Solve the inequality 4(k − 5) + 12k ≥ −4

Answers

Answer 1

Answer:

k ≥ 1

Step-by-step explanation:

Step 1: Write inequality

4(k - 5) + 12k ≥ -4

Step 2: Solve for k

Distribute 4: 4k - 20 + 12k ≥ -4Combine like terms: 16k - 20 ≥ -4Add 20 to both sides: 16k ≥ 16Divide 16 on both sides: k ≥ 1
Answer 2
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
k

1
k

1
Interval Notation:
[
1
,

)
[
1
,

)

Related Questions

Laine Is making fruit salad recipe calls for half cup shredded coconut lane has only 1/4 cup measure how can she measured the correct half cup amount

Answers

Answer:

she has to pour 1/4 cup two times

Step-by-step explanation:

The value of y varies directly with x. When y=2 What is the value of y when x is? 0 1 0 29 7 0 31 0 3 34​

Answers

Answer:

3

Step-by-step explanation:

A scoop of ice cream in the shape of a whole sphere sits in a right cone The radius of the ice cream scoop is 3.0 cm and the radius of the cone is 3.0 cm
b. How tall must the height of the cone be to fit all the ice cream without spilling if it melts? show all your work​

Answers

d

the a. isn't part sorry

Round 9000000 to one decimal

Answers

Step-by-step explanation:

9000000 could be writen as 9*(10^6)

help!! 100 points! (IF SPAM I WILL REPORT YOU AND IF YOU WANT POINTS TYPE FRE ANSWERS IN SEARCH)

Answers

Answer:

Step-by-step explanation:

Part A

Area of a rectangle = length x width

Garden area = 7 3/4 x 2 2/3

= 31/4 x 8/3

= 62/3

= 20 2/3 square feet

Part B

5/8 of the area = 62/3 * 5/8

= 31*5 / 3*12

= 155 / 36

= 4 11/36

The question asks to do so without calculation - the only way is that because the length is approximately 8 feet, section off 5 feet along the length will give an area approximately 5/8 of the total area.

Julian is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate the present. How many inches of ribbon does he have left now?
inches

Answers

Answer:

63 inches

Step-by-step explanation:

1 yard = 36 inches

2 yards = 72 inches

72-9=63

63 would be the answer for this question.

Find and describe the mistake in this equation. can someone help

Answers

Answer:

i think it would be -14 + 2y so the mistake was making the 2y negative

Step-by-step explanation:

Negative times negative = positive

Answer: The distribution of -2(7 - y) is incorrect. They came out with -14 -2y.

It should have been -14 + 2y

At the end, it would have been a division by +2 , so the solution would be y=3

Step-by-step explanation:

The product of multiplying a negative number by a negative number is a positive number.

Two straight roads meet at right angles at an intersection. A car is traveling due
south towards the intersection at a constant speed of 60 miles per hour. A second
car is traveling due west towards the same intersection at a constant speed of 70
miles per hour. How fast is the distance between the cars changing at the instant
when the southbound car is 30 miles from the intersection and the westbound car
is 40 miles from the intersection?

Answers

Answer:

A

Step-by-step explanation:

AAAAAAAAAAAAAAAAAAAAA

What is 37.025 written in word form

Answers

Answer:

Thirty-seven and twenty-five thousandths

thirty-seven and twenty-five thousandths

The figure shown is a square with a triangular hole cut into one side. The ratio of the heighth of the
triangle to a side length of the square is 7 to 8. The ratio of the base b of the triangle to the side length of
the square is 1 to 2. If the area of the square is 64 square inches, what is the area of the shaded part of the
square?
b
h
The area of the shaded part of the square is
square inches.

Answers

Answer:it is 50 because you have to subtract the area of the triangle (14) from the area of the square (64)!

Step-by-step explanation: hope this helped love you! -marina mae :)

Consider the line y=7/4x-4.
Find the equation of the line that is perpendicular to this line and passes through the point (8,2)
Find the equation of the line that is parallel to this line and passes through the point (8,2)

Answers

Answer:

[tex]\displaystyle \perp\:y = -\frac{4}{7}x + 6\frac{4}{7} \\ \parallel\:y = 1\frac{3}{4}x - 12[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1¾ becomes −⁴⁄₇, and we move forward:

[tex]\displaystyle 2 = -\frac{4}{7}[8] + b \hookrightarrow 2 = -4\frac{4}{7} + b; 6\frac{4}{7} = b \\ \\ \boxed{y = -\frac{4}{7}x + 6\frac{4}{7}}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 1¾ remains as is as we proceed:

[tex]\displaystyle 2 = 1\frac{3}{4}[8] + b \hookrightarrow 2 = 14 + b; -12 = b \\ \\ \boxed{y = 1\frac{3}{4}x - 12}[/tex]

I am joyous to assist you at any time.

