Aaron is 5 years younger than
Roy. Four years later, Roy will be
twice as old as Aaron. Find their
present ages

Roy is 6 years old and Aaron is 1 year old.

Step-by-step explanation:

A is Aaron's age,

R is roy's age,

A = R - 5

R + 4 = 2(A+4)

We can distribute first,

R + 4 = 2A + 8

Subtract 4 from each side,

R = 2A + 4

Since A = R - 5, you can substitute in R - 5 for A in the equation,

R = 2(R-5) + 4

Distribute,

R = 2R - 10 + 4

Since - 10 + 4 = -6, we can do this,

R = 2R - 6

Subtract R from both sides,

0 = R - 6

Add 6 to both sides and you have part of your answer;

R = 6

Since A = R - 5,

A = 6 - 5

A = 1, so Aaron's age is 1.

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:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.