Solve the inequality 1 ≤ s -8

Answers

Answer 1

1 ≤ s -8

1+8 ≤ s

9. ≤ s

Answer 2

The value of the variable s is greater than or equal to 9.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The inequality is given below.

1 ≤ s - 8

Simplify the inequality, then the value of the variable s will be

1 ≤ s - 8

1 + 8 ≤ s

9 ≤ s

Thus, the value of the variable s is greater than or equal to 9.

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Related Questions

joe can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must joe give Jack for the boys to finish the race at the same time?

Answers

88-55=33

33 second handicap

Joe must give Jake a 33 second catch up time period

George claims that he is 3 years less than 3 times as old as his niece Pam will be one year from now. Let p= Pam’s age now. Write an expression to represent George’s age. Then simplify the expression.

Answers

G = George's age

G = 3(P+1) - 3

G = 3P + 3 - 3

G = 3P

Diana sold 336 muffins at the bake sale bob sold 287 muffins. Bob estimates that he sold 50 fewer muffins than Diana. How did he estimate? Explain

Answers

he subtracted both numbers and got 49


The table shows the side lengths and perimeters of four squares. Side Length (x) Perimeter (y) 4.5 18 8.5 34 10.25 41 13.75 55 Which equation represents the relationship between the side length, x, and the perimeter, y?

Answers

Answer:

The equation will be:   [tex]y=4x[/tex]

Step-by-step explanation:

Side lengths[tex](x)[/tex] ⇒    4.5       8.5        10.25       13.75

Perimeter [tex](y)[/tex]    ⇒     18         34            41            55

First we will pick any two ordered pairs in form of point like [tex](x,y)[/tex]. So, here [tex](x_{1}, y_{1})= (4.5, 18)[/tex] and [tex](x_{2}, y_{2})= (8.5, 34)[/tex]

Now, the slope will be:  [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{34-18}{8.5-4.5}=\frac{16}{4}=4[/tex]

So, the equation using the point-slope form will be..............

[tex]y-y_{1}=m(x-x_{1})\\ \\ y-18=4(x-4.5)\\ \\ y-18=4x-18\\ \\ y=4x[/tex]

Thus, the equation that represents the relationship between the side length[tex](x)[/tex] and the perimeter[tex](y)[/tex] will be:  [tex]y=4x[/tex]

Answer:

y=4x

Step-by-step explanation:

What is 2 6/25 minus 1 1/10 in simplest form

Answers

Answer:

1 7/50

Step-by-step explanation:

2 6/25= 2 12/50

1 1/10= 1 5/50


2 12/50-1 5/50= 1 7/50

Step by Step:

[tex]2\frac{6}{25}  - 1\frac{1}{10}[/tex]

Subratact whole numbers 2-1: 1

Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]

1 + /frac{7}{50}

Answer:

A = 1/frac{7}{50}

Notes:

N/A

What is the value of the expression “eight more than three time the difference of four and a number” when n=3?

Answers

Hey there!!

Let's take the number as ' n '

Three times the difference of a four and number.

... 3 ( 4 - n )

Eight more than the expression.

... 8 + 3 ( 4 - n )

' n ' is given as ' 3 '.

Plugging in :

... 8 + 3 ( 4 - 3 )

... 8 + 3 ( 1 )

... 8 + 3

... 11

The required answer is 11.

Hope my answer helps!!  

whats the estimate of 1.537 times 242 and answer

Answers

Note that you are estimating.

Estimate each to the nearest whole number

Note that when rounding, look at the digit to the right of the one you want to round to. If the digit is 5 or greater round up, if 4 and lower, round down.

1.537 rounded to the nearest whole number is 2

2 x 242 = 484

484 is your answer

hope this helps

How many $1 bills are the same as one $100 bill?

Answers

you need 100 dollar bills to equal $100

The number of the bills will be 100 to equate to $100 bills.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a $1 bills are the same as one $100 bill. the number of the bills will be calculated as:-

Number = 100 x 1 = 100

Therefore, the number of bills will be 100 to equate to $100 bills.

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Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller account.​ (Let x be the amount of money in the larger account and y be the amount of money in the smaller​ account.)

