there are 2 more nickels than dimes, there are more nickels, so if we add 2 to the number of dimes, we will get the number of nickels, meaning nn equals d+2.d+2.
n=d+2
From the problem, we create a system of equations that represent the value and quantity of nickels and dimes Victoria has. The system is: 0.05N + 0.10D = 1.90 and N = D + 2, where N represents nickels and D represents dimes.
The problem is about finding the number of nickels and dimes Victoria has. To do this, we will use a system of equations. We'll define N as the number of nickels and D as the number of dimes.
The first equation is based on the total value: since a nickel is worth $0.05 and a dime is worth $0.10, Victoria's coins add up to $1.90 - hence 0.05N + 0.10D = 1.90
The second equation is based on the quantity of coins: Victoria has 2 more nickels than dimes - hence N = D + 2.
Therefore, the system of equations is:
#SPJ11
Factor completely 2x3 + x2 - 18x – 9.
The completelyfactoredform of 2x³ + x² - 18x - 9 is (2x + 1)(x - 3)(x + 3).
We have,
To factor completely the expression 2x³ + x² - 18x - 9, we can follow these steps:
- Step 1: Group the terms in pairs:
(2x³ + x²) + (-18x - 9)
- Step 2: Factor out the greatest commonfactor from each pair:
x²(2x + 1) - 9(2x + 1)
- Step 3: Observe that we have a common binomial factor of (2x + 1).
Factor it out:
(2x + 1)(x² - 9)
- Step 4: The binomial (x² - 9) is a difference of squares and can be further factored as:
(2x + 1)(x - 3)(x + 3)
Therefore,
The completelyfactoredform of 2x³ + x² - 18x - 9 is (2x + 1)(x - 3)(x + 3).
Learn more about expressions here:
#SPJ6
,1 tenth + 17 hundredths
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,11 hundredths + 8 tenths
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