Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
Answer:
Each will receive 
of the cake.
Step-by-step explanation:
Let the amount of cake = c
Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.
Number of persons = 3
Part of the cake shared = 
Fraction of the cake shared by each = 
= 
= 
Therefore, fraction of total cake shared by each member will be 
of the total amount of cake.
Let the measure of the second angle be x.
The first angle has measure 3x - 34.
The sum of the measures is 180.
x + 3x - 34 = 180
4x - 34 = 180
4x = 214
x = 53.5
The second angle has measure 53.5 deg.
3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5
The measure of the first angle is 126.5 deg.
Answer: The measures are 126.5 deg and 53.5 deg.
Answer:
But on what question??
Step-by-step explanation:
