"four times a number is less than or equal to four”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• Your work solving the inequality
• The solution graphed on a number line
• The solution in set notation
• The solution in interval notation

Answers

Answer 1

Answer:

if you need anything else just comment

Step-by-step explanation:

4k <_ 4 = numerical form

4k/4 <_ 4/4

k <_ 1 = work to solve

on number line there is 0,1,2. 1 has a circle that is filled in and arrow pointing towards 0. = graphed on number line

set notation = {k(vertical bar)k<_1}

interval notation = (-infinity, 1]


Related Questions

Point R is the midpoint of KL. If KR = 7x - 10 and RL = 3x + 34, find KL.

Answers

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R is the midpoint of KL ;

Thus R bisects KL , which means :

[tex]KR = RL[/tex]

So :

[tex]7x - 10 = 3x + 34[/tex]

Add sides 10

[tex]7x - 10 + 10 = 3x + 34 + 10 \\ [/tex]

[tex]7x = 3x + 44[/tex]

Subtract sides 3x

[tex] - 3x + 7x = - 3x + 3x + 44[/tex]

[tex]4x = 44[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

[tex]KL = KR + RL[/tex]

[tex]KL = (7x - 10) + (3x + 34)[/tex]

[tex]KL = (7 \times 11 - 10) + (3 \times 11 + 34) \\ [/tex]

[tex]KL = (77 - 10) + (33 + 34)[/tex]

[tex]KL = (67) + (67)[/tex]

[tex]KL = 60 + 7 + 60 + 7[/tex]

[tex]KL = 60 + 60 + 7 + 7[/tex]

[tex]KL = 120 + 14[/tex]

[tex]KL = 134[/tex]

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If X equals -5 which number line shows the value of X

Answers

Answer:

There is no picture or graph, if you put a graph or picture ill be able to answer it.

Step-by-step explanation:

Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.

Answers

66n + d = 7.80 let n represent nickels and d represent dimes. Since you know nickels is 5 cents n would equal .05 so you would do 66(.05) and you get 3.3. Then subtract 3.3 from 7.8 and d equals 4.5.

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Answers

W=10


Explanation:

First you need to find the area of the triangle. To do that you do BH*0.5
So- 8*6*.5
And you get- 24
So if the area of of the rectangle is 5 times the size of the area of the triangle then you do 5*24 and get 120
And since we know 12 is one of the sides and to find area of a rectangle u do L*W, all you would do is 120/12 and you get 10

johnny invests $9000 in two mutual funds

Answers

Answer:

$4500 each if he splits it eqaully

Step-by-step explanation:

9000÷2=4500

hope this helped (~‾▿‾)~

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? The base angles of an equilateral triangle have equal measure. If two sides of a triangle are equal, the third side must be equal to the others. If a triangle is equiangular, then it is equilateral. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Answers

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangle

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

Read more on isoscelles triangle;

https://brainly.com/question/11884412

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

To learn more about supplementary angles click here ;

https://brainly.com/question/26760105

#SPJ2

Find the measure of the missing angle.
77°

Answers

Answer: The missing angle is 13°

Step-by-step explanation:

Let ∠B

be the missing angle.

Let ∠A

be the angle that measures

77∘Let ∠C

the right angle that measures

90∘

The following is true of all triangles:

∠A+∠B+∠C=180∘

Express the above equation as

∠B

in terms of the other angles:

∠B=180∘−∠A−∠C

Substitute the values for ∠A and ∠C

∠B=180∘−77∘−90∘

∠B=13∘

In science class the ratio to girls to boys is 3 to 7.
If their are 50 students in the class, how many boys are there?

Answers

Answer:

15 boys

Step-by-step explanation:

7+3=10

10x5=50

there are 3 boys so

3x5=15

Answer:

35

Step-by-step explanation:

Assume 3x is the number of boys in the class.

And 7x as for the girls.

3x+7x=50

10x=50

x=5

Thus, 7*5=35 boys in the science class

Hope this is helpful!

.............llllllllllllllllwwwwwwww

Answers

Answer:

wwwwwwwwwwwwwwwwwww

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

(a) Find: (i) the mean (ii) the median (iii) the mode.

