Answer: -3
Step-by-step explanation:
-4
+ 
can be written as
x 
which is the same as 2
Also ,
can be written as
x
, which is the same as 5
Substituting into the main question , we have
-4 (2
) + 5
= -8
+ 5
= -3
Answer:
The constant of proportionality is
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴ 
∴ 
→ Simplify the fraction by dividing up and down by 2
∴ 
∴ The constant of proportionality is
Answer:
(12, -6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x = y - 42
x = 18 + y
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: -4(18 + y) = y - 42
- Distribute -4: -72 - 4y = y - 42
- [Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
- [Addition Property of Equality] Add 42 on both sides: -30 = 5y
- [Division Property of Equality] Divide 5 on both sides: -6 = y
- Rewrite/Rearrange: y = -6
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = 18 + y
- Substitute in <em>y</em>: x = 18 - 6
- Subtract: x = 12
Answer:
the sales tax is $73.54
Step-by-step explanation:
Answer:
the ratio is 2:30 sorry if its incorrect have a nice day