An orange punch recipe uses 2/3 cup carbonated water for every 4 cups orange juice. mandy pours 5 cups of orange juice into a bowl. how many cups of carbonated water does mandy need?

(5/6) cup carbonated water

Step-by-step explanation:

We can easily solve this problem by applying a rule of three.

4 cups of orange juice      2/3 cup carbonated water

5 cups of orange juice      x

x = (5/4)*2/3 cup carbonated water

x = (10/12) cup carbonated water

x = (5/6) cup carbonated water

x = 0.8333 cup carbonated water

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

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: