3x+y=15 5x-4y=8

resolucion de sistema por el metodo de sustitucion

Answers

Answer 1
Answer:

Answer:

x=4

y=3

Step-by-step explanation:

we have the following equations

3x+y=15  equation 1

5x-4y=8  equation 2

using equation 1 we have:

y=15-3x equation 3

using equation 3 in equation 2 we have:

5x-4(15-3x)=8

5x-4*15+4*3x =8

5x-60+12x = 8

17x=68

x=68/17

so we have x=4

finally in equation 3:

y = 15-3(4)

y = 15-12

y = 3


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Mason is going to have a lemonade stand. His Aunt buys him 10 lbs. of Lemons. if he sells each cup for a quarter,how many cups does he need to sell to pay her back?The Price of 1 lb. of Lemons is $0.89. I have already did 0.89 x 10 which gives me 8.90. Please Help

The area of the quadrilateral shown is 252 square inches. What is the perimeter? (the width is 16.8 inches)

A. 61.8 inches
B. 31.8 inches
C. 63.6 inches
D. 67.2 inches

Answers

Answer:

The answer is 63.6 in^2

Step-by-step explanation:

In order to determine the area of the quadrilateral, we have to know the values of its sides. The area of the quadrilateral is:

A=a*b

a= length of the quadrilateral

b=width of the quadrilateral

We know the area and the width of the quadrilateral, so we can determine its length:

252=a*16.8\na=(252)/(16.8)\na=15

Then, the perimeter of the quadrilateral is:

P=2*a+2*b

P=2*15+2*16.8

P=63.6

Finally, the perimeter is 63.6 in^2

C. 63.6 inches

That is because to find the length of the quadrilateral do this since you already know the width of the polygon:

252/16.8 = 15

Now that we know the length do this since this is the formula to find the perimeter or for me I would just 2x:

2(16.8) + 2(15) =

33.6 + 30 = 63.6

The perimeter of the quadrilateral is 63.6 inches

ciante planted 8 rows of Apple trees. there were 15 trees in each row. how many trees did she plant ?

Answers

8 rows * 15 trees in each row =
8*15=
120

5/6 - 2/6 in simplest form

Answers

(5)/(6)-(2)/(6)=(3)/(6)=(1)/(2)
(5)/(6)- (2)/(6)= ((5-2))/(6)= (3)/(6)= (1)/(2)

$3 a minute equals what an hour

Answers

$3 per minute = $180 per hour. Because there are 60 minutes in an hour, 3 x 60 = 180.
$3 a minute equals what a hour?
CORRECT ANSWER: $180
CORRECT SOLUTION: There is 60 minutes in a hour so 60×3=180

If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park? Explain. Please if you know this is please tell me right away! Thank you for your participation even though you got the answer wrong!

Answers

"If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park" its 2.45 acres.

The measurement of radioactive decay can be useful tool in things such as Carbon-dating. For a carbon sample with mass 500kg and a half life of 5,730 years, calculate the remaining mass after 20,000years.

Answers

\bf \textit{Amount for Exponential Decay using Half-Life} \n\n A=P\left( (1)/(2) \right)^{(t)/(h)}\qquad \begin{cases} A=\textit{accumulated amount}\n P=\textit{initial amount}\dotfill &500\n t=\textit{elapsed time}\dotfill &20000\n h=\textit{half-life}\dotfill &5730 \end{cases} \n\n\n A=500\left( (1)/(2) \right)^{(20000)/(5730)}\implies A\approx 0.00000001555302367~Kgs