Solve
28 - K _> 7(K - 4)

Answers

Answer 1

Answer:

Solving the inequality [tex]28-K\geq 7(K-4)[/tex], we get [tex]\mathbf{K\leq 7}[/tex]

Step-by-step explanation:

We need to solve the inequality [tex]28-K\geq 7(K-4)[/tex]

Using the BODMAS rule, first we will solve the bracket:

[tex]28-K\geq 7(K-4)\\28-K\geq 7K-28[/tex]

Now, we will subtract 28 from both sides

[tex]28-K-28\geq 7K-28-28\\-K\geq 7K-56[/tex]

Subtracting -7k on both sides

[tex]-K-7K\geq 7K-56-7K\\-8k\geq -56[/tex]

Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.

[tex]\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7[/tex]

So, solving the inequality [tex]28-K\geq 7(K-4)[/tex] we get [tex]\mathbf{K\leq 7}[/tex]


Related Questions

CAN SOMEONE PLEASE HELP ME

Answers

Answer:

what are the answers

Step-by-step explanation:

Answer:

dialation of 3

Step-by-step explanation: it gets 3x bigger

A geometric sequence has u4= -70 and u7=8.75
Find the second term of the sequence.

Answers

Answer:

-122.5

Step-by-step explanation:

Difference = 7 - 4 = 3 terms; 8.75 - (-70) = 78.75

1 term → 78.75/3 = 26.25

therefore, u2 = - 70 - 2(26.25) = -122.5

Topic: Patterns + Common difference

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no bailan en un determinado momento. Si en ese instante se escoge un varón al azar, ¿cuál es la probabilidad que no este bailando si 5 mujeres están bailando?

Answers

Answer:

50%

Step-by-step explanation:

Para resolver este problema vamos a definir 4 variables:

V= número de varones bailando.

M= número de mujeres bailando.

V' = número de varones que no están bailando.

M' = número de mujeres que no están bailando.

Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:

V+M+V'+M'=40

Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)

Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:

5+5+V'+M'=40

y simplificamos:

10+V'+M'=40

V'+M'=40-10

V'+M'=30

Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:

V'=2M'

Y podemos despejar el número de mujeres que no bailan, lo que nos da:

[tex]M'=\frac{V'}{2}[/tex]

Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:

[tex]\frac{V'}{2}+V'=30[/tex]

y podemos entonces despejar V'

[tex]\frac{3V'}{2}=30[/tex]

[tex]V'=\frac{2(30)}{3}[/tex]

V'=20

Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:

[tex]P=\frac{V'}{total}[/tex]

[tex]P=\frac{20}{40}=\frac{1}{2}[/tex]

P=50%

THE FIRST PERSON TO ANSWER MY QUESTION GETS BRAINLEST!!!!!!!ASAP!!!!!

A city councilman created a scale model of the city hall. The councilman used the scale 1 inch: 8 feet to create the scale model of city hall. The actual hall is 56 feet long.

What is the length of the scale model of city hall?

Enter your answer in the box.

Answers

Answer:

7 inches

Step-by-step explanation:

56 divide by 8

Hope this helps.

PLEASEEEE HELPPPPP♥️♥️♥️​

Answers

Answer:

I believe its A !

Explanation:

Since one angle and one side are given, a different angle can prove that its ≅

You would be using ASA

Which test point holds true for y-2xs 1?
O A.
(0, 2)
O B.
(-2, 4)
O C.
(1,4)
OD.
(5, 0)

Answers

Answer:

its d

Step-by-step explanation:

have a nice day

HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

If you are in calculus, then you would apply the derivative to get

h(x) = x^2 - 2x + 3

h ' (x) = 2x - 2

The gradient, or slope of the tangent line, is negative when the derivative is negative.

So we need to solve h ' (x) < 0.

h ' (x) < 0

2x-2 < 0

2x < 2

x < 2/2

x < 1

Any x value smaller than x = 1 will lead to a negative gradient.

