Answer:
6 items are being purchased
Step-by-step explanation:
Given that variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation
t = 4p + 20.
Using t = 44
44 = 4p + 20
collect like terms or subtract 20 from both sides
44 - 20 = 4p
24 = 4p
Divide both sides by 4
24/4 = p
p = 6
Answer:
The perimeter is 7 dm
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c------> the length of the third side
case a)
1+c>3
c>2 dm
case b)
1+3> c
4 > c
rewrite
c<4 dm
The solution for c is the interval------> (2,4)
therefore
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
P=1+3+3=7 dm
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
For this case we have the following inequality:
Subtracting 4 from both sides of the inequality we have:
Dividing between 7 on both sides of the inequality we have:
Thus, the properties used were:
Subtraction property
Division property
Answer:
Subtraction property
Division property
