Answer:
11.70469991
Step-by-step explanation:
Answer: Opion A
(A) 6 + 2(X + 4)= 1/2(3-X) <=========+ 100 %
Step-by-step explanation:
Answer:
l = 13 m
Step-by-step explanation:
Let's call the width of the rectangle x. Then we can form an expression for the length of the rectangle: 2x - 3
Now we need to form an equation for the area of the rectangle and solve it:
x(2x - 3) = 104
2x² - 3x = 104
2x² - 3x - 104 = 0 - now we need to factorize the equation
(2x + 13)(x - 8) = 0
Now we can say that x = 8 or x = -6.
Because we cannot have a negative length, x = 8 m.
Now we can workout the length using the expression that we formed at the beginning:
2x - 3 = l
2(8) - 3 = l
l = 16 - 3
l = 13 m
is the resultant amplitude of the wave?
a. 74 units
b. 1 unit
c. 75 units
d. m149 units
Members pay a $12 membership fee and $5 for each aerobic class.
i.e. if x is the number of aerobic classes then,
Members have to pay=5x+12
Nonmembers pay $6 for each aerobic class.
i.e. if x is the number of aerobic classes then,
Non members have to pay=6x
We have to determine the number of classes so that they both have to pay same amount
i.e. we have to find the value of x in
6x=5x+12
Subtracting both sides by 5x, we get
x=12
Hence, for 12 classes members and nonmembers have to pay the same amount
Make an equation:
5x+12=6x
Use the subtraction property:
x=12
The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.
2
B.
3
C.
12
D.
28
Answer:
D. 28
Step-by-step explanation:
Please find the attachment.
We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.
We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.
Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:
Upon substituting the given expressions for both segments we will get,
Using distributive property we will get,
Subtracting 5x from both sides we will get,
Now, we will add 8 on both sides
Therefore, the value of x is 28 and option D is the correct choice.