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Citrus2011 [14]
3 years ago
8

Three eggs are required to make two dozen muffins. how many eggs are needed to make 12 dozen muffins using a proportion

Mathematics
2 answers:
olganol [36]3 years ago
6 0
Amount of eggs needed to make 2 dozen muffins
= 3

Amount of eggs needed to make 1 dozen muffins
=3/2
=1.5

Amount of eggs need to make 12 dozen muffins
=1.5x12
=18
lilavasa [31]3 years ago
4 0
18 eggs are required to make 12 dozen muffins
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If x an integer and 2x +8 <22 and 3x >9, how many possible values of x are there?
koban [17]

Answer:

3 values

Step-by-step explanation:

2x +8 <22 and 3x >9

Solve the two inequalities separately and then put them back together

2x +8 <22

Subtract 8 from each side

2x +8-8 <22 -8

2x < 14

Divide by 2

2x/2 < 14/2

x < 7

Then solve the second inequality

3x>9

Divide by 3

3x/3>9/3

x >3

Putting them back together

x>3 and x < 7

Since it has to be an integer

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Step-by-step explanation:

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3 years ago
If f(x)=3/x and g(x)=3x, which of the following statements is true?
bagirrra123 [75]

Answer:

d. (g*f)(-9)=-1

Step-by-step explanation:

In this problem, we have two functions:

f(x)=\frac{3}{x}

and

g(x)=3x

The notation:

(f*g)(x) represents the composite function of f and g; this can be calculated by using the output of g(x) as input for f(x), in other words:

(f*g)(x)=f(g(x))

Simiarly, the notation (g*f)(x) can be calculated by using the output of f(x) as input for g(x), mathematically:

(g*f)(x)=g(f(x))

Using the definitions of f(x) and g(x), we can derive an expression for the two composite functions here:

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And

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Now we can analyze the given statements:

a. (f*g)(2)=2  --> FALSE, because (f*g)(2)=\frac{1}{2}

b. (g*f)(2)=0  --> FALSE, because (g*f)(0)=\frac{9}{0}=\infty

c.(f*g)(9)=1  --> FALSE, because (f*g)(9)=\frac{1}{9}

d. (g*f)(-9)=-1 --> TRUE, because (g*f)(-9)=\frac{9}{-9}=-1

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