Answer: 4 science questions and 5 math questions
<u>Step-by-step explanation:</u>
To guess, you know that no matter how many 10 point questions you answer, the result will end in a zero. The number given is 85 so find a number you can multiply by 9 that ends in a 5. Answer: 9(5) = 45
The remaining points (40) are divisible by 10.
40 ÷ 10 = 4
Check: 5 (9-point questions) + 4 (10-point questions) = 9 total questions
45 points + 40 points = 85 points
Note that this problem can be solved mathematically by setting up a system of equations:
Points: 9x + 10y = 85
Quantity: x + y = 9
Answer:
13.5
Step-by-step explanation:
7 1/2=7.5
7.5/5*9=13.5
<span> it's 2x3.14 times 6 times 18
</span><span>2π(6)(18)</span>
Answer:
The tea's actual cost is $116.25
Step-by-step explanation:
* Lets revise how to find the z-score
- The rule the z-score is z = (x - μ)/σ , where
# x is the score
# μ is the mean
# σ is the standard deviation
* Lets solve the problem
- The average cost of a glass of iced tea is $1.25
- The standard deviation of it is 7 cents
- A new restaurant charges a price for iced tea that has a
z-value of -1.25
* Lets change the average cost to cent
∵ $1 = 100 cents
∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents
∵ z = (x - μ)/σ
∵ z = -1.25
∵ μ = 125
∵ σ = 7
∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7
∴ -8.75 = x - 125 ⇒ add 125 to both sides
∴ 116.25 = x
* The tea's actual cost is $116.25
Answer:
144
Step-by-step explanation: