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Alja [10]
3 years ago
6

(14 + 8) = 2 - 10 1 2 3 4 56666666666656​

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

22?

Step-by-step explanation:

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8m + 5n for m= 3 and n=-5
sasho [114]

Answer:

- 1

Step-by-step explanation:

8m + 5n

8(3) + 5(- 5)

24 + (- 25)

24 - 25

- 1

6 0
3 years ago
Read 2 more answers
Tell whether x and y show direct variation.Explain your reasoning.If so, find k #3
WINSTONCH [101]

Answer:

x and y do not show direct variation.  

Step-by-step explanation:

The formula for direct variation is

y = kx     Divide each side by y

k = y/x

k should have the same value for every point except, of course, (0,0)

For the first point,

k = 2/(-1) = -2

For the third point,

k = 2/1 = 2

The values of k are different, so x and y <em>do not</em> show direct variation.

7 0
4 years ago
Read 2 more answers
The point A(-3,5) and the point B(1,-15) lie on the line L. Find the equation of the line L.
Shkiper50 [21]
(-3,5)(1,-15)
slope = (-15 - 5) / (1 - (-3) = -20/4 = -5

y = mx + b
slope(m) = -5
use either of ur points...(-3,5)...x = -3 and y = 5
now we sub and find b, the y int
5 = -5(-3) + b
5 = 15 + b
5 - 15 = b
-10 = b
so ur equation is : y = -5x - 10....or 5x + y = -10
7 0
4 years ago
Given the volume of Figure A is 512cm ^3and Figure B is 343cm^3, find the ratio of the perimeter from Figure A to Figure B.
sp2606 [1]

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{\textit{figure A}}{\textit{figure B}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{512}}{\sqrt[3]{343}}\qquad \begin{cases} 512=&2^9\\ &2^{3\cdot 3}\\ &(2^3)^3\\ 343=&7^3 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{(2^3)^3}}{\sqrt[3]{7^3}} \\\\\\ \cfrac{s}{s}=\cfrac{2^3}{7}\implies \cfrac{s}{s}=\cfrac{8}{7}\implies s:s = 8:7\impliedby \textit{ratio of the }\stackrel{sides~and}{perimeters}

5 0
4 years ago
Assume that cigarettes cost $7 per pack and consider a 21 year old college student smoker who smokes 15 packs of cigarettes per
stepladder [879]

Answer:

The answer is $57657.6

Step-by-step explanation:

First, you must determine the amount of money the student saves per month. To do this, the number of cigarette packages she smokes is multiplied by the price she pays for them.

<u><em>Per month:</em></u> 15 packs*$7 each packet=<em>$105</em>

This means that per month she save $ 105.

Now you must determine the amount of money saved per year, knowing that in a year there are 12 months. Therefore, you make a simple rule of three: If in a month you save $ 105, how much money do you save in 12 months?

<em>Per year:</em> \frac{105*12months}{1 month} =1260

This means that per year she save $ 1260. And she each month invests the amount she would have spent on cigarettes in a savings plan that averages a 4% annual return. This means that in addition to saving $ 1260 per year, she gets 4% annually. For this you must first know how much 4% equals. For that you must keep in mind that to obtain a percentage in decimals, you must divide by 100. Then 0.04 represents 4%.

Now, to get the annual return of the savings plan you multiply the percentage by the amount invested in the plan. And to determine the total amount of money she save in a year with this plan, you add the amount invested plus the annual return. All this is:

0.04*$1260+$1260=$1310.4

<em>This means that finally per year she save $ 1310.4 with the annual return.</em>

You know that between 65 and 21 years of age of the student, there is a difference of 44 years, obtained by calculating 65 years minus 21 years. Then you can make a simple rule of three to determine the amount of money saved during those 44 years:if in one year the student save $1310. 4, how much money do she save in 44 years?

\frac{1310.4*44 years}{1 year} =57657.6

So, finally, <u><em> she will have saved $ 57657.6 by the time she is 65</em></u>

<u><em /></u>

5 0
3 years ago
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