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Zigmanuir [339]
3 years ago
10

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 100%

pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 180 pints of a mixture that is 55% pure fruit juice?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

you will 180 pints of the 100% juice and 540 pints of the 40% juice

Step-by-step explanation:

in order to get a 55% mixture you must combine 1 100% and 3 40%

100 + 120 = 220 then divide by 4 and you get 55% juice

now you must use 180 100% juice and 540 40 % juice to make 180 pints

you need this because the ratio is 3 40% to every 1 100%

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frutty [35]

The statements aren't given; however the number of 1/2 and 1/4 - pound package have been calculated below.

Answer:

Step-by-step explanation:

Given :

A 12 pound block :

Number of 1/2 pound packages that can be obtained :

12 ÷ 1/2 ;

12 * 2/1 = 24 (1/2 - Pound package) can be obtained.

Number of 1/4 pound package that can be obtained :

12 ÷ 1/4

12 * 4 /1 = 48 (1/4 - Pound package) can be obtained

We can obtain twice the number of 1/2 - pound package by using the 1/4 - pound slicing.

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2 years ago
Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the
Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

20% of 175000 is = 0.2\times175000 = $35000

Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

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3 years ago
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Pavlova-9 [17]

Answer:

1.

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2.

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m= -\frac{1}{3}

b= 1

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Step-by-step explanation:

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Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that  y=3x+4

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