-----------------------------------

If you are not in calculus, then you can determine the vertex of the function

Note that y = x^2 - 2x + 3 is in the form y = ax^2 + bx + c with

a = 1

b = -2

c = 3

The x coordinate of the vertex is

h = -b/(2a)

h = -(-2)/(2*1)

h = 1

The x coordinate of the vertex is x = 1. Anything to the left of this will represent a negative gradient. This is because the given parabola opens upward (note how a = 1 is positive).

The graph goes downhill on the interval [tex]-\infty < x < 1[/tex] and it goes uphill on the interval [tex]1 < x < \infty[/tex] as shown below.

Determine the number that can be used in place of the question mark to make the equation true.

(1/5)^?= 25
The solution is

Answers

(1/5)^x = 25
x = -2
Since when it’s a fraction, the result is negative.
The solution is -2

1.6 is 8% of what???

Answers

Answer:

It would be 20!

Step-by-step explanation:

Answer:

1.6 is 8% of 20

Step-by-step explanation:

(m 5/6) (m1/6) ^7 = m^x

Answers

Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

Which theorem is used here
SAS
ASA
AAS
SAS
HL​

Answers

Answer:

ASA i believe

Step-by-step explanation:

there are two angles that are equal then two sides then vertical angles

Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3 PLEASE HELP! :(

Answers

Answer:

22nd term is 81

Step-by-step explanation:

In order to find the answer to this question you have to realize that the common difference is the rule the arithmetic sequence goes by, so all you have to do is add four to three, twenty two times or multiply the first term by

[tex]a =3[/tex]

[tex]d=4[/tex]

[tex]3+4=7+4=11+4=15+4=19+4=23+4=27+4=31+4=35+4=39+4=33+4=37+4=41+4=45+4=49+4=53+4=57+4=61+4=65+4=69+4=73+4=77+4=81[/tex]

[tex]a=81[/tex]

Hope this helps.

The equation of a curve is y = a^x
Q is the point where the curve intersects the y-axis.
Write the coordinates of Q.​

Answers

Answer:

Q(0, 1 )

Step-by-step explanation:

To find where the curve crosses the y- axis let x = 0 in the equation and evaluate for y, that is

x = 0 → y = [tex]a^{0}[/tex] = 1 , thus

Q(0, 1 )

If the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to find coordinates?

We have been given an equation y=[tex]a^{x}[/tex]and we have to find the coordinates of point Q which is the point where the line touches y axis. When a line touches the y axis, it's x coordinate will be zero. So in order to find the y coordinate we have to just put x=0 in the given equation.

y=[tex]a^{x}[/tex]

y=[tex]a^{0}[/tex]

y=1 (We know that something of power 0 is equal to 1)

Hence if the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).

Learn more about equations at https://brainly.com/question/2972832

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Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?

Answers

Answer:

The puppy's adult weight would be 25 lbs.

Step-by-step explanation:

5 / .20 = 25

To check:

25 x .20 = 5

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)

If AB is rotated 180 degrees clockwise about a point not on the line AB then which of the following statements about its image, A B' ', is true?
(1) AB and A'B' have the same lengths and are perpendicular
(2) AB and A B' ' have different lengths and are perpendicular
(3) AB and A B' ' have the same length and are parallel
(4) AB and A B' ' have different lengths and are parallel

Answers

Answer:

I think the answer is 3

Step-by-step explanation:

In the figure below, 7 ||
m. Find x.

Answers

Answer:

96

Step-by-step explanation:

Cost of a New Car From 1970 to 1990, the average cost of a new car, C

(in dollars), can be approximated by the model C = 30.512 + 4192, where

t is the number of years since 1970. During which year was the average

cost of a new car $12,000?

Answers

Answer:

In year 1986 the average  cost of car is  $12,000

Step-by-step explanation:

Cost function:

C = 30.5t² + 4192

Cost = $12,000

Find:

Year

Computation:

C = 30.5t² + 4192

12,000 = 30.5t² + 4192

t = 16 year

So,

Year 1970 + 16 year

1986

So, In year 1986 the average  cost of car is  $12,000

15 is 1 1/2% of what number

Answers

Answer:

the answer is 23.

