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Pepsi [2]
3 years ago
8

What is the constant of proportionality? 48= 4k

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

The constant of proportionality is 12.

Step-by-step explanation:

Let's take a look at the formula give to us:

48=4k

First, we have to isolate the variable, K, by dividing 4 on both sides.

48/4=4/4 k

48/4=12

12=k

We can check the answer by plugging it back into the equation:

12*4=48

48=48

Hence, the variable k equals 12.

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At 7-11, I get my change from a Slurpee in all nickels and pennies. If I get $0.87 in change, and a total of 31 coins, how many
Elena-2011 [213]

Given:

The change all in nickels and pennies.

Let the number of nickels = x

Let the number of pennies = y

Total coins = 31

so, x + y = 31

1 nickel = 5 cents

1 penny = 1 cent

The change = $0.87 = 87 cents

so, 5x + y = 87

so, we have the following system of equations:

\begin{gathered} x+y=31\rightarrow(1)\times-1 \\ 5x+y=87\rightarrow(2) \\ ------------- \\ (5x-x)+(y-y)=87-31 \\  \\ 4x=56 \\  \\ x=\frac{56}{4}=14 \\  \\ y=31-14=17 \end{gathered}

So, the number of nickels = x = 14

And the number of pennies = y = 17

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1 year ago
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Dialation means to shrink something of the original size
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y2 -y1/x2-x1=gradient

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7/-2

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2 years ago
Simplifying Algebraic Expressions ; 7+9(-6+8)
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Start by multiplying the 9 out:

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Then, add the 7:

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7 0
3 years ago
A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole num
zaharov [31]

Answer:

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Step-by-step explanation:

a=starting value = 20000

r=\text{rate = }4\% = 0.04

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\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.04=1.04

b=1+r=1+0.04=1.04

\text{Write Exponential Function:}

Write Exponential Function:

y=20000(1.04)^x

y=20000(1.04)  

x

 

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=20000(1.04)^{6}

y=20000(1.04)  

6

 

y= 25306.38037

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