Answer:
Peter can make 10 tacos.
Step-by-step explanation:
Jaqueline's recipe calls for .1 pounds of beef per taco.
Given only 1 pound, multiply by, taking the reciprocal of .1 gives us 10 tacos.
Answer:
D) 6.4
Step-by-step explanation:
The Angle Bisector Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
This means that:
18/9.6 = 12/x
Solving for x:
x = 12*9.6/18
x = 6.4
Answer:
probability of the product of the chosen integers being a multiple of 3 is P(E)= 1 - (91/285)
=194/285 or 0.6807.
Step-by-step explanation:
The sample space of all possible choices of three integers from the set {1,2,…..,20} has C(20,3) = (20×19×18)/3! elements.
The complement of the event space E consists of all possible choices of three integers from the complement of the set of all the multiples of 3 in the above set because the product of the chosen integers is a multiple of 3 if and only if at least one of them is a multiple of 3. Hence we have to choose three elements from the set {1,2,4,5,7,8,10,11,13,14,16,17,19,20} which has 14 elements.
Hence
|E'| = C(14,3)
= 14×13×12/3!.
Therefore probability P(E')
= |E'|/|S|
= (14×13×12)/(20×19×18)
= (14×13×2)/(20×19×3)
=(7×13)/(5×19×3)
= 91/285.
Therefore the required probability of the product of the chosen integers being a multiple of 3 is P(E)= 1 - (91/285)=194/285 or 0.6807.
Answer:
125 text messages.
Step-by-step explanation:
Let x represent number of text messages.
We have been given that the Call First cell phone company charges $35 per month and an additional $0.16 for each text message sent during the month.
The cost of sending x text messages using call first would be 
.
The total cost of sending x text messages using call first would be 
.
Cellular Plus, charges $45 per month and an additional $0.08 for each text message sent during the month.
The cost of sending x text messages using cellular plus would be 
.
The total cost of sending x text messages using cellular plus would be 
.
Now, we will equate both expressions to solve for x as:
Therefore, 125 text messages would have to be sent in a month to make both plans cost the same.
Answer:
TWO PARALLEL LINES AND LINES WITH EQUAL LENGTHS
Step-by-step explanation:
As we all know a quadrilateral is a polygon with four sides(edges and corners). Trapezoid is a four sided shape with opposite sides parallel while parallelogram is also a for sided shape that has its opposite sides paralleled.
NOW, a quadrilateral is said to be both a trapezoid and a parallelogram when there are two opposite parallel lines , which are lines with equal lengths.
