six times a number decreased by 8 is less than five times the number plus 21

Answers

Answer 1

Answer:

6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.

Step-by-step explanation:

Question = 6x - 8 < 5x +21

so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5.  so the first factor of 6 is 6 so:

(6 x 6) - 8 < (5 x 6) + 21

36 - 8 < 30 + 21

28 < 51

so x = 6

Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:

(6 x 30) - 8 is more than (5 x 30) + 21

180 - 8 is more than 150 + 21

172 is more than 171

hope that helps  : )

Answer 2

Representing the problem using mathematical equation, the inequality which represents the scenario is n < 29

Let the number be represented as n :

6n - 8 < 5n + 21

We can then solve for n

6n - 5n < 21 + 8

n < 29

Therefore, the inequality expression which represents the possible values of n for which the expression is true is n < 29

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Related Questions

Convert 8/25 to a percent

Answers

Answer:

32%

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100

======================================================================

When you enter 8/25 into the above formula, you get (8/25)*100 which calculates to:

32%

How many solutions y=5x-4 y=5x-5

Answers

Answer:

No solution

Step-by-step explanation:

Any equations with the same slope are parallel, or will never intersect.

In a slope-intercept equation, this would mean the 'm' values are the same.

y = mx + b

Two equations:

y = 5x - 4

y = 5x - 5

Since the two equations given have the same slope, they will never intercept and therefore have no solution.

Find x.
(4x + 16)
(2x + 34)
A. X = 9
B. X= 52
C. X = 21.7
D. X = 25

Answers

Answer:

A. x=9

Step-by-step explanation:

4x+16=2x+34

-2x       -2x

2x+16=34

-16       -16

2x=18

÷2    ÷2

x=9

I think the answer would be x=9:)

!!!PLEASE SOMEONE HELP ANSWER THIS QUICK!!!
9. ∠DEF and ∠FEG are complementary. m∠DEF = (3x − 4)°, and m∠FEG = (5x + 6)°.
Find the measures of both angles.

Answers

Answer:

29°61°

Step-by-step explanation:

Complementary angles are two angles that add up to be 90 degrees.

We can write an equation and solve for x.

(3x - 4) + (5x + 6) = 90

~Combine like terms

8x + 2 = 90

~Subtract 2 to both sides

8x = 88

~Divide 8 to both sides

x = 11

Angle DEF:

3x − 4

3(11) - 4

33 - 4

29°

Angle FEG:

5x + 6

5(11) + 6

55 + 6

61°

Check:

29 + 61 = 90°

Best of Luck!

I WILL GIVE BRAINLIEST I REALLY NEED HELP!!!:(

Answers

Answer:

Questions aren't listed

Step-by-step explanation:

In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60

Answers

Answer:

7250

Step-by-step explanation:

This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.

I will give Brainliest to whoever can answer this!

Which number line can you use to simplify 2-(-8)?

Answers

Answer:

its clearly B because you change the first sign ( from - to +) so it ia 2 + then also change the next sign ( from - to +) so now it becomes 2 + 8.

Step-by-step explanation:

Answer:

B.  2+(8)=10

Step-by-step explanation:

you can rewright a prob to simplify

10. Which list shows these numbers in order from least to greatest?
7.-3.17, 153, -29
PLZ I NEED HLP

Answers

From least to greatest the numbers are:
-29, -3.17, and 153.

hopefully that helps, there was no image attached, so can’t tell you which list it is :)

Answer:

-29, -3.17, 153

Step-by-step explanation:

in order from least to greatest this is the list.

-29 is the number farthest below zero, and 153 is the number farthest above zero.

I need to know the missing angles​

Answers

Answer:

71

Step-by-step explanation: 2x=142

x=71

Answer:

the missing angles are 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

142° is an exterior angle of the triangle, thus

x + x = 142

2x = 142 ( divide both sides by 2 )

x = 71

May you please help me!? (Also may you please show your work so I understand?)

Answers

Answer:

(2,3) (-2,1) (-4,-1) (4,-1) (4,-2) (0,-3)

Step-by-step explanation:

its x then y so you would find the number on the line the dot is on going from left to right for x, then for y go from up to down. also the answers are going from the top of the page, down. hope i helped!

Please explain this!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

SCORATIC THE APP WILL GIVE YOU ALL ANSWERS

Step-by-step explanation:

What is 39% of 198? Percantage

Answers

Answer:

39% of 198 = 77.22

Have a nice day.

Answer:77.22Step-by-step explanation:

1: Calculate the percentage of a number.

For example: 39% of 198 = 77.22

2: Calculate a percentage based on 2 numbers.

For example: 77.22/198 = 39%

hope this help!

Given the quadrilateral ABCD, what is the length of diagonal AC?

A 16/2
B 8/2
C 13
D 4/2
Square roots by the way

Answers

Answer: a

Step-by-step explanation:

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32

What are the intercepts of the line -8y=8x-32 ?

x-value of x-intercept _____
y- value of y-intercept _____

Answers

Both the x and y intercepts are 4

HELP!!!

What is the equation of the line that passes through the point (-5,–6) and has a
slope of 3/5?

Answers

Answer:

y=3/5-3

Step-by-step explanation:

Is this Kumon LOL?

y=mx+b

y=3/5x+b

-6=3/5 times -5=b

b=-3

Tell me about something you love! It could be a special interest, game, book, person, movie, etc.. Just ramble.


