Answer:
p = - 
, p = 1
Step-by-step explanation:
Given
1 - | 3p + 1 | = - 3 ( subtract 1 from both sides )
- | 3p + 1 | = - 4 ( multiply both sides by - 1 )
| 3p + 1 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
3p + 1 = 4 OR - (3p + 1) = 4
Subtract 1 from both sides
3p = 3 ( divide both sides by 3 )
p = 1
OR
- (3p + 1) = 4, that is
- 3p - 1 = 4 ( add 1 to both sides )
- 3p = 5 ( divide both sides by - 3 )
p = -
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
p = 1 : 1 - | 3 + 1 | = 1 - |4| = 1 - 4 = - 3 ← true
p = - : 1 - | - 5 + 1 | = 1 - | - 4 | = 1 - 4 = - 3 ← true
Thus the solutions are p = 1, p = -
Answer:
We just need the equations to equal the same, which is y.
5+1.10x=y
3+1.50x=y
5+1.10x= 3+1.50x
Let's get x by itself by subtract 3 from both sides.
2+1.10x= 1.50x
Now subtract 1.10x from both sides.
2= 0.4x
Now divide each side by 0.4
5=X
So, at 5 games they're the same cost. Let's find the cost.
5+1.1(5)= 5+5.5=10.50
3+1.5(5)=3+7.5= 10.50
So, at 5 games, they are $10.50.
Hope this helps! :)
Answer:
$70
Step-by-step explanation:
1 - ⅙ - ¼ = (12 - 2 - 3)/12 = 7/12
7/12 × 480 = 280
280/4 = 70
Answer:
5 hours
Step-by-step explanation:
737mi / 11hr = 67mph
335mi / 67mph = 5hr
Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is 
of Bianca's height plus 32 inches, so the equation is.
Meredith's height = 
Substitute Meredith's height in above equation.
Now we solve the above equation for x.
By cross multiplication.
28 divided by 2.
Therefore, the height of the Bianca is 42 inches.
