Solve for x: 6x + one over four(4x + 8) > 12 Im lost please help asap

Answers

Answer 1

Answer:

[tex]x > \frac{10}{7} [/tex]

Step-by-step explanation:

[tex]6x + \frac{1}{4} (4x + 8) > 12[/tex]

Expand the terms in the bracket

That's

[tex]6x + x + 2 > 12 \\ 7x + 2 > 12[/tex]

Subtract 2 from both sides of the inequality

That's

[tex]7x + 2 - 2 > 12 - 2 \\ 7x > 10[/tex]

Divide both sides by 7

That's

[tex] \frac{7x}{7} > \frac{10}{7} [/tex]

We have the final answer as

[tex]x > \frac{10}{7} [/tex]

Hope this helps you


Related Questions

how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.​

Answers

Answer:

Step-by-step explanation:

it is related as all integers are rational numbers

The required solution is integers are rational numbers.

It is required to find the solution.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Solution:

They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.

∴It is related as all integers are rational numbers.

Therefore, the required solution is integers are rational numbers.

Learn more about real number here:

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what is 2.5 (x - 1) + 4.5 (-x - 2)

Answers

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

Answer:

2x-11.5

Step-by-step explanation:

[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]

hope this helps

Point A is at (-7,5) and point M is at (0.4). Point M is the midpoint of point A and point B. What are the coordinates of point B?​

Answers

Answer:

The coordinates of point B is

( 7 , 3)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Let the coordinates of B be ( x , y)

From the question the midpoint is ( 0 , 4) and A is (-7 , 5)

So we have

[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]

Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates

That's we equate them

So we have

For x

[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]

For y

[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]

So we have

x = 7 , y = 3

So the coordinates of point B is

( 7 , 3)

Hope this helps you

Answer:

7,3

Step-by-step explanation:

i have a zero in the ones place. i am greater than 20 but less the 39 what am i

Answers

Answer:

30

Step-by-step explanation:

Why can you multiply both quantities in a ratio by the same number to find an equivalent ratio? Please help I have this for homework and I am very frustrated

Answers

Answer:

  Multiplying by 1 does not change the ratio

Step-by-step explanation:

Multiplying a/b by c/c gives the equivalent ratio (ac)/(bc) because c/c is 1, the multiplicative identity element. Multiplying by 1 does not change the ratio.

Answer:help me pls then ill help u

Step-by-step explanation:

A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *

Two angles are supplementary and have equal measures. What must
the measure of each angle be?

Answers

Answer:

These angles are called angle pairs. ... Supplementary angles are two angles whose sum is equal to \begin{align*}180^\circ\end{align*}. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees.

Step-by-step explanation:

Hope this helps you <3

Please help o need this done fast I’m in a rush

Answers

Answer:b

Step-by-step explanation:

Practice Problem #3: If you translate figure A 8 units to the left to form
figure A'. Then reflect figure A' across the x-axis to form figure A". Will figure
All be CONGRUENT to figure A?
6
-2
o
-2
А
Yes
O No

Answers

Answer:

its yes I think

Step-by-step explanation:

ummm I think its yes it's hard to explain

Help me with this pls anyone

Answers

Answer:

B

Step-by-step explanation:

x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2

find y values for x values and check:

1^2=1,     pair 1:(1,1); 3(1)-2=3-2=1, same pair

2^2=4, pair 2:(2,4);  3(2)-2=6-2=4, same pair

pairs: (1,1);(2,4)

A person becomes instagram famous when they have more that 5,000. Dmytryus currently has 2,000 followers. For every 500 likes a photo of his gets, he gains 20 followers. a.) what is the slope and what does it represent in this situation? b.) How many likes does Dmytryus need before he will become instagram famous? ANSWER THIS IS URGENT!!!!!

Answers

Answer:

a. 25/1, likes per follow b. 75,000 likes

Step-by-step explanation:

The slope is the likes per follow, which is 500/20 simplified to 25/1.  To find how many he needs for answer b, you first need to find how many more followers he needs, which is 3000.  You then multiply the number of likes per follow by the number of followers needed, 25x3000.  Dmytryus needs 75000 likes to become Instagram famous.

HELP!!! ME ANSWER THIS PLZ.

Answers

Answer:

You multiply each term inside the parentheses by -1 in order to subtract each term, since subtraction is the additive inverse.

Step-by-step explanation:

Subtraction is the additive inverse. We multiply each term in parentheses by -1  in order to open the parentheses and start adding the resulting terms.

28 people ordered dessert
2/7 ordered ice cream
the rest ordered the special
how many people ordered the special

Answers

Answer:

20 people

Step-by-step explanation:

The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.

28÷7=4

Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.

4 x 2= 8

Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.

28-8= 20

Therefore, 20 people ordered the special. Hope this helps!

If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that 28 people ordered dessert.

2/7 ordered ice cream and the rest ordered the special how many people ordered the special.

1/7 of the 28 people is 4.

Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.

4 x 2= 8

we know that 8 people ordered ice cream.

To find the number of people who ordered the special, we subtract 8 from 28.

Twenty eight minus eight equal to twenty.

28-8= 20

Hence, 20 people ordered the special.

