Select all of the following that are a direct variation.

1 answer:

6 0

Only these are direct variations:

Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.

Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).

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3 years ago

6x-5y=15 x=y+3 find x and y

arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x: 6(y + 3) - 5y = 15
Distribute 6: 6y + 18 - 5y = 15
Combine like terms: y + 18 = 15
[Subtraction Property of Equality] Subtract 18 on both sides: y = -3

Step 3: Solve for x

Define original equation: x = y + 3
Substitute in y: x = -3 + 3
Add: x = 0

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3 years ago

A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the

muminat

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}$