Answer:
4
Step-by-step explanation:
If two variables are proportional then
...(i)
where, k is constant of proportionality.
The given equation is
...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable: 
Dependent variable: 
Constant of proportionality: 
Therefore, the constant of proportionality is 4.
Answer:
(24x + 24) units
Step-by-step explanation:
A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Perimeter = 2(2x + 11 + 10x + 1)
Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)
Perimeter = (24x + 24) units
Answer: the domain is - infinity , + infinity
Step-by-step explanation:
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
- From the table showing in the diagram, Let's pick the data in the first row:
Time = 3 hours
Money earned = $45
- The amount of money Carl earns per hour is calculated as:
3 hours = $45
1 hour = ?
Cross Multiply
1 hour x $45 / 3 hours
= $15
- Let's confirm our answer using the data in the last column
Time = 10 hours
Money earned = $150
The amount of money Carl earns per hour is calculated as:
10 hours = $150
1 hour = ?
Cross Multiply
1 hour x $150 / 10 hours
= $15
Therefore, the amount of money Carl earns per hour is $15
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