Answer:
<h2>x = 35</h2>
Step-by-step explanation:
Because the angles are vertical angles, they must be equal.
3x + 7 = 112
3x = 105
x = 35
Check
3(35) + 7 = 112
112 = 112 Correct
Answer:
<h2>X greater-than 0</h2>
Step-by-step explanation:
The given function is

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.
Therefore, the domain of this function is all real numbers more than zero.
The image attached shows the graph of this function, there you can notice its domain restriction.
So, the right answer is the first choice: x greater than 0.
Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride
You figure out the amount of chocolate doughnuts sold by multiplying 2/3 by 7 1/4
first you change 7 1/4 to an improper fraction:
7 1/4= 29/4
now multiply 2/3×29/4 by multiplying the two numerators then putting that over the two denominators multiplied: (2×29)/(3×4)=58/12
now simplify:58/12=4 10/12= 4 5/6
the answer is Stanley's doughnut shop sold
4 5/6 trays of chocolate doughnuts
Answer:
- The amount of water is the dependent value.
- The amount of rice is the independent value.
Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the <em>dependent</em> variable, and "rice" the <em>independent</em> variable.
The amount of water is the dependent value.
The amount of rice is the independent value.