A - 3b = 4
a = b -2
(b - 2) - 3b = 4
b - 2 - 3b = 4
-2b = 4 + 2
-2b = 6
b = 6/-2
b = -3
a = b - 2
a = -3 -2
a = -5
to check: a = -5 ; b = -3 ⇒ (-5,-3)
a - 3b = 4
-5 - 3(-3) = 4
-5 + 9 = 4
4 = 4
The price of of the hotdog to the price of popcorn is in the ratio 5:4
25:20 is 5:4
Answer:
C
Step-by-step explanation:
Because it's a negative, then we could assume that it is a negative correlation. And because it's closer to -1, it is a strong negative correlation.
Answer:
m<ACD = 
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD =
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is .
Answer:
[-2,7] is the solution of inequality .
Step-by-step explanation:
Given : inequality 2 | 5 - 2x | - 3 ≤ 15
To find: solution of inequality.
Solution : We have given that 2 | 5 - 2x | - 3 ≤ 15
.
On adding 3 both sides:
2 | 5 - 2x | - 3+3 ≤ 15
+3
2 | 5 - 2x | ≤ 18.
ON dividing both side by 2 and simplify
| 5 - 2x | ≤ 9.
On applying absolute rule, if | u | ≤ a,a> then -a ≤ u≤ a
-9≤5 - 2x ≤ 9.
5 - 2x ≤ 9 , 5 - 2x ≤ -9.
- 2x ≤ 9-5
- 2x ≤ 4
On dividing by -2
x ≥ -2.
For 5 - 2x ≤ -9.
- 2x ≤ -9-5
- 2x ≤ -14
On dividing by -2
x ≤ 7
Therefore , [-2,7] is the solution of inequality .
