How do i solve 6(2-4y) +4(6y-2)<4(y+4)

Answers

Answer 1

[tex]6(2-4y) +4(6y-2)<4(y+4)[/tex] (distribute)

[tex]12-24y+24y-8<4y+16[/tex] (collect like-terms)

[tex]12-8<4y+16\\4<4y+16\\-4y<16-4\\-4y<12\\y>\frac{12}{-4}[/tex] (we flipped the sign because we divided by a negative)

[tex]y>-3[/tex]


Related Questions

These are my questions.
Someone should please help ​

Answers

Step-by-step explanation:

The third one is not clear hence i couldn't answer it the rest i did

The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.

Answers

Answer:

length = 14 cmwidth = 3 cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

How to study Math by yourself at home efficiently?

Answers

Answer:

Just do what you did in school

Step-by-step explanation:

Like example you did algebra exercise 1 2 and 3

do the same at home by yourself

These are some tips I use to study math

Pay attention in class - if you pay attention to each and every detail in class you will understand the concept better .
Try taking math notes in class . All you need is a book and a pen . Write down everything that is new to you and write down formulas that you might need. This way you know what is in the chapter . And when you feel something doesn’t seem right you can ask your teacher. During your exams you can easily review these notes and you don’t have to search in the textbook for certain points or formulas. Use different colors and decorate your notes but don’t spend time in that because you might use these notes for only some time .

Solve the sums every day -solve the sums in your textbook. Solve the exercises of math and try to use the internet to get different sums that are similar to the concept you are learning. This will repeat the concept and you can understand it better. Try to do math each and every day. First do 10 sums and improve to do 20-30 sums each day . This way you know what sums you need to work on and what you already know.

Don’t be afraid to ask your questions- if you don’t understand some questions or doubts then feel free to ask . If you don’t ask soon enough you might lose your chance .

Read the textbook- read through the textbook and mark the important things you have to remember . Also make a layout of the chapter that includes the topics that you learnt in the chapter and their page numbers and so when it’s your exam all you need to do is look at the layout and if you don’t know a topic you can review it easily.

During the exam all you need to do is open you textbook check the important points and formulas and the layout of the chapter. If you don’t understand any concept then it will be easy to revise it . If you made notes you can look at them and revise quickly.
Before the exams gather all the sums together and separate them into two categories
1. The easy ones
2. The hard ones

Solve the easy ones first and try to understand the hard ones . This way you know the concept in the textbook questions and the same concept will be put into another question with the same meaning during the exam/test

You can try to solve online worksheets and tests based on the topic you are learning so tHat the concept is repeated in your head . Also try doing quizzes .

This should help you study math much easier and quicker.
Try to give at least one hour to math .

7 Tips for Maths Problem Solving that my friend uses are -
Practice, Practice & More Practice. It is impossible to study maths properly by just reading and listening. ...
Review Errors. ...
Master the Key Concepts. ...
Understand your Doubts. ...
Create a Distraction Free Study Environment. ...
Create a Mathematical Dictionary. ...
Apply Maths to Real World Problems.

Hope this helps you

if the area of a rectangle is square meters, then the length is 10 meters and the width is 2 meters

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

To find the area of a rectangle or square, you multiply the length by the height.

The length is 10 meters and the width is 2 meters.

10 times 2 is 20.

The rectangle is 20 square meters.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required area of the rectangle is 20 square meters.

Given that,
If a rectangle's area is square meters, then the length is 10 meters and the width is 2 meters.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
area of the rectangle is given as
Area = length × width
Area = 10 × 2
Area = 20

Thus, the area of the rectangle is 20 square meters.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

Use
with numbers. Use
with shapes.

Answers

Answer:

Can you clarify?

Step-by-step explanation:

what is the slope ? y + 6 = 3 (x + 1)

Answers

I hope this helps you

y+6=3x+3

y=3x-3

in formula m is y=mx+b

m=3

Answer:

3

Step-by-step explanation:

Slope is the coefficient of x, m in the form of y = mx + b

y + 6 = 3(x +1)y + 6 = 3x + 3y = 3x - 3

Slope of this function is 3

I'm so confused. Please help,thanks!