Step-by-step explanation: 20/15=1.5333333333......=1  1/2

The number is given by equation A = 1000

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

15 is 1 1/2 % of the number A

Substituting the values in the equation , we get

15 = 1.5 % of A

On simplifying the equation , we get

15 = ( 1.5 / 100 ) x A

Multiply by 100 on both sides of the equation , we get

1.5A = 1500

Divide by 1.5 on both sides of the equation , we get

A = 1500/1.5

A = 1000

Therefore , the value of A is 1000

Hence , the number is 1000

To learn more about equations click :

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Which of the following inequalities is not true?

|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0

Answers

Answer:

Sorry i don't know the answer but which class question is this

is this graph a function?
a. this is a function
b. this not a function
c. this cannot be determined from this graph

Answers

Answer:

A.This is a function

Step-by-step explanation:

Answer:

a. this is a function

Step-by-step explanation:

Coz If any vertical line intersects a graph more than once, the relation represented by the graph is not a function. SO THIS IS A FUNCTION.

Can y’all help me with dis question

Answers

Answer:

A i'm pretty sure

Step-by-step explanation:

The answer is A. I hope this helps you and you do well!!

What expression is equivalent to 5(n+5)

Answers

Answer:

10n

Step-by-step explanation:

5n + 25 is equivalent

whats 80000000000000x200000004500

Answers

Answer:

80000000000000x200000004500 =

1.6e+25 which is essentially 1.6 with 25 0's after it

Step-by-step explanation:

May I have brainliest please? I'm trying to get 15 and I'm so close :)

How can I solve this?

Answers

Answer:

? = 130°

Step-by-step explanation:

The sum of all angles inside a triangle is always 180°.

180 - 20 - 30 = 130°

130° is vertical to the ?, therefore, the ? = 130°

hope this helps :)

click photo
needing help ASAP! Please

Answers

Answer:

[tex]\huge\boxed{y=6x+9}[/tex]

Step-by-step explanation:

In order to put this equation into slope-intercept form, we want to get this into the form [tex]y=mx+b[/tex], where m is the slope (coefficient) and b is the y-intercept.

We already have the equation [tex]y-6x=9[/tex]. Looking at this equation, we can see that we have to get 6x off the left side of the equation and on to the right.

To do this, we can add 6x to both sides. However, if we add 6x to one side we must add it to the other.

So, let’s add 6x to both sides.

[tex]y -6x + 6x = 9 + 6x[/tex]

[tex]y = 9 + 6x[/tex]

We can now rearrange the terms.

[tex]y = 6x+9[/tex]

Hope this helped!

A restaurant needs to set up 7 tables for the 34 member
of a high school science club. The restaurant has tables
that can seat 4 and tables that can seat 6. This system c
equations represents the combination of x, the number of
tables for 4, and y, the number of tables for 6, that will
exactly 34 people.
x + y = 7
4x + 6y = 34
How many tables that seat 6 should be set up?

Answers

Answer: 3 tables of six should be set up

Step-by-step explanation: 3 x 6 equals 18 and 4 x 4 equals 16 so you add those up and it equals 34 and with all seven tables

Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m

Answers

Answer:

D

Step-by-step explanation:

[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]

[tex]c = \sqrt{36 + 64} [/tex]

[tex]c = \sqrt{100 } [/tex]

[tex]c = 10[/tex]

Pythagorean theorem

It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Explain what the equation -4h = -14 represents.
_______________
What value of “h” makes this equation true?
_______________

Answers

Answer:

-4x3.5=-14

Step-by-step explanation:

divide -14 by -4 wich = 3.5

- 4x3.5= - 14

Explanation : if you divide - 14 with - 4 it equals to 3.5
Sorry if I get this wrong

Determine the slope given the two points:
(4, 9) and (1,6)

Answers

Answer:

slope is 1

Step-by-step explanation:

5m + 4/5
=7 solve pls give step by step

Answers

5m + 4/5 = 7

=> 5m = 7 - 4/5

=> 5m = 35/5 - 4/5

=> 5m = 31/5

=> m = 31/5×5

=> m = 31/25

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