Answer:
The solution is 
Step-by-step explanation:
We are given the following equation:
8x - 61 = 17
We want to find the solution, that is, the value of x. So



Simplifying by 2

The solution is 
Answer:
m∠A ≈ 43°
m∠B ≈ 55°
mBC ≈ 20
Step-by-step explanation:
Law of Sines: 
Step 1: Find m∠B

Step 2: Solve for ∠B
29sinB = 24sin82°
sinB = 24sin82°/29
B = sin⁻¹(24sin82°/29)
B = 55.038°
Step 3: Find m∠A
180 - (55.038 + 82)
180 - 137.038
m∠A = 42.962°
Step 4: Find BC

Step 5: Solve for BC
29sin42.962° = BCsin82°
BC = 29sin42.962°/sin82°
BC = 19.9581
Answer:
2. 3.913 kg (3 dp)
3. light cream
4. 240 CoffeeStops
5. 7 CoffeeStops per square mile
6. 2,861 cups of coffee each day
Step-by-step explanation:
Given:
- Skim milk density at 20 °C = 1.033 kg/l
- Light cream density at 20 °C = 1.012 kg/l
- 1 liter = 0.264 gallons
<u>Question 2</u>

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)
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<u>Question 3</u>
Given:
- Volume of liquid = 9 liters
- Mass of liquid = 9.108 kg

Therefore, the container holds light cream.
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<u>Question 4</u>
Given:
- 15 CoffeeStops per 100,000 people
- Population of Manhattan ≈ 1,602,000 people

Therefore, there are 240 CoffeeStops.
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<u>Question 5</u>
Given
- Manhattan ≈ 34 square miles

Therefore, the density of CoffeeStops is 7 per square mile.
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<u>Question 6</u>
Given:
- Each person buys 3 cups of coffee per week


Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.
Answer:
2.15
Step-by-step explanation: