Answer:
Fiona earns $2/hour more than Philip.
Step-by-step explanation:
y = 12x shows a slope of 12. That slope is the hourly salary.
Philip earns $12/hour.
Fiona:
$42/(3 hours) = $14/hour
Fiona earns $14/hour
14 - 12 = 2
Fiona earns $2/hour more than Philip.
Answer:
1. Kite,
2. Kite.
Step-by-step explanation:
1. The quadrilateral form will have 2 equal pairs of adjacent sides which is a kite.
2. Find the slope and length of the sides:-
slopes (9-6)/ 0-3) = -1
(6-1) / (3-0) = 5/3
(6-1) / (-3-0) = -5/3
(9-6)/(3) = 1
Lengths = sqrt(9 + 9) = sqrt18
sqrt(25 + 9) = sqrt34
sqrt (25 + 9) = sqrt34
sqrt (9 + 9) = sqrt18.
This is another kite.
Let x be the unknown amount of child tickets
Let 450 - x be the unknown amount of adult tickets (This is because the total amount subtracted from the child tickets can only be the adult tickets since there are no other tickets)
2x+5(450-x)=1800
(2x because each child ticket cost $2 and same for the adult tickets. Each adult ticket cost $5. So, the sum must be 1800.)
Simplify the equation.
2x+5(450-x)=1800 *Distribute*
2x+2250-5x=1800 *Combine like terms. (2-5=-3)*
-3x + 2250 = 1800 *Move constants and variables to opposite sides*
-2250 -2250
---------------------------
-3x=-450 *Divide by 3 to isolate the variable*
---- ------
-3 -3
x=150
So, there are 150 child tickets. To find adult tickets, just subtract children tickets from the amount of tickets bought (450-150) to get 300 adult tickets sold.
The fifth period class has a greater fraction of students that like to bowl.
Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number. Examples of rational numbers are 1/2, -3/4, 0.3, or 3/10.
Here we have,
In second period, 37.5% students like to bowl
∴, 37.5% = 37.5/100
= 375/1000
= 0.375 students like to bowl in second period
And in fifth period, 12 students out of 29 like to bowl
Therefore, 12/29 = 0.413 students like to bowl in fifth period
Hence, on comparison
0.375 < 0.413
= 375/1000 < 12/29
Thus, fifth period class has a greater fraction of student that like to bowl as compared to second period class.
Learn more about rational numbers by referring to the following link:
brainly.com/question/12088221
#SPJ4
Answer:
The final balance would be $1,038 after 4 years and 5 months.
Step-by-step explanation:
The final balance would be $1,038 and the total compound interest would be $213.