(i just wanted to give people a chance to talk about their interests)​

Answers

I love my bf and my dog❣️

i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!

Someone please help me out and give me the explanation!!


2(x+3=3(x-4)

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
The Answer is X = 18

what is the slope of the line ?

Answers

Answer:

The slope is -1.

Step-by-step explanation:

Slope= y2-y1/x2-x1 So slope =2-1/-4-(-3)= 1/-1. 1/-1= -1, so the slope= -1.

Please help me out please!

Answers

Answer:

-1.86

Step-by-step explanation:

1.86 is half of 3.72, and when you divide a negative with a positive, you get a negative.

Answer:

-1.86

Step-by-step explanation:

equation not in slope intercept form. 3y=9x-24

Answers

i think this is what your asking

simplify 12*3/12*7 QUICK PLEASE

Answers

Answer:

12*3/12*7= 3/7

Step-by-step explanation:

make it braintliest please

Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?

Answers

Answer:

2:3

Step-by-step explanation:

Answer:

2-3

Step-by-step explanation:

Blake looks at his checking account balance regularly. His three lowest balances during the year are as given.

−$20<−$12<−$3

Select from the drop-down menus to correctly complete the statement.

The inequality statement shows that −$20 is a
lower
balance than −$12, and −$12 is a
lower
balance than −$3.

Answers

Answer:

that is correct for both questions the answer is lower

Step-by-step explanation:

Answer:

lower for both

Step-by-step explanation:

5y[4-(y+2) ]+4y(y+2)

Answers

Answer: −y^2+18y

Let's simplify step-by-step.

5y(4−(y+2))+4y(y+2)

Distribute:

=(5y)(4)+(5y)(−y)+(5y)(−2)+(4y)(y)+(4y)(2)

=20y+−5y2+−10y+4y2+8y

Combine Like Terms:

=20y+−5y2+−10y+4y2+8y

=(−5y2+4y2)+(20y+−10y+8y)

=−y^2+18y

Answer:

= −y^2+18y

Hope this helps you!

Answer:

It could be 37y

Step-by-step explanation:

HELPPPPPP

Question:
In pic

Answers

Answer:

68/12

Step-by-step explanation:

12x5 is 60 then add the 8

Answer:

5[tex]\frac{2}{3}[/tex] I believe

M
115°
Y
N
(4k + 5)º
(6k + 10)
X

Answers

Answer: 10

Step-by-step explanation:

LESSON 5: Rational Numbers LEARNING TASK # 2 Score__________ Name:Joseph Sebastian Usi Section:7-Callalily Direction: Perform the indicated operations. 1.34+914=____221_____________ 2. 16+34=______45___________ 3. 46+418=_________220________ 4. 45-615=2 ________________ 5. 25-36=_________________ 6. 37 x 45=_________________ 7. 58x (-53)=_________________ 8. 3425=_________________ 9. 910÷(-45)=_________________ 10. 367 x 225=_________________

Answers

Answer:

1.  221+ 727  

2.  45+5  

3.  220+ 244  

4.  2( -285)  

5.  (-9)

6. 1665  (multiplying)

7.  -3074 (multiplying)

8.  685 *5

9. - 20  2/9

10. 82575 (multiplying)

Step-by-step explanation:

1.34+914=____221_____________

948 =  221+ 727     (subtracting 221 from 948)

2. 16+34=______45___________

50=  45+5    ( adding 5 to 45 to get 50)

3. 46+418=_________220________

464= 220+ 244    ( subtracting 220 from 464)

4. 45-615=2 ________________

- 570 = 2( -285)   (dividing -570 by 2)

5. 25-36=_________________ (-9)

-9 = -9   ( subtraction)

6. 37 x 45=_________________ 1665  (multiplying)

7. 58x (-53)=_________________ -3074 (multiplying)

8. 3425=_________________ 685 *5  (dividing by 5)

9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)

= - 20  2/9

10. 367 x 225=_________________ 82575 (multiplying)

Solve for the values of x:

(2x-1)(x+4) = 0

Answers

Step-by-step explanation:

x = -4, 1/2 is the value of x

The values of x that satisfy the equation (2x - 1)(x + 4) = 0 are

x = 1/2 and x = -4.

Here, we have,

To solve for the values of x in the equation (2x - 1)(x + 4) = 0, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we set each factor equal to zero and solve for x:

2x - 1 = 0

Adding 1 to both sides:

2x = 1

Dividing both sides by 2:

x = 1/2

x + 4 = 0

Subtracting 4 from both sides:

x = -4

Therefore, the values of x that satisfy the equation (2x - 1)(x + 4) = 0 are x = 1/2 and x = -4.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Can someone help me with this please!? its urgent!
Thank you who helped :)

Question: Explain how you would find the measure of the angle indicated.

Answers

Answer:

x=11 qqqqgugug

Step-by-step explanation:

I'm nerdy

Answer:

37 degrees

Step-by-step explanation:

All insides of triangles = 180 degrees, so...

67 degrees + 76 degrees + (x + 48) degrees = 180

67 + 76 + (x + 48) = 180

143 + x + 48 = 180

191 + x = 180

x = -11

x + 48

-11 + 48

37 degrees

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