Solve the following inequality. Show your work. 2m + 6 > 7(m – 2)

Answers

Answer 1

Answer:

m < 4

Step-by-step explanation:

Given

2m + 6 > 7(m - 2) ← distribute

2m + 6 > 7m - 14 ( subtract 2m from both sides )

6 > 5m - 14 ( add 14 to both sides )

20 > 5m ( divide both sides by 5 )

4 > m , thus

m < 4


Related Questions

Find the exact value of Cosine (alpha + beta) given sin Alpha = two-fifths for Alpha in Quadrant II and Cosine Beta = one-third for Beta in Quadrant IV.

Answers

The exact value of cos (α + β) is (4√2-21) / 15.

What is angle?

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Sin α = 2/5, and α is in second quadrant,

cos β = 1/3 , and β is in fourth quadrant

Since, α is in second quadrant, the value of cos α will be negative.

The value of cos α, by right angle triangle property,

cos α = -√21 / 5  

Since, β is in the fourth quadrant, the value of  sin β will be negative.

The value of sin β  = -  2√2 / 3

Cos (α + β) = cos α.cos β - sin α. sin β

Substitute the values here,

Cos (α + β) = (-√21 / 5)  . 1/3 - 2/5. ( -  2√2 / 3)

                   = -21/15 + 4√2/15

                   =  (4√2-21) / 15

The value of cos (α + β) is (4√2-21) / 15.

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Answer:

D

Step-by-step explanation:

Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?

Answers

Answer:

6

Step-by-step explanation:

75% of 24=18

24-18=6

i’m pretty sure it’s 18 carrots left

16 Which expression is represented by the model shown below?

Answers

I think it’s the first one

question 1................​

Answers

Answer: D

Step-by-step explanation:

If my calculations are right, it should be d

The area she be option d

HELP ASAP PLEASESSSSS

Find the area of a rectangle with length of 3 inches and width of 8 inches.
Area = _____ square inches.

Answers

Answer:

24

Step-by-step explanation:

3*8=24 Inches^2

Answer: 24 sq. In.

Step-by-step explanation: area of a rectangle is l x w, or ab

describe fully the single transformation which takes shape A to shape B

Answers

Answer:

You need to show us the shapes first bro

Step-by-step explanation:

What is the value of x in the equation: 3x – 5x + 10 = 36

Answers

This is the answerrrrrrrrr

Answer:

-13

Step-by-step explanation:

3x-5x+10=35

-2x+10=36

-2x=36-10

-2x\-2=26\-2

x=-13

Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get correct?
Give your answer in its simplest form​

Answers

Answer:

48/64

Because 48 out of 64

Answer:

3/4 of the marks he got correct

-6=8x-14 show all steps please

Answers

Answer:

1=x

Step-by-step explanation

Add 14 to both side(because it is opposite)

-6=8x-14

+14       +14

8=8x

Divide both sides by 8

8/8=8x/8

1=1x(or just 1=x)

The answer will be X=1.

Please help me answer and understand this question, im really confused and don't know what to do​

Answers

Answer:

what the hell is this question

After 10 minutes a place was 75 miles
from Chicago, after 17 minutes it was
138 miles from Chicago. What is the
plane's average speed (miles per min)?

Answers

75 divide by 10 which is 7.5 so the average speed is 7.5. Proof 7.5 times 10 is 75

Write the equation of a line that is
parallel to y = 0.5x + 6 and
passes through the point (6, -2).​

Answers

Answer:

[tex]y=0.5x-5[/tex]

Step-by-step explanation:

Since the equation is parallel, this means that the slope remains the same which is 0.5.

The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.

[tex]-2=0.5(6)+b[/tex]

When solving for b, it will equal to -5.

Therefore the new equation that is parallel is [tex]y=0.5x-5[/tex]

The equation of a line parallel to y = 0.5x + 6 and passes through the point (6, -2) is y = 0.5x + 1.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope.

The given line can be written as y = 0.5x + 6.

Therefore, The required line also has a slope of 0.5 passing through the point (6, -2).​

- 2 = 0.5×6 + b.

- 2 = - 3 + b.

b = 1.

So, y = 0.5x + 1.

