Answer:
Step-by-step explanation:
That is a factorial, which is calculated by multiplying 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 (which is a really BIG number!) 40,320 to be exact!
a constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
in this case, 10 video games cost $145
the question's basically asking what you have to multiply 10 by to get 145
y= 145; x=10
k= y/x = 145/10=14.5
the constant of proportionality is 14.5
30+0.10x
340/0.10=34
34+30=64
64 dollars, I think
Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
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.