Answer:
$4.34
Step-by-step explanation:
Given the information:
- The original price: $5
- Discount : 20%
- Tax: 8.5%
We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
- The tax amount she need to pay is:
= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
For this case we must convert 34 miles to feet and inches.
34 miles to feet:

Jada runs 179,520 feet
34 miles to inches:

Jada runs 2,154,240 inches
Answer:
Jada ran 179,520 feet
Jada ran 2,154,240 inches
Answer:
The required product is 
Step-by-step explanation:
Consider the provided expression.

Open the parentheses.



Add the like terms.

Hence, the required product is 
Answer:
1
Step-by-step explanation:
3(-2y) +2y = -4
-6y+2y=-4
-4y=-4
y=1