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Alborosie
1 year ago
10

Fabio drinks 2 quarts of water each day. How many cups of water does Fabio drink each day? (1 quarts = 4 cups

Mathematics
1 answer:
Westkost [7]1 year ago
5 0

If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

By applying direct proportion, we have:

1 quarts = 4 cups

2 quarts = X cups

Cross-multiplying, we have:

X = 4 × 2

X = 8 cups.

In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.

Read more on direct proportion here: brainly.com/question/1266676

#SPJ1

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Find the domain of the function
Svetradugi [14.3K]

Answer:

<em>The domain of f is (-∞,4)</em>

Step-by-step explanation:

<u>Domain of a Function</u>

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

f(x)=\frac{1}{\sqrt{4-x} }

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0
3 years ago
Solve |x – 4| + 6 = 17.
const2013 [10]

Answer:

\mathrm{C)\:}x=15,\:-7

Step-by-step explanation:

For |a-b|=c, there are two possible cases:

\begin{cases}a-b=c\\a-b=-c\\\end{cases}

Solving for both cases, we get:

\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}

6 0
3 years ago
From 99° to 70°f what is the percent decrease
SSSSS [86.1K]

Answer:

should be -29.29 %

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Helppppppppppppppppppppppppppp
OverLord2011 [107]
The domain of the function f(x) is where the area under the square root (aka the radicand) is positive or zero. We have to write that the radicand is greater than or equal to zero, so 

\dfrac{1}{2}x-10 \geq 0.

C
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3 years ago
A band sold out 4 of its last 20 shows. What is the experimental probability that the band's
kykrilka [37]

Answer:

\frac{1}{5} probability

Step-by-step explanation:

P(Sold Out)= \frac{4}{20}

\frac{4}{20} =\frac{1}{5}

So since the experimental probability is the number of times an event occurs out of the total number of trials...

The answer to "what is the experimental probability that the band's  next show will be sold out?" Is \frac{1}{5}!!!

Hope this helped you!

Have a nice evening!

8 0
3 years ago
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