Answer:
-4(8-3x)>or =6x-8
Step-by-step explanation:
open d bracket
-32+12x >or = 6x-8
collect like terms
12x-6x >or =-8+32
6x = 24
divide both sides by 6
x= 4
9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
__
We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
Answer:
v = 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Terms/Coefficients/Degrees
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
2v + 3v + 75 = 180
<u>Step 2: Solve for </u><em><u>v</u></em>
- Combine like terms: 5v + 75 = 180
- Isolate <em>v</em> term: 5v = 105
- Isolate <em>v</em>: v = 21
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k = 
= 
= 336
y = 
← equation of variation
When x = 14 and z = 8, then
y = 
= 192
Answer:
105°
Step-by-step explanation:
We are supposed to find the angle between the hour hand and the minute hand at a time of 2:30 in a 12 hour analog clock.
So, we have 12 segments in a clock , each segment corresponding to an hour.
Angle of each segment would be :-
At 2:30 the minute hand will be facing 6 hour direction and the hour hand between hours 2 and 3.
So the angle between them would be
So the angle between the hour and the minute hand at time 2:30 is 105°.
