Maya makes trail mix by combining 1/3 cup of mixed nuts,1/4 cup of dried fruit, and 1/6 cup of chocolate morsels. What is the total amount of ingredients in her trail mix?

3/4 cups is the total amount of ingredients in her trail mix.

Step-by-step explanation:

1/3 + 1/4 + 1/6 = total

Convert all fractions to have a common denominator:

Between all three denominators (3, 4, and 6), the least common factor is 12.

1/3 × 4/4 = 4/12

1/4 × 3/3 = 3/12

1/6 × 2/2 = 2/12

Substitute these numbers into the equation:

4/12 + 3/12 + 2/12 = 9/12

Simplify:

9/12 ÷ 3/3 = 3/4

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

a) 7x=7

step-by-step explanation: