Answer:
slope is -55 balance decreases by $55 each month
Step-by-step explanation:
solve for slope using slope formula:
(620-895)/(6-1) = -275/5 = -55
decreases by $55 since that's the slope
<span>To be infallible means to be unable to make a mistake. In this case, selection B. Connor feels that he is able to do things without error and, in that vein, is able to beat all of his chess opponents because he knows the proper decision and moves to make at all times.</span>
Answer: b. Side BC and Side KL
Step-by-step explanation:
Only these two lines are in the same positions.
Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30
substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w
substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w
substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15
insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16
B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2
Let
x---------> the total number of coins
we know that
512 cents-------> is equal to $5.12
1 penny is equal to $0.01
1 nickel is equal to 5 penny--------> $0.05
1 dime is equal to 2 nickel--------> $0.10

![\frac{x}{3}*[0.01+0.05+0.1]=5.12 \\\\x*[0.16]=15.36 \\\\ x=\frac{15.36}{0.16} \\\\x= 96\ coins](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2A%5B0.01%2B0.05%2B0.1%5D%3D5.12%20%5C%5C%5C%5Cx%2A%5B0.16%5D%3D15.36%20%5C%5C%5C%5C%20x%3D%5Cfrac%7B15.36%7D%7B0.16%7D%20%5C%5C%5C%5Cx%3D%2096%5C%20coins)
the total number of coins are 96
Divide 96 by 3 to obtain the number of coins of each type
therefore
<u>the answer is</u>
the number of penny coins are 
the number of nickel coins are 
the number of dimes coins are 