Answer:
You have found 24 nickels.
Step-by-step explanation:
Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:
![N+D+Q=72\\0.05N+0.10D+0.25Q=10.20](https://tex.z-dn.net/?f=N%2BD%2BQ%3D72%5C%5C0.05N%2B0.10D%2B0.25Q%3D10.20)
As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:
![10N+20D+15Q=1,060](https://tex.z-dn.net/?f=10N%2B20D%2B15Q%3D1%2C060)
Solving the linear system:
![N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24](https://tex.z-dn.net/?f=N%2BD%2BQ%3D72%5C%5C5N%2B10D%2B25Q%3D1%2C020%5C%5C10N%2B20D%2B15Q%3D1%2C060%5C%5C%5C%5C10N-10N%2B20D-20D%2B15Q-50Q%3D1%2C060-%282%2A1%2C020%29%5C%5C-35Q%3D-980%5C%5CQ%3D28%5C%5C%5C%5C5N-10N%2B10D-10D%2B25Q-10Q%3D1%2C020-720%5C%5C-5N%2B15Q%3D300%5C%5C-5N%3D300-%2815%2A28%29%5C%5CN%3D24)
You have found 24 nickels.
3<span>pink
5red
4yellow
12 total roses.
Probability of selecting a pink rose would be 3/12 or 1/4.
p(pink)=3/12=1/4
The complement of that would be 1-1/4=3/4.
P(NOT pink)=1-1/4=3/4
So theres a 3/4 chance that she WON'T randomly select a pink rose.
Answer=3/4</span>
The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
First let's stae the the original location of the figure on the graph.
From the graph:
L (2, 1)
W(1, -3)
O (-1, -2)
A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;
Positive numbers becomes negative and negative numbers becomes positive.
The new location for L = L'
L' = (-2, -1)
The new location for W = W'
W' = (-1, 3)
The new location for O = O'
O' = (1, 2)
Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
Answer:
Step-by-step explanation:
Find the slope = -2/1
Find the y-intercept = 5
Go to graph
put a dot at (0,5)
since it's a negative slope you will go up 2 and left 1
draw your line
_________________________________________________
Find the slope = 3/1
Find the y-intercept = 0
go to graph
Put a dot at (0,0)
Since it is a positive slope you will go down 3 and left 1.
To find the slope and y-intercept use this formula=
y=mx+b
m=slope
b=y-intercept
I'm sorry I don't know how to do a check equation for these.
Answer:
C.
Step-by-step explanation:
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