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Valentin [98]
3 years ago
11

Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t

he recipe
Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

Tom will need \dfrac{5}{4} gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for \dfrac{1}{2} gallon of fruit drink.

i.e for 1 batch of the punch Tom needs \dfrac{1}{2} gallon of fruit drink.

For \dfrac{5}{2} batch of the punch Tom needs \dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4} gallons of fruit drink.

Therefore, Tom will need \dfrac{5}{4} gallons of fruit drink.

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3. At the start of summer, Ben has $250 . He takes a summer
earnstyle [38]

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0
3 years ago
Which of the following is a solution of z^5 = 1 + √3 i?
nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

z^5=1+\sqrt{3} i

We can write this in polar form with modulus and radius

|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\

Hence angle = 60 degrees and

|z^5|= 2(cos60+isin60)

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\

Out of these only 2nd option suits our answer

Hence answer is Option 2.

8 0
3 years ago
Joan wrote a linear function.
DiKsa [7]

Answer:  look up true or false for the last answer but other than that th answer should be true

Step-by-step explanation:

8 0
2 years ago
Question 3 of 10
guapka [62]

Answer:

That is quite simple,7 is the best choice

3 0
3 years ago
A small backyard measures 45 feet on one side. The other side measures h+ 20 feet. How many feet around is the yard?
Kryger [21]
The answer is 25 feet
3 0
3 years ago
Read 2 more answers
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