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3 years ago

Theresa bought 2 pineapples for $6 what’s the constant of proportionality

2 answers:

7 0

$\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{c}osts of pineapples is proportional to the \underline{a}mount of pineapples}}{c=ka}
\\\\\\
\textit{we also know that }
\begin{cases}
a=2\\
c=6
\end{cases}\implies 6=k2\implies \cfrac{6}{2}=k\implies 3=k$

Illusion [34]3 years ago

5 0

The answer is $3

<em /><em>Explanation:
</em>In order for it to be proportional, they need to have an equal amount.

$6 / 2 = $3

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A circular post in a cafeteria has a diameter of 3 feet. Which of these is

timurjin [86]

Answer:

9.42 feet

Step-by-step explanation:

The circumference is π × diameter.

3.14 × 3 = 9.42

The circumference of the circular post is 9.42 feet.

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4 years ago

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3 years ago

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The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2). The answe is x_ _= somethin

guapka [62]

First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)

Next find the slope of the segment 1,0 and 5,-2 using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y.

The slope is 4/2 or 2
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2

Now plug in the coordinate (3, -1) to find the y-intercept and the equation of that line will be complete

so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b

The final equation will be -1/2x + 0.5 =y

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4 0

3 years ago

DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If

Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

nCr = n! / (n-r)!r!

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0

3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

$5^{-2x-1}=4^{4x+3}$

$\log(5^{-2x-1})=\log(4^{4x+3})$

$(-2x-1)\log(5)=(4x+3)\log(4)$

$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

$x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}$

Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0

4 years ago