A bag of marbles contains 4 which are red, 4 which are blue and 4 which are green. How many marbles must be chosen from the bag to guarantee that two are the same colour

Answers

Answer:

4

Step-by-step explanation:

There are 3 different colors of marbles, so you can draw 3 marbles where all of them have different colors. When you draw a fourth one, it has to match colors with one of the first 3.

4/5,278 what's the answer

Answers

Answer:

The given Divisor = 4 and Dividend = 5278

1 3 1 9

4 5 2 7 8

4

1 2

1 2

7

4

3 8

3 6

2

The Quotient is 1319 and the Remainder is 2

Step-by-step explanation:

..

(9) A software company estimates that if it assigns x programmers to work on the project, it can develop a new product in T days, where T= 100 – 30.x + 3x^2. How many programmers should the company assign in order to complete the development as quickly as possible?​

Answers

Using the vertex of the quadratic equation, it is found that the company should assign 5 programmers in order to complete the development as quickly as possible.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the time needed for x programmers to finish the project is given by:

T(x) = 100 - 30x + 3x².

Which means that the coefficients are a = 3, b = -30, c = 100. The number of programmers which will minimize the time is given by:

[tex]x_v = -\frac{-30}{6} = 5[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
apples to total fruits?
Be sure to write your answer in lowest terms

Answers

RATIO

[tex] \underline \mathcal{PROBLEM:}[/tex]

» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.

[tex] \underline{ \mathcal{ANSWER:}}[/tex][tex] \blue{ \bold{4:7}}[/tex]

— — — — — — — — — —

[tex] \underline{ \mathcal{EXPLANATION:}}[/tex]

Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,

[tex] \sf \: Apple = \green6 [/tex]

[tex] \sf \: Watermelon = \green 8[/tex]

[tex] \sf \: Total \: Fruits= \green {14 }[/tex]

Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.

_______________∞_______________

Determine whether the underlined number describes a population parameter or a sample statistic. Explain your reasoning. Sixty-five of the 93 passengers aboard an airship survived an explosion Choose the correct statement below.
A. The number is a sample statistic because it is a numerical description of all of the passengers that survived.
B. The number is a population parameter because it is a numerical description of all of the passengers that survived.
C. The number is a population parameter because it describes the people in the airship, which is a subset of all people.
D. The number is a sample statistic because it describes the people in the airship, which is a subset of all people.

Answers

Answer: A. The number is a sample statistic because it is a numerical description of all of the passengers that survived.

Step-by-step explanation:

A population is simply similar items or events that a researcher or an experimenter is interested and wants to carry out an experiment on.

A statistic is simply referred to as the piece of information gotten from the population while a sample statistic is the piece of statistical information which a researcher will be able to get from the statistic.

In this scenario, the number is a sample statistic because it is a numerical description of all of the passengers that survived.

What is the expanded form of the decimal 509.1?

Answers

Answer:

100x5

1x9

.1x1

Step-by-step explanation:

carolina decides to make some bracelets. she pus some beads on a wireto make the bracelets. The wire is 1m in length. Carolina uses 1/4 of the wire for each bracelet. Carolina thinks that each bracelet will use 20cm of wire.Is Caroline correct?​

Answers

Answer:

Yes she is correct :)

Step-by-step explanation:

There are 100 centimeters in 1 meter so we divide the 100 by 20.

The 20 goes into 100 4 times so yes, she will use 1/4 of the wire for each bracelet :)

Have a great day!!

Please rate and mark brainliest!!

At Kroger 10 waffles cost $2.56. what is the unit price for 1 waffle at Kroger?​

Answers

Answer:

I think the answer is 25 cents($0.25)

Step-by-step explanation:

A ternary string is an ordered string of characters which consists of digits (0,1, or 2). For example, the ternary string 2122010 consists of exactly 2 zero's, 2 one's and 3 two's; another ternary string meeting these conditions is 0021221. How many ternary strings are there with exactly 4 zero's, 3 one's and 6 two's?

Answers

The number of ternary strings is an illustration of combination

There are 6227020800 ternary strings with exactly 4 zero's, 3 one's and 6 two's

How to determine the number of strings

Assume the zero's, one's and the two's can take any position in the string

For a ternary string of exactly 4 zero's, 3 one's and 6 two's, the number of characters in the string is 13.

The first 4 zeros can take any of the 13, 12, 11 and 10th positions

The next 3 ones can take any of the 9, 8 and 7th positions

The remaining 6 twos can take any 6! positions

So, the number of strings is:

Strings = 13* 12 * 11 * 10 * 9 * 8 * 7 * 6!

