Jack picked 76 apples. of these, he sold 4y apples to juanita and 3t apples to sylvia. if he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) (1) y ≥ 15 and t = 2 (2) y = 17

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him =

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him =

Also we can say that y =17 and t =2

Number of apples remaining with him =

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him =

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him =

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

The equation of the line that passes through (-1,2) and is perpendicular to y=1-2x is

Step-by-step explanation:

We need to write the equation of the line that passes through (-1,2) and is perpendicular to

The equation must be in form   has m equals to slope and c equals to y-intercept

So, we need to find slope and y-intercept.

Finding Slope

When the lines are perpendicular there slopes are opposite to each other.

Slope of given equation is:

We can write it as:

Comparing it with   we get m = -2

Now, The slope of given equation is: m = -2

The slope of required equation will be: m=

Finding y-intercept

Using point (-1,2) and slope m=, we can find y-intercept

So, y-intercept is: c =

Equation of line

Now, the equation of line having slope m=  and c = is:

So, the equation of the line that passes through (-1,2) and is perpendicular to y=1-2x is