Answers

12,13,13,14,14,14,15,15
mean: 13,75
median: 14
mode: 14
hope it helps! :)

Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.

Answers

Answer:

ans: 111.54

Step-by-step explanation:

u can simple do by multiple

Answer:

38.24

Step-by-step explanation:



Ben is planning to sell cookies and popcorn for a school bake sale. He is selling cookies, c, for $0.75 each and popcorn, p, for $1.00 per

bag. Interpret the expression 0.75c+p

Answers

The expression 0.75c + p represents the cost for the consumer for purchasing c cookies and p popcorn.

The coefficient 0.75 represents the cost of 75 cents per cookie and the coefficient of 1 before p represents the cost of $1.00 per bag of popcorn.

change the fraction 2/5 to a percent

A. 25%
B. 40%
C. 7%
D. none none of these choices are correct​

Answers

2/5 make denominator 100
2/5 = 40/100 = 40%

Answer: B

Step-by-step explanation:

The city bus provides transportation within a 4 mile radius of your house. How much of the city does your bus route cover?

Answers

Oh ok fine I just want to make sure you know that I don’t want you to the route cover 4/5

Graph the line with the equation y=-1/4x+1

Answers

On the y axis plot a point at 1. Then go down 1 and to the right 4. Hope that helps

the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t

Answers

Answer:

well you have to use y=mx and plugg your numbers in

Step-by-step explanation:

sorry its not much help

Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?

Answers

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

I would really appreciate it if someone could answer and explain how to work this problem I will give a brainless also :)

Answers

Answer:

Third choice, angle 5 and 2

Step-by-step explanation:

Vertical angles are opposite angles that are connected by intersecting lines.

5 and 2 are opposite angles and they are connected by, technically, two lines crossing each other.

14 + w is the same as which expression?

Answers

Answer:

w+14,

Step-by-step explanation:

What are two multiples of 6 between 40 and 50

Answers

Answer:

The two multiples are 42 and 48

6 times 7 is 42

and 6 times 8 is 48

Two multiples of 6 between 40 and 50 is 42 and 48

Can you help me please as soon as possible :)

Answers

Answer:

what r u finding the surface area or what?

Step-by-step explanation:

Answer:

1.) 36m        2.) 275cm

3.) 52m       4.)

Step-by-step explanation:

1.) First, I would multiply the triangles. The area for triangles is A=BxH/2.

So you would do 4mx3m=12m

12m/2= 6m but you're not done, you still have the rectangle. The area is A=LXW for the rectangle. So you would do 5m x 6m=30m. Finally, add.      30m + 6m= 36m

2.) Same thing as number one, but different numbers.

Triangle: 8cm x 10cm= 80cm

80cm/2= 40cm

Rectangle: 13cm x 15cm= 195cm

80cm + 195cm= 275cm

3.) Same as the last two except for it looks different and different numbers.

ignore the 5 to the left of the triangle.

3m x 8m= 24m

24m/2= 12m

5m x 9m= 40m

40m+12m= 52m

4.) I want you to try it first, then if not come back and ask. Hope it helps.

Which of these is equivalent to 3/8 x 5/6 Answer Correctly Or Dont Answer
A. 15/4
B. 16/5
C. 8/14
D. 8/48

Answers

A is the correct answer

Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x

Answers

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

3.
If m complement of

Answers

Answer:

complement of what ?

Step-by-step explanation:

EASY MATH PLS HELP ASAP
Betsy is three times as old as she was 18 years ago. How many years old is she today?

Answers

Answer:

27

Step-by-step explanation:

18 years ago she was 9 and 9 x 3 is 27

An amount of money that is deposited or borrowed that earns or is charged interest is called a what?

Answers

Answer:

the principal

Step-by-step explanation:

Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?

Answers

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

A large bottle of orange juice contains 400 mL of juice. A medium size bottle contains 60% as much. Find how many millilters are in the medium bottle using the double number line.

Answers

Answer:

240 mL

Step-by-step explanation:

60% of 400 is 240 mL! Your Welcome!

Answer:

the answer would be 240

Step-by-step explanation:

you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer

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