Answer:
c=2
Step-by-step explanation:
7-4c=3c-7
7+7=3c+4c
14=7c
Dividing both sides by 7
c=2
CHECK:
Putting c in the above equation
7-4(2)=3(2)-7
7-8=6-7
-1=-1
Hence the above solution satisfies the given equation
To order these from the least to greatest you need to convert them all to one common unit of measurement. In this case I chose feet.
385 km= 1, 263, 123 ft
2, 521, 728 in= 210, 144 ft
161, 920 yards= 485, 760 ft
And of course 446, 831 feet equals itself. Now all you have to do is put them in the correct order!
Hope this helped :)
2x-3y=7
-3y = -2x+7
y= 2x/3-7/3
slope of 2/3 (rise 2, run 3)
y-intercept of -7/3
Would be a positive line, starting low on left and rising towards right
Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
The number of books sold is 473.
<u>Step-by-step explanation:</u>
- The original cost of each book = $0.64
- The selling price of each book = $0.75
The difference between the original price and selling price of the book gives the profit per book.
The profit of one book = Selling price - Original price
Let,
- The total number of books be 'x'.
- The number of books sold be 'y'.
- The unsold books is 100.
- The total profit is -12 because it was gone to a loss of $12.
Therefore, the equation is formed as
total Profit = 0.75y - 0.64x
⇒ 0.75y - 0.64x = -12 --------(1)
Total books = sold books + unsold books
x = y + 100
⇒ x-y = 100 -------(2)
Substitute x= 100+y in the eq(1),
0.75y - 0.64(100+y) = -12
0.75y - 64 -0.64y = -12
0.11y = -12 +64
y = 52 / 0.11
y = 472.7
y ≅ 473
The number of book sold is 473 books.
The total number of books is (100+473) = 573 books.