Answers

Y= 49 degrees
Isosceles triangles which are triangles that have two side of equal length will also have two angles that are equal. Since you know BC=CD that means their corresponding angles are equal. To set this up you can do:
180=2Y+82
Solve for Y. 180 because a triangles angles add up to 180. Then subtract 82 on both sides. Which gives you 98. Then you divide 98 by 2. And that will give you 49.

Solve the following systems using the substitution method.

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:

1).

2x + 8y = 12 ......... Equation 1

x - 2y = 0 .............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 2y

We have

2(2y) + 8y = 12

4y + 8y = 12

12y = 12

Divide both sides by 12

y = 1

Substitute y = 1 into x = 2y

That's

x = 2(1)

x = 2

The answers are

x = 2 , y = 1

2.)

x + y = 7......... Equation 1

2x + y = 5 ......... Equation 2

Make y the subject in equation 1 and substitute it into equation 2

We have

y = x - 7

2x + x - 7 = 5

3x = 7 + 5

3x = 12

Divide both sides by 3

x = 4

Substitute x = 4 into y = x - 7

y = 4 - 7

y = - 3

We have the answers as

x = 4 , y = - 3

3).

y = -1/2 + 1 ......... Equation 1

2x + 3y = 6 ........ Equation 2

From equation 1

y = 1/2

Substitute y = 1/2 into Equation 2

So we have

2x + 3(1/2) = 6

2x + 3/2 = 6

2x = 6 - 3/2

2x = 9/2

Divide both sides by 2

x = 9/4

The answers are

x = 9/4 , y = 1/2

4).

2x - 1/3y = - 9.......... Equation 1

-3x + y = 15 ........... Equation 2

Make y the subject in equation 2 and substitute it into equation 1

That's

y = 15 + 3x

2x - 1/3( 15 + 3x) = - 9

2x - 5 - x = - 9

x = - 9 + 5

x = - 4

Substitute x = - 4 into y = 15 + 3x

That's

y = 15 + 3(-4)

y = 15 - 12

y = 3

The answers are

x = - 4 , y = 3

Hope this helps you

Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag costs £2.99. Find the cost per gram for each bag of sugar. Round your answers to 3dp.

Answers

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

A bowl contained 28.2 grams of salt. Christine poured in another 57.04 grams. How much salt does the bowl contain now?

Answers

Answer:

85.24 grams

Step-by-step explanation:

28.2 + 57.04 = 85.24

A car is traveling at 60 mph and is tailgating another car at distance of only 30 ft. If the reaction time of the tailgater is 0.5 seconds ( time between seeing the brake lights of the car ahead flash and hitting the brake ), how far will his car travel during his reaction time ?

Answers

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Answers

7y+6x-14=0

Step-by-step explanation: if we know two coordinates of a line.

Answer:

6x+7y=14

Step-by-step explanation:

graphed using desmos, answer for edge 2021

find the slope of the line through (-4, 2) and (5,8) on a coordinate plane

Answers

Answer: m = 2/3

Step-by-step explanation: Use the slope formula to find the slope m.

: m = slope :

: slope of a line : m = rise/run = y2-y1/x2-x1 :

: (x1,y1) : coordinates of first point in the line :

: (x2,y2) : coordinates of second point in the line :

I hope this helps you out.

Answer:

Slope = 2 / 3

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.

          =(8-2) / (5+4)

          = 6 / 9

Slope = 2 / 3

What are the factors for x(5x+4)-(5x+4)

Answers

Answer:

(5 x + 4) (x - 1)

Step-by-step explanation:

Factor the following:

x (5 x + 4) - (5 x + 4)

Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).

Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):

Answer: (5 x + 4) (x - 1)

Question 3
Round to the nearest tenth.
8.001 - (-3.4062) =

Answers

8.001 + 3.4062 = 11.4072
We add because subtracting a negative changes the sign to a positive. The tenths place is the first decimal place. Therefore, the answer is:
11.4

What is g(4) if g(x)=x^2-5

Answers

Answer:

g(4)=11

Step-by-step explanation:

g(4)

g(x)=x^2-5

We know x equals 4 so substitute

g(4)=4^2-5

g(4)=16-5

g(4)=11

Divide $700 in the ratio 5:3:2 (S​

Answers

Answer:

350:210:140

Step-by-step explanation:

5+3+2=10, so we need 10 equal parts

700÷10=70

5x70=350

3x70=210

2x70=140

350:210:140

Answer:

Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140

8 \cdot 10^48⋅10 4 8, dot, 10, start superscript, 4, end superscript is how many times as large as 4\cdot10^{-5}4⋅10 −5 4, dot, 10, start superscript, minus, 5, end superscript?

