<h3>
Answer: 112</h3>
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Explanation:
The angle adjacent to the 146 degree angle is 180-146 = 34 degrees.
In other words, the angles 34 and 146 combine to 180. These angles are supplementary.
The tickmarks on this triangle tell us it is isosceles. The angles opposite the congruent sides are congruent angles. So the unmarked interior angles (not marked x) are 34 degrees each.
Now use the fact that any triangle has its interior angles always add to 180
x+34+34 = 180
x+68 = 180
x = 180-68
x = 112
Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation:
We have the simple equation
y = 6.50x + 6
6.50x because it it per person
6 because it is a flat one time charge
We want the max to be 71 so that will be our y
71 = 6.50x + 6
We are now going to solve for x
65 = 6.5x
x = 10
Hope it helps! (:
195 is the answer because you replace x with 10
Step-by-step explanation:
825-630=195
Ok so to solve this problem we're going to need to find out how much money they made (their revenue) and the subtract the cost of paying the employees.
So, let's start by finding their revenue
Step 1: Multiply the cost of each beverage by the number sold
Coffees: 20 x 2.85 = 57
Lattes: 17 x 4.80 = 81.6
Step 2: add up the money made from the coffees and the money made from the lattes to get the total revenue
57 + 81.6 = 138.6
So the shop made $138.60 on Tuesday. Let's set that aside while we find out how much the shop's costs were.
Step 3: Find the price of paying two employees for 6 hours
2 x 6 x 14.5 = 174
So the shop had to pay the employees $174.00 for working there.
Step 4: Find the overall profit/loss by subtracting the cost from the revenue
138.6 - 174 = -35.4
So the shop had a loss of $35.40 on Tuesday.
Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)
Answer:
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.
