Let
n-------> the number of nickels
q------> the number of quarters
we know that
so
----> equation A
----> equation B
substitute equation B in equation A
![0.05n+0.25[3n]=1.60](https://tex.z-dn.net/?f=0.05n%2B0.25%5B3n%5D%3D1.60)
Find the value of q
therefore
<u>The answer part a) is</u>
the number of nickels are 
and the number of quarters are 
<u>the answer Part b) is</u>
The expressions that represents the number of quarters is
Answer:
<h2>
Letter C</h2>
Step-by-step explanation:
If we look on the number line we see that there is a point on -3, another point on -1, 2, and 7.
These points tell us our answer, but the question states it doesn't have to be in any order.
As we look at answer A we see -3, 1, 2, and -7. That's incorrect since there is no positive 1 nor an -7.
As we look at answer B we see -3, 7, 1, and -2. That's incorrect since there is no positive 1, and not a -2.
As we look at answer D we see -2, 3, 1, and 7. That's incorrect since there is no positive 2, no positive 3, and no negative 1.
C has to be the correct answer since it's the only answer left and has the 4 numbers that are on the number line.
Therefore, the correct answer is C.
Best of Luck to you.
If you have any questions, feel free to comment below.
Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
Answer:
9/10
Step-by-step explanation:
90%
Answer:
61°
this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle
Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°
<2 is also equal to 61° by the interior angles theorem
Step-by-step explanation:
