1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
3 years ago
10

El cuadruple de un número aumentado en 2 es menor igual a 50

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

4\cdot x + 2 \leq 50. La solución de la inecuación es todo número real menor o  igual a 12.

Step-by-step explanation:

El primer paso consiste en traducir la expresión en una expresión algebraica:

1) Un número: x

2) El cuádruplo de un número: 4\cdot x

3) El cuádruplo de un número y aumentado en 2: 4\cdot x + 2

4) El cuádruplo de un número y aumentado en 2 es menor o igual que 50: 4\cdot x + 2 \leq 50

Como siguiente paso, se resuelve la inecuación por métodos algebraicos:

1) 4\cdot x + 2 \leq 50 Dado

2) 4\cdot x \leq 48 Compatibilidad con la adición/Existencia del inverso aditivo/Modulatividad en la adición.

3) x \leq 12 Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Modulatividad en la multiplicación/Resultado.

En consecuencia, la solución de la inecuación es todo número real menor o  igual a 12.

You might be interested in
justin paid $1,185 in sales tax on her new car. The car cost $15,800 before taxes. What percent was the sales tax rate?
soldi70 [24.7K]

Answer:

The percentage is 7.5%

7 0
3 years ago
Can someone help me find x please
a_sh-v [17]

Answer:

38.7°

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where

SOA stands for

Sin Ф = opposite side/hypotenuses side

CAH stands for

Cosine Ф = adjacent side/hypotenuses side

TOA stands for

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side

hence

Tan x = 8/10

Tan x = 0.8

x = tan -1 0.8

= 38.7°

4 0
3 years ago
An item is priced at $80. It is on sale for 20% off the regular price. What is the sale price?
Masja [62]
Regular Pirce = $80.

Discount = 20%

Discount = 20% x $80 = 0.2 x 80 = $16

Sale Price = 80 - 16 = $64

----------------------------------------------------
Answer: The Sale Price is $64.
----------------------------------------------------
4 0
3 years ago
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 58 in, find its length and width
dolphi86 [110]

Answer:

  • Length = 17 inches

  • Width = 12 inches

⠀

Step-by-step explanation:

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 58 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, <u>According to the Question :</u>

⠀

{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{2 ( 2x + 5  )= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x + 10= 58 }}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 58  - 10}}}}

⠀

{\longrightarrow \qquad { {\sf{ 4x = 48}}}}

⠀

{\longrightarrow \qquad { {\sf{ x =  \dfrac{48}{4} }}}}

⠀

{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 12}} }}} }\:  \:  \bigstar

⠀

Therefore,

  • The width of the rectangle is 12 inches .

⠀

Now, We are to find the length of the rectangle:

{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 12 + 5 }}}}}

⠀

{\longrightarrow \qquad{ { \frak{\pmb{Length = 17}}}}}

⠀

Therefore,

  • The length of the rectangle is 17 inches .

⠀

8 0
2 years ago
Read 2 more answers
Find the surface area of the pyramid.
Sphinxa [80]

SA= a+1/2(p)(h)

SA= 18+1/2( 18)(5.2)

SA= 18+46.8

SA=64.8

4 0
3 years ago
Other questions:
  • 6. Dele charged $30 for shovelling snow for 2 1/2 hours. At that rate how much can Dale expect to eam
    6·1 answer
  • Line segment L N is tangent to circle O at point M and QM is a diameter.
    10·2 answers
  • A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number o
    10·1 answer
  • Shelly and her family are riding the Pikes Peak Cog Railway. The table shows the approximate distances the train has covered at
    5·1 answer
  • Which statements are true regarding the expression below? Check all that apply. 8 Superscript negative 1 Baseline times 8 Supers
    11·2 answers
  • What is the slope of any line parallel to line containing (-5,2)&amp;(1,8)
    6·1 answer
  • HELP MEEEEEEEEEEEE WHAT IS THE HIGH TEMP​
    7·1 answer
  • Help me with this i dont really get it
    8·1 answer
  • Help please : (<br><br>convert 10.0 cm into in​
    8·2 answers
  • A ten pound bag of cherries cost $33.50. How much is one pound of cherries?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!