Answer:
$27.17
Step-by-step explanation:
Regular price of necklace = $44
If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%
⇒ 65% of $44
= 0.65 × $44
= $28.60
If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%
⇒ 95% of $28.60
= 0.95 × $28.60
= $27.17
Therefore:
The sale price with a 35% discount is $28.60
The sale price with an additional 5% discount is $27.17
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
<span> -1/4 (-6/11)
To find the product, all you have to do is multiply the numerator by the other numerator and the denominator by the other denominator
6/44
Simplify
Final Answer: 3/22
*Note: Whenever you multiply or divide a negative number by another negative number, it automatically becomes a positive number.</span>
Answer:
B . (fog)(-4) = - 61
Step-by-step explanation:
Here, given f(x) = 4 x + 7, g(x) = 3 x- 5
Now, by the COMPOSITE FUNCTION:
(f o g) (x) = f (g(x))
Now here: )f o g) ( -4) = f (g(-4))
<u>Simplifying for g(x) = 3 x - 5</u>
g(-4) = 3 (-4) - 5 = -12 - 5 = -17
or, g (-4) = -17
Now, <u>for f(x) = 4 x + 7 </u>
f ( g(-4)) = f ( -17) = 4 (-17) + 7
= - 68 + 7 = - 61
or, f ( g(-4)) = - 61
Hence, (fog)(-4) = - 61
Answer:Simplifying
6 + -2x = 6x + -10x + 6
Reorder the terms:
6 + -2x = 6 + 6x + -10x
Combine like terms: 6x + -10x = -4x
6 + -2x = 6 + -4x
Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -4x
-2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
-2x = 0 + -4x
-2x = -4x
Solving
-2x = -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-2x + 4x = -4x + 4x
Combine like terms: -2x + 4x = 2x
2x = -4x + 4x
Combine like terms: -4x + 4x = 0
2x = 0
Divide each side by '2'.
x = 0
Simplifying
x = 0
Step-by-step explanation:
