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3 years ago

A new 12oz lemon ice drink is advertised for having only 160 calories. How many ounces could Sally drink if she wanted to drink

just 100 calories?

Mathematics

1 answer:

il63 [147K]3 years ago

6 0

$\bf \begin{array}{ccll} ounces&calories\\ \cline{1-2} 12&160\\ x&100 \end{array}\implies \cfrac{12}{x}=\cfrac{160}{100}\implies \cfrac{12\cdot 100}{160}=x\implies 7.5=x$

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What are the domain and range of the function f(x) = 3/4x + 5?

pantera1 [17]

Answer:

Domain = (-∞,∞)

Range = (-∞,∞)

This is a linear function.

So, if you were to graph this you'd know that it crosses the x and y axis and continues on forever without stopping.

in that case the domain and range are considered infinite on both axes.

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3 years ago

Solve the following equations x-1=6/x

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Answer:

or,x2-x=6

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Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w

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3 years ago

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Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)

Ksivusya [100]

The given function is:

$g(x)= \frac{10}{x}$

The parents functions of g(x) will be:

$f(x)= \frac{1}{x}$

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) decreases over the same x-values as the parent function.

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Anna [14]

5 x 3²⁴ bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴ means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴ bacteria will there be after one day.

To know more about exponents , visit:

brainly.com/question/13669161

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