Ms. Derr wants to buy 2 T-shirts and 6 pairs of socks for her nephew. Each pair of socks costs $3.60 and each T-shirt costs $15.80. If she only budgeted for $50, how much is her budget short? Write an equation for each step to show and explain your work.

Step-by-step explanation:

It says that each T-shirt costs $15.80 and each pair of socks costs $3.60.

Ms. Derr wants to buy 2 T-shirts so,

2(15.80)=x

x= $31.60

Ms. Derr wants to buy 6 pairs of socks so,

6(3.60)=y

y= $21.60

Add the x and y together and you get,

x+y= z

31.60 + 21.60 = z

z= $53.20

Now, Ms. Derr has a budget of $50, so to figure out how short her budget is,

53.20-50.00= b

b= $3.20

Ms. Derr is short of her budget by $3.20.

her budget will be shorted $3.80

Step-by-step explanation:

add 15.80 two times for the price of 2 t-shirts = 31.60

then add 3.60 six times to get the price of 6 socks = 22.20

add 22.20 and 31.60 = 53.80

subtract 53.80 and 50.00 = $3.80

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

the answer is d

hope this