Answer:
144 ways
Step-by-step explanation:
Number of paintings = 7
Renaissance = 4
Baroque = 3
We are hanging from left to right and we will first hang Renaissance painting before baroque painting.
For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24
For baroque we have 3! Ways of doing so. 3x2x1 = 6
We have 4!ways x 3!ways
= (4x3x2x1) * (3x2x1) ways
= 144 ways
Therefore we have 144 ways to hang the painting.
Answer:
17 = x
Step-by-step explanation:
720 = 110 + 8x -1 + 5x + 36 + 116 + 7x + 19 + 6x - 2
720 = 278 + 26x
442 = 26x
17 = x
Answer: 49 students
Step-by-step explanation:
2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:
Let the number of students that will be sampled be y. This will be:
2/7 of y = 14
2/7 × y = 14
2y/7 = 14
Cross Multiply
2y = 7 × 14
2y = 98
y = 98/2
y = 49
49 students will be selected randomly.
Answer:
C. (3,2)
Step-by-step explanation:
to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.
the first choice is (2,1)
3(2) + 2(1) = 13
6 + 2 is not equal to 13. Therefore this answer choice is incorrect.
second choice (1,2)
3(1) + 2(2) = 13
3 + 4 is not equal to 13. This answer is also incorrect.
third choice (3,2)
3(3) + 2(2)
9 + 4 = 13 is true!
we can also substitute these x and y values for the equation underneath:
y = x - 1
2 = 3 - 1
2 = 2 is true! Therefore, C. (3,2) is correct!
