Step-by-step explanation:
Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.
Therefore, we can form the equations:
3h + 2d = 13 and
2h + 4d = 14
2(h +2d) = 14
h + 2d = 7
h = 7 - 2d
By substituting this to the first equation, we get:
3(7 - 2d) + 2d = 13
21 - 4d = 13
4d = 8
d = $2
h = 7 - 2(2)
h = $3
Hence <u>1 hot dog costs $2</u> and <u>1 hamburger costs $3</u>
Answer:
0.006369
Step-by-step explanation:
Given that a test consists of 10 multiple choice questions, each with five possible answers, one of which is correct.
By mere guessing p = probability for a right answer = 1/5 =0.20
There are two outcomes and each question is independent of the other.
X no of questions right is Bin (10,0.20)
the probability that the student will pass the test
= prob of getting more than 60%
=
=0.006369
Answer:

Step-by-step explanation:
Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

Answer:
60/11
Step-by-step explanation:
tan A = 60/11
Answer:
x = 1 or x = 
Step-by-step explanation:
The expression inside the absolute value function can be positive or negative
That is 3x - 7 = ± 4
There are 2 equations to solve
(1)
3x - 7 = 4 ( add 7 to both sides )
3x = 11 ( divide both sides by 3 )
x = 
(2)
3x - 7 = - 4 ( add 7 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1