Darla needs to purchase nine more stamps than envelops. Each stamp cost $0.10, and each envelope costs $0.13 . If she pays $2.51
1 answer:
This is a systems of equations.
s = stamp, e = envelope
Substitute e + 9 for s.
.1(e + 9) + .13e = 2.51
Simplify.
.1e + .9 + .13e = 2.51
Simplify.
.14e + .9 = 2.51
Subtract .9 from both sides.
.14e = 1.61
Divide both sides by .14.
e = 11.5
Now, you can input e into the other equation.
11.5 + 9 = s
Simplify.
20.5 = s
s = 20.5, e = 11.5
You might be interested in
Answer:
The value of a is "3", to complete the coordinate point (3,7) on the line.
Step-by-step explanation:
We are given the slope of the line, and also one point through which the line passes. Therefore, we can find the actual equation of the line by using the slope-point form of the line:
Now, we need to find which value of "x" renders a y-value of "7", to complete the coordinate pair (a, 7) as requested. Therefore, we ask for the y-value in the previous equation to be "7", and solve for its associated x-value:
Therefore, x = 3
Answer:
- A (-4, 1)
- B (2, 5)
Step-by-step explanation:
The current endpoints are ...
V = (-9, 2)
W = (-3, 6)
Put each of these in the translation formula to see where the image points are.
(x, y) ⇒ (x+5, y-1)
(-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'
(-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'
The new end points are (-4, 1) and (2, 5), matching choices A and B.
