Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Given:
A figure of right triangle with terminal angle
, base u, perpendicular v and hypotenuse r.
To find:
The value of
.
Solution:
In a right angle triangle,
![\sin \theta=\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
![\sin \theta=\dfrac{v}{r}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cdfrac%7Bv%7D%7Br%7D)
The value of
is
.
Therefore, the correct option is B.
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Answer:
- 1) 18 quarters and 30 nickels
- 2) 8 quarters and 12 nickels
Step-by-step explanation:
1) Let quarters be x and nickels be y.
<u>Equations based on given, 48 coins, total of $6 = 600c:</u>
<u>Substitute y in the second equation, y = 48 - x</u>
- 25x + 5(48 - x) = 600
- 25x + 240 - 5x = 600
- 20x = 360
- x = 18
<u>Then value of y is:</u>
2) <u>Similarly to problem 1.</u>
<u>Substitution: y= 20 - x</u>
- 25x + 5(20 - x) = 260
- 25x + 100 - 5x = 260
- 20x = 160
- x = 8
<u>Then finding y:</u>
Answer:
B and C
Explanation:
factor the expression = 8(x+1)
simplify to get 8x + 8