We will represent everything in cents
nickles are worth 5 cents and dimes are 10 cents
n=number of nickles
d=number of dimes
60 total coins
n+d=60
total is 430 cents
5n+10d=430
divide both sides by 5
n+2d=86
we gots
n+d=60 and
n+2d=86
eliminate
multiply first equation by -1 and add to 2nd equation
-n-d=-60
<u>n+2d=86 +</u>
0n+1d=26
d=26
so
n+d=60
n+26=60
n=34
34 nickles and 26 dimes
Answer:
5
Step-by-step explanation:
perimiter of rectangle is 3+7+7+3 = 20
square x+x+x+x=20
4x=20
x=20/4
x=5
Answer:
Any equation that has the same slope (1/3), and a Y-intercept other than 6
Step-by-step explanation:
Answer: $33,400 ✌️
A liability is anything you owe or any debt you have to pay back.
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
