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2 years ago

How many glasses of lemon juice and water are need to make 15 glasses of lemonade

Mathematics

2 answers:

hram777 [196]2 years ago

6 0

C: 6 glasses of lemon juice 9 glasses of water

valentinak56 [21]2 years ago

3 0

Answer:

Option B:10 glasses of lemon juice and 5 glasses of water

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Solve the system by elimination -3x+4y=16 3x+y=4

Illusion [34]

X's cancel 5y = 20 y= 4 X=0

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3 years ago

The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t

Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

$n(S)=42$

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

$n(A)=30$

Let P(A) be the probability that the selected person is a professor or a male.

$P(A)=\frac{n(A)}{n(S)}$ $P(A)=\frac{30}{42}$ $P(A)=\frac{15}{21}=\frac{5}{7}$

Final answer:

The probability that the selected person is a professor or a male is 5/7.

7 0

1 year ago

There are 91 days until the craft sale. Autum needs to make 817 rings before the sale. She wants to make about the same number o

Nikolay [14]

Autum needs 9 rings per day

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2 years ago

What is the answer to this somebody!!!

Fed [463]

Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. $\frac{24}{x}=\frac{x}{30}$ . We cross-multiply to get $x^2=720$ . Taking the square root of both sides gives us that $x=12\sqrt{5}$ , the second choice above.

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3 years ago

A new car was valued at $28,000, and it's value depreciated to $14,000 over the next 3 years. Use the exponential equation for d

kompoz [17]

The exponential equation (in thousands) is:
$V = 28 e^{-rt}$
plug in t=3 yrs, and solve for 'r'.
$14 = 28 e^{-3r} \\ \\ \frac{1}{2} = e^{-3r} \\ \\ ln(\frac{1}{2}) = -3r \\ \\ r = \frac{ln(\frac{1}{2})}{-3} = 0.231 = 23.1%$

Find value of car when t = 10
$V = 28e^{-2.31} = 2.779$

8 0

3 years ago