Answer:
7/100 or 0.07
Step-by-step explanation:
There is a total of 100 small cubes in this square. Only 7 small squares are shaded. 7 squares of 100 squares as a fraction is <em>7</em><em>/</em><em>100</em><em> </em>and as a decimal is <em>0.07</em>
Answer:
1. Sales tax
Step-by-step explanation:
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Answer:
x= 10/3 or 3.3333333
Step-by-step explanation:
1/5x+1/3= -1/2+8/3
6x+10= -15x+80 Multiply both sides by 30
6x+15x=80-10 Move terms
21x=70 Combine like terms
/21 /21 Divide by 21
x= 10/3
Answer:
Step-by-step explanation:
Given the expression cos(3x-π) = -√3/2, we are to find the values of x that represent the solutions to the equation.
cos(3x-π) = -√3/2
take inverse cos of both sides
cos⁻¹[cos(3x-π)] = cos⁻¹[-√3/2]
3x-π = cos⁻¹[-√3/2]
3x-π = -30°
since 180° = π rad
Hence;
3x- 180° = -30°
3x = -30°+ 180°
3x = 150°
x = 150°/3
x = 50°
Since cos is negative in the first second and 3rd quadrant;
3x-180° = -30°
In the second quadrant;
3x-180° = 180-30
3x - 180 = 150
3x = 150+180
3x = 330
x = 110°
In the third quadrant;
3x-180° = 270+30
3x - 180 = 300
3x = 300+180
3x = 480
x = 480/3
x = 160
Answer:
C. -8
Step-by-step explanation:
We have to solve the inequality by isolating x.
-5x - 12 < 33
Add 12 to both sides.
-5x < 45
Divide both sides by -5 (remember to flip the sign when dividing by a negative).
x > -9
The least possible value for x that satisfies this inequality is -8.