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White raven [17]
2 years ago
9

Planning for a party, Carla mixed 3/4 liters of lemon concentrate with 21/4 liters of water to make 3 liters of lemonade. The pa

rty ran out of lemonade. To make a new batch of lemonade, Carla used exactly 4 liters of water. How many liters of lemon concentrate should Carla use.
Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer:

78/4

Step-by-step explanation:

it seems right

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Suppose a term of a geometric sequence is a4 = 121.5 and the common ratio is 3. write the formula for this sequence in the form
9966 [12]
The rule of the <span>geometric sequence is a* r^{n-1}
a ⇒⇒⇒ </span><span>the first term
r ⇒⇒⇒ </span><span>common ratio

Given: the fourth term </span>(a4) <span>= 121.5   and the common ratio = 3  and   n = 4

∴</span><span> 121.5 = a* 3^{4-1}
∴ a = 121.5/3³ = 121.5/27 = 4.5

So, T</span><span>he formula for this sequence will be</span><span>    4.5 * 3^{n-1}</span>
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2 years ago
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Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in
nydimaria [60]

Answer:

50

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

110

So, let's solve both inequalities.

1)

110

Subtract 10 from both sides:

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Divide both sides by 2:

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2)

2x+10

Subtract 10 from both sides:

2x

Divide both sides by 2:

x

So, our inequality is now:

110

Since we solved the equations:

50

Written as a compound inequality, this is:

50

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.

So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.

4 0
2 years ago
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Yi is running for class president. To try to predict how people will vote, she wants to take a poll with a 90% confidence level
slega [8]
90The information that you'd need in determining sample size when the standard deviation is unknown is:

z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645

The margin error (E) = 4%

The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.

The probability of not success is q = 1 - 0.5 = 0.5

STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02

STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25

STEP 3: 
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)

STEP 4: 
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2 years ago
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If the tangent of an angle of a right angled triangle is 0.8 , then it's longest side is
Blababa [14]

Step-by-step explanation:

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2 years ago
It takes 32 hours for a motorboat moving downriver to get from pier A to pier B. The return journey takes 48 hours. How long doe
lina2011 [118]

Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u \frac{km}{hr}

Speed of current = v \frac{km}{hr}

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Time taken in downstream = 32 hours

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u + v = \frac{100}{32}

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Time taken in upstream = 48 hours

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u -v = \frac{100}{48}

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By solving equation (1) & (2)

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Now the time taken by the un powered raft to cover this distance

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Because un powered raft travel with the speed of the current.

T = \frac{100}{0.5205}

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