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2 years ago

6

It is stated that a quantity varies directly as another if the two quantities always change in the same ratio. So, what would ha

ppen to the quantity y if the quantity x doubles in value?

1 answer:

lys-0071 [83]2 years ago

5 0

Answer:

2k

Step-by-step explanation:

Let k is the ratio between two variables or y = kx

when x double, means: y = k (2x) = 2kx quantity y will change with a ratio 2k

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The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27, y is 6. What is the constant

ira [324]

$\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \stackrel{\textit{\underline{y} varies directly with the square of \underline{x} and inversely with \underline{z}}}{y=\cfrac{kx^2}{z}}
\\\\\\
\textit{we also know that }
\begin{cases}
x=9\\
z=27\\
y=6
\end{cases}\implies 6=\cfrac{k9^2}{27}
\\\\\\
\cfrac{27\cdot 6}{9^2}=k\implies 2=k$

4 0

2 years ago

3y + 1 - 2y = -3 - 3y

s2008m [1.1K]

Answer:

Step-by-step explanation:

3y + 1 - 2y = -3 -3y

4y = -4

y = -1

3 0

3 years ago

Read 2 more answers

Given the following diagram, find the missing measure. G

jonny [76]

The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°

Given m∠P = 40°

We know that : Sum of Angles in a Triangle = 180°

⇒ m∠P + m∠M + m∠O = 180°

⇒ 40° + 90° + m∠O = 180°

⇒ 130° + m∠O = 180°

⇒ m∠O = 180° - 130°

⇒ m∠O = 50°

We can notice that m∠O and m∠1 form a Linear Pair (180°)

⇒ m∠O + m∠1 = 180°

⇒ 50° + m∠1 = 180°

⇒ m∠1 = 180° - 50°

⇒ m∠1 = 130°

Last Option is the Answer

6 0

3 years ago

Quanto é: xa + xb + ta + tb? Por Favor ALGUÉM ME AJUDA preciso muito!

lesantik [10]

Seja E a expressão que queremos calcular:

$E=xa+xb+ta+tb\\\\
E=x(a+b)+t(a+b)\\\\
\boxed{E=(x+t)(a+b)}$

8 0

3 years ago

If 10+9=21 than is 1+1= 2?

Andre45 [30]

I guess so, no wait no it’s not jk lol

4 0

3 years ago