B. square root of 64 plus square root of 4
Which statement best describes the two expressions?
A. Both are rational.
B. Both are irrational.
C. A is rational, but B is irrational.
D. A is irrational, but B is rational.
Angle ADB is 3 times larger than angle BDC. By assigning a variable to BDC, an equation can be formed to find the values of both angles. BDC is 45 degrees and ADB is 135 degrees.
The given problem states that angle ADB is 3 times larger than angle BDC. Let's assign a variable to angle BDC, such as x degrees. Since angle ADB is 3 times larger, it would be 3x degrees. The sum of angle ADB and angle BDC is equal to 180 degrees, as they form a straight line.
Therefore, we can write the equation 3x + x = 180 to represent the sum of the angles.
Simplifying the equation, we get 4x = 180. Dividing both sides by 4, we find that x = 45 degrees. Hence, angle BDC is 45 degrees and angle ADB is 3 times larger, resulting in 3 * 45 = 135 degrees.
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Solve the exponential equation 6u = 22
Answer:
u = log 22 / log 6
u = 1.725
Step-by-step explanation:
Let's start by saying:
When ever you have an exponential equation with a different base, you attack
Answer:
lg22/lg6
Step-by-step explanation:
6^u = 22
lg(6^u) = lg22
ulg6 = lg22
u = lg22/lg6
B)7.5+5s>4500
C)7.5+5s<_(less or equal)4500
D)7.5a+5s>_(greater or equal)4500
The director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:
7.5a + 5s ≥ 4500
The correct option is:
D) 7.5a + 5s ≥ 4500
Let, set up the inequality based on the given information.
Let "a" represent the number of adult tickets sold and "s" represent the number of student tickets sold.
The revenue from adult tickets is given by: 7.5a (as each adult ticket costs $7.50)
The revenue from student tickets is given by: 5s (as each student ticket costs $5.00)
To find the total ticket sales, we add the revenue from adult and student tickets:
Total ticket sales = 7.5a + 5s
Now, the director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:
7.5a + 5s ≥ 4500
The correct option is:
D) 7.5a + 5s ≥ 4500
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The expression that is not equivalent to is
(option A)
The expression given is
Using the law of exponent:
we can simplify the expression:
Simplifying the exponent gives
This can also be expressed as a fraction:
or
Comparing the options, we can see that the inequivalent expression is (option A)
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Answer:
C
Step-by-step explanation:
The answer is C