Answers

Answer:

[tex]\bold{2\cdot10^9}[/tex]

Step-by-step explanation:

The given expression s are:

[tex]8 \cdot 10^4[/tex] and

[tex]4\cdot10^{-5}[/tex]

To find:

[tex]8 \cdot 10^4[/tex] is how many times  as large as [tex]4\cdot10^{-5}[/tex].

Solution:

Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].

So, we can say that:

[tex]8 \cdot 10^4[/tex]  = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]

OR

[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]

Let us have a look at the formula for exponents:

[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]

Here we have:

[tex]x=10\\p=4\ and\\q=-5[/tex]

Solving the expression using above formula:

[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]

So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]

Answer: 5 is your answer!

Step-by-step explanation:

how do I solve this?​

Answers

Answer:

17

Step-by-step explanation:

x^2 + 2y^2

Let x=3 and y =2

3^2 + 2 ( 2)^2

Exponents first

9 + 2* 4

Then multiply

9+8

Then add

17

Answer:

17

Step-by-step explanation:

● x^2 + 2y^2

Replace x by 3 and y by 2

● (3)^2 + 2×(2)^2

● 9 + 2 × 4

● 9 + 8

● 17

PLZZZ HELP!!! Why is it helpful to break down the total amount you would need to save on a monthly, weekly, or daily basis?

Answers

Answer:

it makes the goals easier to reach

Step-by-step explanation:

you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.

5 benefits of breaking down ones periodic savings have been listed below.

Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.

Now, budgeting is very important because it helps to do the following;

- Helps to ensure you spend money appropriately on things that you really need and not just wants.

- Helps you to effectively monitor your spending habits/patterns.

- Helps you to meet your financial goals.

- Helps you to make good decisions on things that involve finance.

- Helps you to monitor your progress in savings or interest as the case may be.

Read more at; brainly.com/question/22532334

If 10-6 is 4, what is 14-9?

Answers

Answer:

14-9 would be 5.

14 - 9 = 5! Take away 9 from 14 and it leaves you with 5.

WY bisects UV at Y. If
UY = 2x +1 and YV = x+7, find
UV.

Answers

Answer:

3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

Learn more here: https://brainly.com/question/17430417

Use the ALEKS calculator to find 35% of 89. Do not round your answer.

Answers

The answer is 31.15! Hope this helps!

In the function f(x) = 4x -2, which of the following is the name of the function?

Answers

Answer:

The name of the function is linear function.

Step-by-step explanation:

A linear function is the function representing a straight line.

A linear function is used to define the relationship between a dependent variable and independent variable.

The general form of a linear function is:

y = m·x + c

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept

The function provided is:

f (x) = 4·x - 2

The above function is similar to the linear function's general form.

The slope of the provided function is 4 and the intercept is -2.

Thus, the name of the function is linear function.

The sum of three intergers is 242. The 2nd number is 3 more than twice the first and the 3rd number is 9 less than 5 times the first. Find the numbers​

Answers

Answer:

31, 65, 146

Step-by-step explanation:

math

Solve the equation for x.
3(6x - 1) = 12

Answers

Answer:

soln

18x-3=12

18x=15

so,x=5/6

Simplify the Expression *

Answers

Answer:

16√3

Step-by-step explanation:

(4√6)(2√2)

4*2√6*2

8√12=8√4*3=8*2√3

16√3

100 POINTS PLEASE PLEASE HELP I NEED THE ANSWER ASAPP ;(

Answers

Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

[tex]y<-\frac{1}{4}x+1[/tex]

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]

Use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

[tex]y=-\frac{1}{4}x+1[/tex]

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

[tex]y<-\frac{1}{4}x+1[/tex]

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

verbal expression for each algebraic expression 23f

Answers

It would be “Twenty-three f.”

how?? help on 51. please! Thank you

Answers

Answer:

A is incorrect

Step-by-step explanation:

when you see -(- it makes the thing plus sign/positive

A is the correct answer
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