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lakkis [162]
3 years ago
8

3x-2y=8 and 0.5x+y=17

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

2y is in the first equation so if you change 0.5x+y=17 to y=17-0.5x and then double it to 2y=34-x, you can  substitute and find x. And then you can find out y.

How to find x:

0.5x+y=17

y=17-0.5x

2y=34-x

3x-2y=8

3x-34-x=8

<u>x=21</u>

How to find y (with previous info.)

x=21

3x-2y=8

3*21-2y=8

63-8=2y

55=2y

<u>27.5=y</u>

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gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

x - 13 ≥ -4

Step 1: Add 13 to both sides

x - 13 + 13 ≥ -4 + 13

Add -4 and 13 to get 9.

x ≥ 9

#3 Work:

x/2 > -1

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same

x/2 * 2 > -1 * 2

x > -2

5 0
3 years ago
How to solve <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20x%20%7B%7D%5E%7B2%7D%20%20%3D%20x%20%2B%202" id="TexFormu
Vikentia [17]

Answer:

➩ x=2,-\frac{2}{3}

Step-by-step explanation:

\sqrt{4x^2}=x+2

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

\sqrt{4x^2}=|2x| ➩ Define of Absolute Value/Square Root

➩ \sqrt{x^2}=|x|

Thus, our new equation is ➩ |2x|=x+2

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

2x=x+2\\

Move x to another side

2x-x=2\\x=2

➨ Where x < 0

-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}

3 0
3 years ago
Algebra 2...can someone tell me how to do this???
crimeas [40]

Use the 2 dots on the line located at (0,1) and (-3,0).


The slope is the change in Y over the change in X:


Change in Y = 0-1 = -1

Change in X = -3 - 0 = -3

Slope = -1 / -3 = 1/3

They intercept in this case is Y1 which = 1.


The equation is y = 1/3x + 1


3 0
4 years ago
01. En una piscigranja el 30% de boquichicos es el 20% del número de carachamas. Si sólo hay boquichicos y carachamas. ¿Qué porc
Simora [160]

Answer:

0.1. B) 50%

0.2 A) Psicología

Step-by-step explanation:

01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;

Dado que el 30% de los boquichicos es el 20% del número de carachamas

30% x = 20% y

∴ 0.3 · x = 0.2 · y

Por lo tanto, tenemos;

x / y = 0,2 / 0,3 = 2/3

Por lo tanto, por cada 100% de pescado, tenemos;

x + y = 100%

x = 2/3 · y

2/3 · y + y = 100%

5 · años / 3 = 100

y = 100 × 3/5 = 60%

El porcentaje de carachamas en la finca, y = 60%

∴ x = 100% - y = 100% - 60% = 40%

El porcentaje de boquichicos en la finca, x = 40%

Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;

Si hay 100 peces en la granja, 80% = 80 peces

Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces

Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.

La opción correcta es;

B) 50%

02. Tenemos;

El costo de un libro de psicología> El costo de un libro en inglés

El costo de un libro de matemáticas> El costo de un libro de historia

El costo de un libro de psicología> El costo de un libro de matemáticas

Por lo tanto, tenemos;

El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia

∴ El libro de Psicología es más caro que todos los demás libros y, por tanto, es el libro más caro

La opción correcta es;

A) Psicología

3 0
3 years ago
6
aliina [53]

Step-by-step explanation:

please write clearly and row wise understand problem

6 0
3 years ago
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