Since the problem states "a number" and again "a number", I assume it;'s the same number. Let the number be x.
12x - 9x = 3x
The difference of twelve times a number and nine times a number is three times the number.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Answer:
20
Step-by-step explanation:
h(-7) just means that inside the x value, you replace the x with a -7.
h(-7) = |3x| - 1
h(-7) = | 3(-7)| - 1
h(-7) = | -21 | - 1
NOTE: -21 is inside |x|, those straight lines mean absolute value. No matter what, any negative number would turn into a positive one. And if it’s posititve, then it stays positive.
h(-7) = 21 - 1
h(-7) = 20
$270 equals 135% of the original price
270/x=135/100
135*2=270
100*2=200
Final answer: $200
