So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer:
7x+6
Step-by-step explanation:
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?
Simplified Expression:
3(x + 4) + 2(2x – 3)
3x+12+2(2x-3)
3x+12+4x-6
7x+6
The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
Answer:
(y + 1) = 3( x +2)
Step-by-step explanation:
from equation,
y - y1 = m( x - x1)
given x1=2, y1= -1
m = 3 (slope)
substitute
y - (-1) = 3( x - 2)
ans: y+1= 3(x+2)
