Answer:
Hong = 25
Pablo = 100
Lashonda = 18
Step-by-step explanation:
Let Hong's order be x , since Pablo served 4 times as many as Hong , then Pablo's order is 4x , also , since Lashonda served 7 fewer than Hong , it means Lashonda's order is x - 7 . combining all
Hong's orders = x
Pablo's order = 4x
Lashonda's order = x - 7
Total order = 143
Then
x + 4x + x - 7 = 143
6x - 7 = 143
6x = 143 + 7
6x = 150
x = 25
Therefore :
Hong served 25 orders
Pablo served 24x 4 orders = 100 orders
Lashonda served 25 - 7 orders = 18 orders
Answer:
42 Dimes, 10 Nickels.
Step-by-step explanation:
Dimes are worth $0.10, nickels are worth $0.05.
If D = number of dimes, and N = number of nickels, then the following equations are true:
0.10D + 0.05N = 4.70
D + N = 52
Next, let's multiply the first equation by 10 so that we can subtract the second one from it.
D + 0.50N = 47
(-) D + N = 52
Subtracting the second equation from the first one gives:
-0.5N = -5
-0.5N/-0.5 = -5/-0.5
N = 10
Finally, substitute N in the original second equation to find D.
D + 10 = 52
D + 10 - 10 = 52 - 10
D = 42
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
x = 5. y = 4
Step-by-step explanation:
7x - 4 = 31
7x = 35
x = 5
4y + 8 = 24
4y = 16
y = 4