Evaluate the products

Strings = 6227020800

Hence, there are 6227020800 ternary strings with exactly 4 zero's, 3 one's and 6 two's

Read more about combination and permutation at:

https://brainly.com/question/11732255

PLEASE HELP ME ASAP
ITS NOT HARD IM JUST TIRED

Answers

Answer:

15.4z−12

Step-by-step explanation:

Distribute:

7.4z+(−5)(−1.6z)+(−5)(2.4)

7.4z+8z+−12

Combine Like Terms:

7.4z+8z+−12

(7.4z+8z)+(−12)

15.4z+−12

Answer:

12*(x-1)

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)

STEP

1

:

Simplify 12/5

Equation at the end of step

1

:

4x-(5•((0-(16/10•x))+12/5))

STEP

2

:

Simplify 8/5

Equation at the end of step

2

:

4x - (5 • ((0 - (8/5 • x)) + 12/5))

STEP

3

:

Adding fractions which have a common denominator :

3.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8x + 12 /5 = 12 - 8x/5

Equation at the end of step

3

:

4x - (5 • (12 - 8x)/5)

STEP

4

:

STEP

5

:

Pulling out like terms :

5.1 Pull out like factors :

12 - 8x = -4 • (2x - 3)

Equation at the end of step

5

:

4x - -4 • (2x - 3)

STEP

6

:

STEP

7

:

Pulling out like terms :

7.1 Pull out like factors :

12x - 12 = 12 • (x - 1)

Final result :

12 • (x - 1)

HELPPPP!!!


Proof:


Statements Reasons


1.

//


1.


2. are alternate

interior angles


2.


3. 3.

4. 4.

5. 5.


Buntun Bridge

Answers

Answer:

If two angles and the included side of one triangle are congruent to the ... For item numbers 3, 4 and 5 refer to the figure at the right. 3.

34 pages

Step-by-step explanation:

simplify (-34.67)^0

Answers

Answer:

1

Step-by-step explanation:

PLEASE HELP ILL DO ANYTHINGG !!!!,,,,,,,

Answers

Given equation:

[tex] \sf \: b - 7400 = {2}^{t} [/tex]

Solution:

We have to make it as a function of T

So,

[tex] \sf \: b(t) = {2}^{t} + 7400[/tex]

We moved the constant to the right-hand side and changed its sign...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Hence, Option C is correct!!~

Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?

Question 3 options:

10 slices of cheese at $2.48.


12 slices of cheese at $3.18.


Neither. They are the same.

Answers

Answer:

10 slices of cheese at 2.48

Step-by-step explanation:

each slice is about 0.25

Find the domain of the function expressed by the formula: y= 1/x +7

Answers

Answer:

Range

{y element R : y is not equal to 0}

Answer:

is this it?

Step-by-step explanation:

HELP ILL GIVE BRaINLIeST

Answers

First one is4
Second one is28
Third one is 13

Answer:

16 eggs makes 4 batches 28 eggs makes 7 batches 52 eggs makes 13 batches

Step-by-step explanation:

I'm not sure but I believe that is correct

A. Answer what is asked. Show your solutions. 1. Given the measure of one interior angle of a regular polygon, give the number of sides.
a. 108 b. 140
2. What is the sum of the different measures of the exterior angles of a polygon with 105 sides
3. What is the measure of the exterior angle of a regular dodecagon?

please I need the answer right away !​

Answers

Answer:

1: b

2:18540°

3:30°

Step-by-step explanation:

I hope it's help

1:b fddsrghh

2:18540 bhfddss

3:30 Ddfghnjhfdss


Buckeyes

My fun

the tangent to curve y = 2x / x - 1 which is not equal to1, at the point (2,4) and the normal to the same curve at the point (3,3) intersect at the point P find the coordinate of p

Answers

Answer:the curve is 2 4

Step-by-step explanation:

5. A group of eighth-graders at your school is thinking of forming a club whose members rent DVDs. The club would also rent DVDs to non-members but at a higher price. They decided to create a membership for $20 flat fee and then charge $4 per DVD for members. Non-members could also rent a DVD, but for $5 per DVD. When would the membership be worth the money?

Answers

The membership would be worth the money if the number of DVD's rented is more than 20

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the cost of renting x DVD

They decided to create a membership for $20 flat fee and then charge $4 per DVD for members. For members:

y = 4x + 20

Non-members could also rent a DVD, but for $5 per DVD

y = 5x

The membership would be worth the money if:

5x > 4x + 20

x > 20

The membership would be worth the money if the number of DVD's rented is more than 20

Find out more on linear function at: https://brainly.com/question/15602982

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