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raketka [301]
3 years ago
7

Sylvia and her friends mixed 6 quarts of pineapple juice and 4 quarts of sparkling water to make a fruity drink. The next week,

they mixed 5 quarts of pineapple juice and 3 quarts of sparkling water. Which describes the tastes of two different batches
Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

The change of concentration surely made the difference since the last drink contained more juice with respect to the water

Step-by-step explanation:

The concentration of a drink

We can know how much of a certain ingredient there is with respect to the entire mix. This is known as the concentration and is commonly expressed in percentage %

Sylvia and her friends made a drink with 6 quarts of pineapple juice in 4 quarts of sparkling water. The total quantity of water is 10 quarts, so the concentration of pineapple juice is

\frac{4}{10}=\frac{2}{5}=40\%

The next week, their drink consisted of 5 quarts of pineapple juice and 3 quarts of sparkling water, so the new concentration is

\frac{5}{8}=62.5\%

The change of concentration surely made the difference since the last drink contained more juice with respect to the water

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1,2,5,10,17 What is the pattern
amm1812

Answer:

Going up by odd numbers I’m pretty sure

Step-by-step explanation:

1-2 that went up once

2-5 that went up 3 times

5-10 that went up 5

and so on

6 0
3 years ago
What is the rational number equivalent to <br> __<br> 3.24?
guajiro [1.7K]

Answer:

\frac{324}{100}

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is 3\frac{24}{100}

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0
3 years ago
An account earns simple interest.<br><br> $1800 at 6.5% for 30 months
Vikentia [17]

A = P(1 + rt)

Where:

<span>A = Total Accrued Amount (principal + interest)
P = Principal AmountI = Interest Amount
r = Rate of Interest per year in decimal;
r = R/100
R = Rate of Interest per year as a percent;
 R = r * 100
<span>t = Time Period involved in months or years

</span></span>Calculation:

First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
putting time into years for simplicity,
30 months ÷ 12 months/year = 2.5 years,
then, solving our equation

<span>A = 1800(1 + (0.065 × 2.5)) = 2092.5 </span>
A = $ 2,092.50

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 1,800.00
at a rate of 6.5% per year
<span>for 2.5 years (30 months) is $ 2,092.50.</span>
5 0
4 years ago
Simplify the expression to a polynomial in standard form:<br> (3x – 10)(x2+ 2x - 1 )
KonstantinChe [14]

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

3 0
3 years ago
Soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of drink a
pychu [463]

Answer:

113.04 cubic inches.

Step-by-step explanation:

We have been given that soft drinks are sold in aluminum cans that measure 6 inches in height and 2 inches in diameter.

To find the amount of drink contained in 6 cans, we will find the volume of 1 can using volume of cylinder formula.

\text{Volume of cylinder}=\pi r^2h, where,

r = Radius of cylinder,

h = Height of cylinder.

First of let us divide diameter of given cylinder by 2 to get the radius of our cylinder as diameter is 2 times the radius.

\text{Radius}=\frac{2\text{ inches}}{2}

\text{Radius}=1\text{ inch}

Upon substituting our given values in volume formula we will get,

\text{Volume of can}=\pi*\text{(1 inch)}^2*\text{6 inch}  

\text{Volume of can}=3.14*\text{(1 inch)}^2*\text{6 inch}

\text{Volume of can}=18.84\text{ inch}^3

Therefore, one can of soft drink contains 18.84 cubic inches of drink.

To find the amount of drink contained in 6 cans we will multiply volume of 1 can by 6.

\text{Volume of 6 cans}=6\times 18.84\text{ inch}^3

\text{Volume of 6 cans}=113.04\text{ inch}^3  

Therefore, 6 cans of soft drink contain 113.04 cubic inches of drink.

4 0
3 years ago
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