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GrogVix [38]
3 years ago
15

Which of these numbers is a solution for 12 - X < 7​

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

Answer:

x > 5

Step-by-step explanation:

Please:  If possible answers are given, share them.

To solve 12 - X < 7​, add x to both sides, so that x is positive:

12 < x + 7

Now subtract 7 from both sides, to isolate x:

5 < x or x > 5

galben [10]3 years ago
5 0

Answer:

x > 5

Step-by-step explanation:

12 - x < 7

i) move constants to the right-hand side and change its sign

- x < 7 - 12

ii) calculate the difference

- x <  - 5

iii) change the signs on both sides of the inequality and flip the inequality sign

x > 5

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What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6
lord [1]

Answer:

<h2>x = -8 and y= 0 → (-8, 0)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{4}x+2&(1)\\3y=-\dfrac{3}{4}x-6&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3\left(\dfrac{1}{4}x+2\right)=-\dfrac{3}{4}x-6\qquad\text{use the distributive property}\\\\(3)\left(\dfrac{1}{4}x\right)+(3)(2)=-\dfrac{3}{4}x-6\\\\\dfrac{3}{4}x+6=-\dfrac{3}{4}x-6\qquad\text{subtract 6 from both sides}\\\\\dfrac{3}{4}x=-\dfrac{3}{4}x-12\qquad\text{add}\ \dfrac{3}{4}x\ \text{to both sides}\\\\\dfrac{6}{4}x=-12\qquad\text{multiply both sides by 4}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8

\text{Put the value of x to (1):}\\\\y=\dfrac{1}{4}(-8)+2\\\\y=-2+2\\\\y=0

7 0
3 years ago
Se ha decidido repoblar con 150 000 árboles una zona asolada por un incencio. Se quieren plantar los árboles formando un cuadrad
Dmitrij [34]

Responder :

Se plantarán 149769 árboles

Explicación paso a paso:

Dado que:

Número de árboles a plantar = 150.000

Los árboles deben disponerse para formar un cuadrado;

La cantidad de árboles que se pueden plantar para hacer el cuadrado más grande posible:

Área de un cuadrado = s²

Dónde; s = Longitud de cualquier lado; ya que todos los lados son iguales.

El mayor número de árboles que se pueden plantar es el cuadrado perfecto más alto hasta 150.000.

Esto se puede obtener tomando la raíz cuadrada de 150000

Cuadrado (150.000)

= 387,29833

El cuadrado del número entero da el valor cuadrado perfecto más alto antes de 150 000

Por lo tanto,

s = 387 =; 387

Cantidad total de árboles; s² = 387² = 149769

3 0
3 years ago
WILL MARK BRAINLIEST! PLEASE HELP ME UNDERSTAND THIS!
rjkz [21]

Answer:

9,065,738

Step-by-step explanation:

(3.8^3)^4

^ = exponents

(3.8^{3} )^{4}

Now lets do the parenthesis first

3.8 * 3.8 * 3.8 = 54.872

(54.872)^{4}

54.872 * 54.872 * 54.872 * 54.872 = 9,065,737.908494995

We can round that up to

9,065,738

Hope this helped!

Have a supercalifragilisticexpialidocious day!

8 0
3 years ago
Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
ale4655 [162]
I think if u add 364+348 you will get 712
4 0
3 years ago
Read 2 more answers
A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is
harkovskaia [24]

Answer: h=5.66ft

Step-by-step explanation:

Observe the picture attached.

Find the value of "x" and "y" using the Pythagoren Theorem:

a^2=b^2+c^2

If you solve for "a":

a= \sqrt{b^2+c^2}

Where "a" is the hypotenuse and "b" and "c" are the legs.

In this case, for "x" you know that:

a=x\\b=8ft\\c=2ft

Then, the value of "x" is:

x=\sqrt{(8ft)^2+(2ft)^2}\\\\x=8.24ft

For "y" you can see that:

a=10ft\\b=8.24ft\\c=h

Subsituting values and solving for h, you get:

(10ft)^2=(8.24ft)^2+h^2\\\\h=\sqrt{(10ft)^2-(8.24ft)^2} \\\\h=5.66ft

3 0
4 years ago
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