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Aleonysh [2.5K]
4 years ago
9

Find the constant of proportionality for the table and write in the form y = kx.

Mathematics
1 answer:
atroni [7]4 years ago
6 0

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

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You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without replacing the bil
castortr0y [4]
<h2>Greetings!</h2><h3>To find the first probability, you first find the amount of $10 bills and the total amount. Then you can put this into a fraction:</h3>

\frac{2}{9}

<h3>Now, do the same but for the total amount, be sure to remove 1 because you have not returned the first one picked. Now find the amount of $1 bills too:</h3>

\frac{3}{8}

<h3>Now you have two fractions of two consecutive events, now just simply multiply the two together:</h3>

\frac{2}{9} x \frac{3}{8} = \frac{6}{72}

<h3>Now as both numbers are factors of 6, both can be divided by 6 to get a simplified probability:</h3>

\frac{6}{72} ÷ 6 = \frac{1}{12}

<h3>So P($10 then $1) = \frac{1}{12}</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
What is the sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of
iVinArrow [24]

Answer:

The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240

Step-by-step explanation:

Given:  

Net income= $5000

sales price= $40

variable cost =$15 and $1000

To Find:

sales of volume V=?

Solution:

We Know that  

\text {Income}=40 * x

Where x=  number of units sold

Similarily,  

\text { Net Income }=40 \mathrm{x}-\text { VARIABLE } \cos \mathrm{T} * \mathrm{x}-1000

Substituting the known values,

\text { Net Income }=40 \mathrm{x}-\text{VARIABLE COST} * \mathrm{x}-1000

5000=40 \mathrm{x}-15 * \mathrm{x}-1000

Sloving the equation,

5000=40 \mathrm{x}-15 \mathrm{x}-1000

5000=25 \mathrm{x}-1000

5000+1000=25 \mathrm{x}

6000=25 \mathrm{x}

x=\frac{6000}{25}

x=240

 

5 0
3 years ago
How many total roots are must there be in this function explain how you know<br> H(x)=x3-7x2-x+7
Leona [35]

Answer:

total 3 roots,

How do I know?:

put this function in graphing calculator

And if you don't have a graphing calculator, then calculate it out bu yourself:

(x + 1)(x − 1)(x − 7) = 0

3 0
4 years ago
Solve the question in the picture below. Thank you.
xxTIMURxx [149]
The answer is 8 units. Hope this helps:)
7 0
3 years ago
Read 2 more answers
If Y varies directly as X and Y= 79 when X= 49, Find Y if X = 9
ryzh [129]

Answer:

y = 14.5

Step-by-step explanation:

given that y varies directly as x

mathematically,

y ∝ x

y = kx .............................................. where k is the constant of proportionality.

k = y /x

given that

y = 79

x = 49

k = 79/49

k = 1.61

to find y when x = 9

from

y = kx

y = 1.61 × 9

y = 14.5

therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5

7 0
3 years ago
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