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A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve equation to find the number of hours T of labor spent repairing the car

Equation : __ =553

T= ___ hours

Answers

Answer:

6

Step-by-step explanation

265+48=313

553-313=240

240/60=6

Answer:

equation : 265 + 48T = 553

T = 6 hours

Step-by-step explanation:

equation

553 - 265 = 288

288 /48 = 6

the number of hours spent is 6

equation : 265 + 48T = 553

T = 6 hours

Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .

Answers

Answer:

The perimeter is 16 units.

Step-by-step explanation:

Once you graph all the sides you can easily count and see the perimeter is 16. :)

Choose the three shapes that have an area of 36 square centimeters.
9cm
12 cm
A
4 cm
D
3 cm
9 cm
12 cm
B.
9 cm
E.
6 cm
6 cm
C.
6 cm

Answers

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

can u solve 0=4(x+5)+8

Answers

Answer:

0 = 4x +20 +80=2×(2x +14)0=2x+14=)2x =-14=)x =-7

Answer:

x = 7

Step-by-step explanation:

0 = 4(x+5) + 8

expand:

0 = 4x + 4*5 + 8

0 = 4x + 20 + 8

0 = 4x + 28

simplify

4x = 28

simplify

x = 28 / 4

x = 7

What is 3.142 rounded to the nearest hundredth?

Answers

Answer:

3.140

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

-----

What is the length of AB? Round your answer to the nearest
hundredth. Hint: The nearest hundredth means the second place to
the right of the decimal point. This is not the answer! For example,
12.06
Ay
B
2.
х
-2
O
-2

Answers

23’3 because I went over the test and I got it correct I’m pretty sure (sorry if I’m wrong I just went with the internet :()

Name the property or definition illustrated below
If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12

Answers

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

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

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

If A and B are the solutions to the equation x^2-23x+130 , what is the sum of A and B ?
A) -10
B) 10
C) 23
D) 33
E) 50

Answers

Answer:

                1 C) 23

               2 D) x + y + 2

Step-by-step explanation:

 

1.

a = 1 ,  b = -23, c = 130

b²-4ac = (-23)²- 4×1×130 = 529 -520 = 9>0

if solutions (A=x₁, B=x₂) exist (b²-4ac≥0) then based on vieta's formula:

[tex]A+B=x_1+x_2=-\dfrac{b}a=-\dfrac{-23}1=23[/tex]

2.

sum of two even integers is na even integer

sum of two odd integers is na even integer

only sum of an even integer and an odd integer is an odd integer

x is even and y is odd so 2x is even and ±2y is even and x+y is odd

1 is odd and 2 is even which means:

2x±2y is even,

x+y + 1 is even

x-2y is even

only x+y+2 is odd (as sum of odd x+y and even 2)

I need help with econ! please download the word file to see the pictures. Figure: Wireless Mouse Market) According to the graph showing the wireless mouse market, what is the change in producer surplus when the price increases from $10 to $15? A. $200 B. $1,000 C. $3,000 D. $800 (Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, consumer surplus is equal to ________ and producer surplus is equal to ________. A. $64; $40 B. $32; $24 C. $56; $16 D. $32; $40 E. $64; $24 Figure: Market for Sandwiches) In the market for sandwiches during the lunch hour at a local deli, suppose a price ceiling is set at $4. At this price, the deadweight loss is equal to ________ and the portion of the producer surplus transfered to the consumer is equal to ________. A. $4; $7 B. $5; $4 C. $3; $8 D. $12; $2 E. $6; $4

Answers

Answer:

ok hold on ima do it step by step

Which shows a difference of squares?

Answers

We need a picture to answer it

Answer:

the answer is C on egd2020

Step-by-step explanation:

god bless:}

Evaluate the expression: -7(3t - 8) + 5, when t = -6

Answers

Answer:

147 maybe?

Step-by-step explanation:

Write an expression for one-sixth of 4x

Answers

Answer:4x=1/6

because of how its written you would be multiplying 4x by 1/6 if they asked you to solve it. but since they asked you to write the equation all you have to do is put 4x on one side of the equal sign and 1/6 on the other so if they ask you to solve it all you have to do is multiply both sides by 1/6

Help! The most helpful answer will be marked as BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

16=5p-6

17=y

graph the function y= 2.2 - |0.4x + 1|. what are the coordinates, to the nearest tenth, of the maximum of the graph.
A. (2.5, 2.2)
B. (-2.5, 2.2)
C. (0, 3.2)
D. (3.2, 0)

Answers

Answer:

B

Step-by-step explanation:

no explanation.......

Answer:

(-2.5,2.2)  

Step-by-step explanation:

what is p-9/3=2 what is p?

Answers

p-9/3 = 2

p-9 = 2×3

p-9 = 6

p = 6+9

p = 15

... Hope this will help...

X-3.5= -3.1 I'm confused​

Answers

Answer:

See Below

Step-by-step explanation:

First, isolate x. To do that add 3.5 to each side

x - 3.5 =  -3.1

  +3.5    +3.5

x= 0.4

Answer:

X = 0.4

Step-by-step explanation:

X-3.5= -3.1  add 3.5 each side.

X = 3.5 - 3.1 simplify

X = 0.4   done!

Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK

Answers

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

Factor k^2-81...............

Answers

Answer:

[tex](k+9)(k-9)[/tex]

Step-by-step explanation:

[tex]k^2-81[/tex]

[tex]k^2-9^2[/tex]

Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]

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