How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 < −5n + 8

Answers

Answer 1

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

Answer 2

The solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question as:

3n − 40 < −5n + 8

Rearrange the terms in the above inequality

3n + 5n < 8 + 40

Apply the addition operation in the terms

8n < 48

Divided by 8 into both sides of the inequality

n < 6  ....(i)

Substitute the value of n = 10 in inequality (i),

10 < 6

This is not true, so 10 is not the solution to the given inequality.

Therefore, the solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

Learn more about inequalities here:

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Related Questions

Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?

Answers

Taxi A
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25

Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25

Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25

Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25

Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25

Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25

Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25

Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25

Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)

^^^
They would have to drive 9 miles for the taxi to cost the same.

Hope this helped, this is the longest way to work it out but also the simplest.

Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which of these equations could be used to find the measure of angle NOQ? A. 23+x=140 B. x−23=140 C. 23×x=140 D. 140÷23=x Activity 2 of 2 What is the measure, in degrees, of angle NOQ?

Answers

Answer:

A. 23+x=140

Step-by-step explanation:

The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:

m∠AOB + m∠BOC = m∠AOC.

From the image:

∠NOP = ∠NOQ + ∠QOP

∠NOP = 140, ∠NOQ = x, ∠QOP = 23

substituting:

140 = x + 23

x = 140 - 23 = 117

∠NOQ = 117°

Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?

Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water

Answers

Answer:

flour 720 g

salt 10.8 g

yeast 14.4 g

oil 36 ml

water 600 ml

Step-by-step explanation:

600 ml - 500 ml = 100 ml = 20% more

Set up ratios to determine 20% of each ingredient and add to the original amount.

Example:

20%/100% = x ml/30 ml

20x30÷100=6

So, for oil, you need 30 ml + 6 ml = 36 ml

6 ml = 20% more

determine the slope between -2,6 3,4

Answers

The slope is -999’inc because yssjjdidijdnxjdnxnnxkxkx

The equation which represents x, the width of the border is 2(8-2x) + 2(4- 2x) – 18. What is the width of the border?
oft
ft
1 ft
3 ft

Answers

Answer:

mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have

A business purchases a computer system for $3,000. The value of the
system decreases at a rate of 15% per year. What is the computer system
value after 5 years?

Answers

Answer: $6335.76

Step-by-step explanation:

you would do 3,000 times 105% = 3450

then you would do 3450 times 105% = 3967.5 then you would do 3967.5 times 105% = 4562.62 then you would do 4562.62 times 105% = 5247.01 next you would do 5247.01 times 105% = 6034.06 finally you would do 6034.06 times 105% = 6335.76

In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangular surface

Answers

Answer:

375

Step-by-step explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular  surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total  surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF  A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375

A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

Answers

Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.

"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.

To know more about an expression follow;

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Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!

Answers

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

Estimate 28 x 31 x 3

Answers

Answer:

2604

Step-by-step explanation:

Answer:

2600 as a estimate but it is 2604

Step-by-step explanation:

Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr

Answers

Answer:

Step-by-step explanation:

1,2,2,3,4,5,7

Median is 3

The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.

What is median?

The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).

Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.

The given data: 7, 2, 1, 4, 5, 2, 3

The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.

Therefore, the Median is 3.

To learn more about median

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What is the length of b?

Answers

with a 45,45,90 right triangle, the hypotenuse is always the length of one of the other side times the square root of 2, so divide by that and you get 8

Which pairs of angles in the figure below are vertical angles?
Check all that apply

Answers

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Pls, help me with this geometry question.

Answers

Answer:

x=45 degree

Step-by-step explanation:

x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)

x=180-135

x=45 degree

if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32​

Answers

B is the correct answer

Mandy gets 6 out of every 8 questions on a test correct. If she gets 27 questions correct, how many questions are on the test?

Answers

Answer:

36

Step-by-step explanation:

She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4

so we can say the ratio multiplied by the number of questions equals the correct answers

while x is the number of questions:

solve for x

3/4 * x = 27

x = 27 / (2/3) = 36

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?

Answers

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)

Answers

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

Please someone help i'm struggling with this work!

Answers

Answer:

5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3

Step-by-step explanation:

It is abe

Can someone help please (‘:

Answers

Answer:

exponent is -3, ceofficiant is 4

(d)

SOMEONE PLEASE HELP ME!!!!

Answers

Answer:

Step-by-step explanation:

scale factor=17/36

if x= 3-2^2 then find the value of x^2+1÷x^2​

Answers

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
Identify the slope of the graphed line:
Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:

Answers

Answer:

Step-by-step explanation:

1. -1/2

2. -1

3. -1/2

4. -1

Answer:

Identify the slope of the graphed line:   -1/3

Identify the y-intercept of the graphed line:   1

Identify the slope of the line given by the equation:   1/2

Identify the y-intercept of the line given by the equation:  -1

Step-by-step explanation:

the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!

PLEASE ANSWER QUICKLY! WILL MARK YOU BRAINLIEST IF CORRECT!!! Find x. Round your answer to the nearest integer,
O A. 20
ОО
B. 19
O C. 15
O D. 12

Answers

Answer:

x = 15

Step-by-step explanation:

sin = opp/hyp

sin37 = x / 25

Multiply both sides by 25

25 * sin37 = x

Use calculator

15.045375578801207 = x

Rounded

x = 15

D

Step-by-step explanation:

the answer is 12

if we add 25+12 =37

if we subtract 37-25 =12


The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
is the slope-intercept form of the equation for this line?
O y= 2 x - 12
O y=-x-4
o y=+*+2
O y=x+6

Answers

Answer:

answer y=x-4

Step-by-step explanation:

slope intercept from is y=mx+b

m=slope b=y intercept

convert current equation to slope intercept

y-4=x-8

add 4 to both sides

y=-x-4

List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).










What Quadrant would the following numbers be in:

-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____

Answers

JxkskKzk lflodlslslslss

Please help fast for question A and B I’d appreciate it

Answers

Step-by-step explanation:

a) Since the precision of the ruler is 1 mm, the uncertainty associated with this ruler is +-0.5mm. So the tire tread has a depth of 7.0 mm +- 0.5mm. The amount of tire thread that has worn off is

11.2 mm - (7.0 mm +- 0.5 mm) = 4.2 +- 0.5 mm

b) The tire thread can anywhere between 3.1 mm and 3.5 mm. Since the lower limit has gone below the legal limit of 3.2 mm, it's time to change the tire.

which expression is equivalent to 2x^(2)+11x+5

Answers

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )

= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term

= (x + 5)(2x + 1) ← in factored form

How many four digit numbers cannot be divided by 5?

Answers

Answer:

2556

Step-by-step explanation:

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