There are 1,320 calls every hour.. in 12 hours there are 14,760 calls.
Answer:
y = 3/2x by making use of angle relationships in triangles
Step-by-step explanation:
Here's one way to solve it.
∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:
∠ADE = 2x° +y°
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If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:
∠AGE = ∠GAD +∠GDA
3y° = x° +(2x° +y°)
2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °
y = (3/2)x . . . . . . . . divide by 2
Answer:
6 glasses.
Step-by-step explanation:
Mark drank a total of 10 glasses of water and iced tea yesterday.
Each glass of water contained 8 ounces.
Each glass of iced tea contained 12 ounces.
All together he drank 96 ounces.
Given a system of simultaneous equations:
x + y = 10
8x + 12y = 96
This depicts that there are x glasses of water and y glasses of iced tea.
Solving the simultaneous equations:
x + y = 10 ... (i)
8x + 12y = 96 ... (ii)
Multiplying (i) by 8 and (ii) by 1 gives;
8x + 8y = 80 ... (i)
8x + 12y = 96 ... (ii)
Subtracting (i) from (ii) gives;
4y = 16 , y = 16/4 = 4
So mark drank 4 glasses of iced tea and 10 - 4 = 6 glasses of water.