Daniel's age is X
Daniel's brother age is Y
X = 3 + ( 2Y )
Y = ( X - 3 ) / 2
In case of Daniel is 17
then his brother's age is = ( 17 - 3 ) / 2 = 7 years
To find the answer to this problem, you just need to figure out which total amount of candy is divisible by 7.
161/7=23
<span>162/7=23.1428571429
</span>145/7=<span>20.7142857143
128/7=</span><span>18.2857142857
Obviously, Julie cannot give a fraction of an amount of candy to someone. So that rules out that she had 162, 145, or 128 pieces of candy.
The only amount of candies that Julie could have that is divisible by 7 is 161 candies, which means that 161 is your answer.</span>
Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Its perpendicular, if you need me to explain lmk
Answer:
L = 50 * (-0.4)^(n - 1)
Step-by-step explanation:
r = t2/t1 = -20/50 = - 0.4
a = 50
L = 50 * (r)^(n - 1) Let's see if we can get the answer when n = 3
L=50 * (-0.4)^(3 -1)
L =50* (-0.4)^2
L = 50 * 0.16
L = 8 which is correct