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2 years 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

You might be interested in

32h = 288 solve for h

Digiron [165]

Answer:

h= 9

Step-by-step explanation:

you divide both sides by 32

and 288 divided by 32 is 9

7 0

1 year ago

Mrs.Steﬀen’s third grade class has 30 students in it. The students are divided into three groups(numbered 1, 2,and 3),each havin

qaws [65]

Answer:

a. $\\ 10! = 3628800$ ;

b. $\\ 10!*10!*10! = 47784725839872000000 = 4.7784725839872*10^{19}$

Step-by-step explanation:

We need here to apply the Multiplication Principle or the Fundamental Principle of Counting for each answer. Answer b needs an extra reasoning for being completed.

The Multiplication Principle states that if there are n ways of doing something and m ways of doing another thing, then there are n x m ways of doing both (Rule of product (2020), in Wikipedia).

<h3>In how many ways can ten students line up? </h3>

There are ten students. When one is selected, there is no other way to select it again. So, no repetition is allowed.

Then, in the beginning, there are 10 possibilities for 10 students; when one is selected, there are nine possibilities left. When another is selected, eight possibilities are left to form the file, and so on.

Thus, we need to multiply the possibilities after each selection: that is why the Multiplication Principle is important here.

This could be expressed mathematically using n!:

$\\ n! = n * (n-1)! * (n-2)! *...* 2*1.$

For instance, $\\ 5! = 5 * (5-1)! * (5-2)! *...*2*1 = 5 * 4 * 3 * 2 * 1 = 120.$

So, for the case in question, the ten students can line up in:

$\\ 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800$ ways to line up in a single file.

<h3>Second Question</h3>

For this question, we need to consider the former reasoning with extra consideration in mind.

The members of Group 1 can occupy only the following places in forming the file:

$\\ G1 = \{ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28\}^{th}$ places.

The members of Group 2 only:

$\\ G2 = \{ 2, 5, 8, 11, 14, 17, 20, 23, 26, 29\}^{th}$ places.

And the members of Group 3, the following only ones:

$\\ G3 = \{ 3, 6, 9, 12, 15, 18, 21, 24, 27, 30\}^{th}$ places.

Well, having into account these possible places for each member of G1, G2 and G3, there are: 10! ways for lining up members of G1; 10! ways for lining up members of G2 and, also, 10! ways for lining up members of G3.

After using the Multiplication Principle, we have, thus:

$\\ 10! * 10! * 10! = 47784725839872000000 = 4.7784725839872 *10^{19}$ ways the students can line up to come in from recess.

3 0

1 year ago

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

docker41 [41]

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

$y=\frac{15x}{4}-9\\\\$

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

$y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111$

Hence, there are 111 spots in the parking lot.

5 0

2 years ago

Read 2 more answers

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, wha

mr_godi [17]

1. James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip

3 0

2 years ago

Read 2 more answers

A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and

dusya [7]

18= 0.5 (b)(h)
36=(6c)(c-1)
6c^2-6c-36=0
6(c^2-c-6)=0
6(c-3)(c+2)=0
c= 3 or c=-2 but you cant use the negative because your measurement can not be negative, so c=3.
now plug into the original equation.
base is c-1 3-1=2
height is 6c= 6(3)=18

3 0

2 years ago

Read 2 more answers