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abruzzese [7]
3 years ago
11

Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the

recipe, how many gallons of lemonade will Amy and her sister have? A) 17.5 gallons B) 35 gallons C) 70.5 gallons D) 140 gallons
Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

The correct answer is A.) 17.5 gallons

Step-by-step explanation:

There are 4 quarts in one gallon, which means that the recipe makes 1/2 gallon. 35×1/2 = 17.5 gallons.

horrorfan [7]3 years ago
5 0
There are 4 quarts in a gallon, so do the following:

35 * 2 + 70, 70 / 2 = 35

The answer is B.
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Since at t=0, n(t)=n0, and at t=∞, n(t)=0, there must be some time between zero and infinity at which exactly half of the origin
Airida [17]
Answer: t-half = ln(2) / λ ≈ 0.693 / λ

Explanation:

The question is incomplete, so I did some research and found the complete question in internet.

The complete question is:

Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:

N(t)=No e−λt,

where λ is known as the decay constant. Note that at t=0, N(t)=No, the original number of unstable nuclei. N(t) decreases exponentially with time, and as t approaches infinity, the number of unstable nuclei that remain approaches zero.

Part (A) Since at t=0, N(t)=No, and at t=∞, N(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. Find an expression for this time, t half.

Express your answer in terms of N0 and/or λ.

Answer:

1) Equation given:

N(t)=N _{0} e^{-  \alpha  t} ← I used α instead of λ just for editing facility..

Where No is the initial number of nuclei.

2) Half of the initial number of nuclei: N (t-half) =  No / 2

So, replace in the given equation:

N_{t-half} =  N_{0} /2 =  N_{0}  e^{- \alpha t}

3) Solving for α (remember α is λ)

\frac{1}{2} =  e^{- \alpha t} 

2 =   e^{ \alpha t} 

 \alpha t = ln(2)

αt ≈ 0.693

⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ




4 0
3 years ago
The complement of a right angle is an obtuse angle. true or false.
Genrish500 [490]
False because the obtuse angle is to large to complement the right angle to diffrent angles can not be both of their compliments
6 0
3 years ago
The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the t
zhannawk [14.2K]

Step-by-step explanation:

Given that,

a + 2b = 17

Also,

2a + b = 4

By adding the above expressions we get,

a + 2b + 2a + b = 17 + 4

3a + 3b = 21.

3 (a + b) = 21

a + b = 21/3

a + b = 7 Let us take 'b' = 10

a + 10 = 7

a = 7 - 10

a = -3

Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions

a + 2b = 17

-3 + (2 × 10) = 17

-3 + 20 = 17

17 = 17

2a + b = 4

(2 × -3) + 10 = 4

-6 + 10 = 4

4 = 4

Therefore, a = -3 and b = 10 [(-3,10)] is the solution.

8 0
3 years ago
Which of the operations +, -, x, ÷ are inverses of each other?
Verizon [17]
+ & -
X & divide
Hope this helps!
6 0
3 years ago
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18. Use the distributive property to write an equivalent expression to: -(2x + 3y)
nalin [4]

Answer:

.

Step-by-step explanation:

-(2x + 3y)

= -2x - 3y

............

4 0
3 years ago
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