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Write an expression in standard form for
the area of the rectangle.
4x - 1
+
2x + 5

Answers

Answer:

6x +4

Step-by-step explanation:

add or subtract like terms

The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph.
Brainliest

Answers

Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.

Answer:

the answer and work if you needed work shown.

Step-by-step explanation:

50°
(x + 16)




Please help

Answers

Answer:

50o • (x + 16)

Step-by-step explanation:

it stays the same.

Write the statement below as a math expression



twice the difference of a number and eight

A.
2n+8

B.
2n-8

C.
2(n+8)

D.
2(n-8)

Answers

D. 2(n-8)

The difference of a number and eight is separate from being multiplied by 2 which is why you would use parenthesis.

What is the slope-intercept equation of the line below?
y-intercept = (0-2)
slope = -1

Answers

Answer:

y = -1x -2

Step-by-step explanation:

Y =Mx+b so y = -1 x + -2

Solve for y.
V
- 14 = 14
4
Simplify your answer as much as

Answers

It's 0 I took a similar test as that one

3Hg(NO3)2
Please help me with this

Answers

Answer:

whats the question

Step-by-step explanation

what do i gotta do??

There is actually 2 questions

a farmhouse shelters 23 animals some of them are ducks and the others are goats . altogether these animals have 62 legs. find how many ducks and goats are in The farmhouse.

in a coin Bank , there are 104 dime and quarters worth a total of $14 . how many of each type of coins are in the bank .​

Answers

Answer:

not  sure but i need points

Step-by-step explanation:

The cost of a banquet can be calculated using the function b=75+15n where b
represents the total cost and n represents the number of people attending. If the total
cost of the banquet is 130, how many people attended the banquet? (Round to the
nearest whole number)

Answers

Answer:

4 people were attending the banquet

Step-by-step explanation:

1 - Rewrite

b = 75 + 15n; b = 130

2 - Plug in and get n alone

130 = 75 + 15n

- 75  -75

55 = 15n ←↓ Divide both sides by 15

55/15 = n

4 [tex]3.6666... = n \\\4 = n[/tex]

Hope this helps

what is 5 plus 2 it is 7

Answers

Answer:

The answer is 7.

Step-by-step explanation:

5 + 2 = 7

I hope this helps! If it did, please consider rating and pressing thanks! Have a good day.

Answer:

7

Step-by-step explanation:

The humidity dropped an average of 1⅓% each hour over the last six hours. What was the total change in humidity?

Answers

Answer:

-8%

Step-by-step explanation:

Given : The humidity dropped an average of  each hour over the last six hours.

which can be written as  

Then , the total change in humidity in 6 hours will be:-

Hence, the total change in humidity = -8%

Day
Monday
Tuesday
Wednesday
Thursday
Friday
Minutes for Sarah
to Reach School
38
27
25
26
17
On which day did Sarah reach school in the
shortest amount of time?
How many minutes more did Sarah take to
reach school on Monday than on Thursday?

Answers

Answer:

Step-by-step explanation:

Sickbed yeah dondrn lake

helpppp pleaseeeeeeeeeee

Answers

Answer:

y=5

Step-by-step explanation:

if the slope is 0, its just a horizontal line passing through 7,5

have a good day lovely :)

At a sports camp, there is 1 counselor for every 8 campers. If there are 320 campers attending the camp, how many counselors are needed?

Answers

Answer:

40

Step-by-step explanation:

divide 320 by 8 and get 40 cause ratio is 1:8 so answer is 40:320

Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
A. The slope 3/5 ·
B. The slope 5/3 ·
C. The slope - 3/5 ·
D. The slope - 5/3 ·

Answers

The answer is:
C. The slope -3/5
Because -3/5 times 5 is -3 and when you combine -3 and 10 the answer is 7 and 7=7 (the y)

Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of
$150
Which equation models the number of books, n, she buys?
n=150
G150-n%3D6
56-150=
.
hip

Answers

Answer:

A 6n=150

Step-by-step explanation:

If f(x)=5X^3 - 2 and g(x)= x+1, find (f-g)(x) A. 5x^3+1 B. 5X^4-2 C. 5x ^3-x-1 D. 5x^3-x-3 ​

Answers

(f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3

hi uhm help im bad at math

Answers

Answer:

All it says is PDF NOT AVAILABLE.. can you type the question out.

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