Answer:
the correct choice is marked
Step-by-step explanation:
Let x represent the smaller number. Then the larger number is 8x, and the difference is ...
8x -x = 280
7x = 280 . . . . . simplify
x = 40 . . . . . . divide by 7
The larger number is 8x = 8(40) = 320.
_____
<em>Additional comment</em>
Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:
Answer:
See below in bold.
Step-by-step explanation:
cos 150 = - cos(180 - 150)
= - cos 30
= -√3/2.
sin 150
= sin (180 - 150
= sin 30
= 1/2.
Answer:
The answer to your question is There were sold 166 adult tickets and 294
children tickets.
Step-by-step explanation:
Data
Total number of seats = 460
cost for adults = a = $52
cost for children = c = $26
Total cost = $16276
Process
1.- Write equations to solve this problem
a + c = 460 Equation l
52a + 26c = 16276 Equation ll
2.- Solve the system of equation by substitution.
-Solve equation l for a
a = 460 - c
-Substitute a in equation ll
52(460 - c) + 26c = 16276
-Expand
23920 - 52c + 26c = 16276
-Simplify
-26c = 16276 - 23920
-26c = -7644
c= -7644/-26
c = 294
3.- Find a
a = 460 - 294
a = 166
Answer:
the answer is 30 different ways
Step-by-step explanation:
Answer:
<u>The correct answer is A. x = 6 + 3 √10</u>
Step-by-step explanation:
Let's solve for x:
x² - 12x + 36 = 90
Factoring this quadratic equation, we have:
(x - 6) (x - 6) = 90
(x - 6)² = 90
x - 6 = √90 (Square root to both sides of the equation)
x = 6 + √90 (Adding 6 to both sides of the equation)
x = 6 + √9 * 10
x = 6 + √3² * 10
x = 6 + 3 √10
<u>The correct answer is A. x = 6 + 3 √10</u>
