Answer:
see below
Step-by-step explanation:
Question 1: D
Question 2: A
Question 3: B
Question 4: B
Question 5: C
Question 6: D
Question 7: A
Question 8: D
Answer:
(-78/29, -619/29)
Step-by-step explanation:
Since both equations are equal to y we can set them equal to each other
15x+19 = 1/2x - 20
Subtract 1/2x from each side
15x -1/2x +19 = -20
Subtract 19 from each side
14 1/2 x +19-19 = -20-19
Changing to an improper fraction
29/2 x = -38
Multiply each side by 2/29
x = 2/29 * -38
x = -78/29
Now find y
y = 1/2x - 20
y = 1/2 (-78/29) -20
y = -39/29 - 20
Get a common denominator
=-39/20 - 580/29
= -619/29
-39/29 -580/29
well, a right-triangle has 90° total, so if one of the acute angles is taking up 74°, then the other is just 90° - 74°.
Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.
Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements
Total permutation (WITH REPERTITION):
7⁷ = 823 543
Answer:
Cost of adult ticket = $12.5
Cost of child ticket = $7.5
Step-by-step explanation:
Given:
Cost of 6 adult ticket and 5 child ticket = $112.5
Cost of 8 adult ticket and 4 child ticket = $130
Find:
Equation and solution
Computation:
Assume;
Cost of adult ticket = a
Cost of child ticket = b
So,
6a + 5b = 112.5....eq1
8a + 4b = 130 ......eq2
Eq2 x 1.25
10a + 5b = 162.5 .....eq3
eq3 - eq1
4a = 50
Cost of adult ticket = $12.5
8a + 4b = 130
8(12.5) + 4b = 130
Cost of child ticket = $7.5
