Answer:
∴ Constant of Proportionality is 32
Step-by-step explanation:
Here Given;
(equation-1)
(equation-2) (divide with 'g' on both side)
We know,
The Constant of Proportionality equation is given;
(equation-3)
Where 'k' is known as Constant of Proportionality.
Comparing equation-1 and equation-3;
and 
Now equation-2 become;
Plug and in above equation;
(equation-4)
By comparing equation-2 and equation-4;
So Constant of Proportionality is 32
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality 
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was 
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
Answer: x=7
Step-by-step explanation:
Simplifying
8 + 2x = 6x + -20
Reorder the terms:
8 + 2x = -20 + 6x
Solving
8 + 2x = -20 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
8 + 2x + -6x = -20 + 6x + -6x
Combine like terms: 2x + -6x = -4x
8 + -4x = -20 + 6x + -6x
Combine like terms: 6x + -6x = 0
8 + -4x = -20 + 0
8 + -4x = -20
Add '-8' to each side of the equation.
8 + -8 + -4x = -20 + -8
Combine like terms: 8 + -8 = 0
0 + -4x = -20 + -8
-4x = -20 + -8
Combine like terms: -20 + -8 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
The solution would be like this for this specific problem:
Given:
Total amount of the house
= £234,900
<span>Find:
Amount of deposit paid = ?</span>
So first, we divide the t<span>otal amount of the house by the percent of
deposit that Carol paid.
</span>= £234,900 / 10%
= £23,490
<span>Another way to solve this
is by converting the percent of the deposit into a decimal. We do this by
dividing the percentage amount by 100.
= 10% / 100% </span>
= 0.1
Next, we multiply the
decimal equivalent of the percentage to the total amount of the house.
= £234,900 * 0.1
= £23,490
So, the amount of deposit that was paid by Carol is £<span>23,490.</span>
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
