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1 year ago

How many quarts of water must be added to 2 gal of soup that is 50% chicken broth to make the soup 40% chicken broth?

1 answer:

7 0

Step-by-step explanation: Well we would know that the original soup is one gallon water and one gallon broth because that is 2 gallons 50% to 50%.

Then to decrease the amount of broth by 10%, we would accomplish this by first turning the original gallons into quarts so we would have 4 quarts broth and 4 quarts water. We need to get a total of ten quarts SO........ we know that we need to add 2 MORE quarts of WATER.

Finally when we add all the quarts together we get 10 total with 6 water and 4 broth which totals to 60% water and 40% broth.

FINAL ANSWER: 2 QUARTS WATER

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7. Tamara goes on a spring break trip with her school to visit historical sites in Italy. She purchases $200 of souvenirs while

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Answer:

Step-by-step explanation:

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1 year ago

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Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a ho

olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

$FV=PV(1+i)^{n}$

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

$150.000=50.000(1+i)^{10}$

solving for i:

first, divide both sides by 50.000 to simplify the equation:

$3=(1+i)^{10}$

Take $10^{th}$ roots of both sides:

$1+i=$ ± $\sqrt[10]{3}$

solve for i:

$i=$ ± $\sqrt[10]{3} -1$

We get two answers, but we look for a coherent value. So we take the positive one:

$i=11.6123174$ ≈12

6 0

1 year ago

Please help I will give brainliest

lutik1710 [3]

Answer:

Angle PQW is equal to 35 degrees

Step-by-step explanation:

Angle PQW = 36x - 1

Angle WQR = 134x

Angle PQR = 169 degrees

To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:

PQR - WQR = PQW

Substitute in the values

169 - 134x = 36x - 1

Now add 134x to both sides and add 1 to both sides.

170 = 170x

Now divide 170 from both sides

x = 1

Plug x into angle PQW

36(1) - 1 = 35

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1 year ago

Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is

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Answer: 140

Step-by-step explanation:

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1 year ago

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What is a3 in an arithmetic sequence in which a10=41 and a15=61

USPshnik [31]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_{10}&41\\
a_{11}&41+d\\
a_{12}&(41+d)+d\\
&41+2d\\
a_{13}&(41+2d)+d\\
&41+3d\\
a_{14}&(41+3d)+d\\
&41+4d\\
a_{15}&(41+4d)+d\\
&41+5d=61
\end{array}
\\\\\\
41+5d=61\implies 5d=20\implies d=\cfrac{20}{5}\implies \boxed{d=4}\\\\
-------------------------------\\\\$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=10\\
a_{10}=41
\end{cases}
\\\\\\
41=a_1+(10-1)4\implies 41=a_1+36\implies \boxed{5=a_1}$

thus

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=3\\
a_{1}=5
\end{cases}
\\\\\\
a_3=a_1+(3-1)4\implies a_3=5+(3-1)4$

and surely you know how much that is.

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1 year ago

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