Answers

Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

This creates two simultaneous equations:

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150

Final answer:

To solve the problem, we set up and solved a system of equations using the given information. We find that Keiko has invested $2150 in the smaller account and $3050 in the larger account.

Explanation:

Keiko has $5200 that she invested in two accounts. We're told the larger account is $900 more than the smaller one. Since we let x represent the amount of money in the larger account and y represent the amount of money in the smaller account, we can establish the following system of equations:

x + y = $5200 x = y + $900

Substituting the second equation into the first, we get:

(y + $900) + y = $5200

Solving for y from this equation, we obtain y = $2150, representing the smaller account. Substituting y into the original second equation, we find x = $3050, which is the larger account. Hence Keiko has $2150 in the smaller account and $3050 in the larger account.

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The ratio of chocolate cookies to sugar cookies in a bakery box is 2:1. What is the ratio of sugar cookies to total cookies?

Answers

1:3 becuase the sugar cookie part is 1/3 of the bakery's total number cookies.

Hope this helped!

Describe how you can use make a ten strategy to find the sum 7+9.
Help please 2 grade,

Answers

The answer would be 16,so it would be 10 then add 6
Final answer:

To find the sum of 7+9 using the make a ten strategy, start with the larger number, add 1 to it to make it 10, subtract 1 from the other number, and then add the resulting numbers together.

Explanation:Using the make a ten strategy to find the sum 7+9:Start with the larger number, which is 9.Add 1 to make it 10.Subtract 1 from the other number, which is 7. Now it becomes 6.Add the two new numbers: 10 + 6 = 16.

So, the sum of 7 + 9 is 16.

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there are approximately 4021/4 meters around a typical running track sandra has challenged herself to run 10 maps a day for 5 days how many meters will sandra run is she meets her challenge

Answers

Total distance of a typical running track  = [tex]402 \frac{1}{4} meters[/tex].

Let us convert it into impoerper fraction first, we get

[tex]\frac{402\times4+1}{4}=\frac{1609}{4}meters.[/tex]

Total number of maps in a day = 10 maps.

Number of days of running = 5 days.

Total number of maps of 5 days = 10 × 5 = 50 maps.

Total number of meters in 50 maps = [tex]50\times\frac{1609}{4}=\frac{80450}{4}=20112\frac{1}{2}\ meters.[/tex].

Therefore,  [tex]20112\frac{1}{2}\ meters[/tex] will sandra run is she meets her challenge

Which of the following describes the solution set for |-4+5x|=16? A{4}. B{4, -4}. C {4, -12/5}. D{-12/5}

Answers

Answer:

C:  {4, -12/5}

Step-by-step explanation:

Let's actually solve |-4+5x|=16:  Divide all 3 terms by 5.  Then:  |-4/5 + x| = 16/5.

If we were to graph this, the center (on a number line) would be at -4/5.  Now if we add 16/5 to -4/5, we get 12/5, the larger solution; if we subtract 16/5 from -4/5, we get -20/5, the smaller solution, equivalent to -4.  Correct answer choice is C.

This corresponds to option C.

The solution set for the absolute value equation |-4+5x|=16 can be found by considering both the positive and negative scenarios since an absolute value represents the distance a number is from zero on the number line, without regards to direction (positive or negative).

To find the solution set, we need to split the absolute value equation into two possible linear equations:

4 - 5x = 16-4 + 5x = -16

Solving the first equation gives us:

5x = 16 + 45x = 20x = 4

Solving the second equation gives us:

5x = 16 - 45x = 12x = 12/5x = 2.4

However, x = 2.4 does not make sense in the context of our original problem, because we are looking for the negative solution when we consider the equation -4 + 5x = -16. The correct step is:

5x = -16 + 45x = -12x = -12/5

Therefore, the correct solution set is {4, -12/5}, which corresponds to option C.

the game room of the youth center needs carpet. the room measures 3 feet by 2 feet on the blueprint. if the scale on the blueprint is 1 foot to 5 yards, what is the actual area of the game room?

Answers

The actual area of the game room would be 150 yards sq. or 450 sq. Ft. Here are some steps to clarify it.
1). (3•5)(2•5)
2). 15•10= 150 yards sq.
3). There are 3 feet in 1 yard so we’d multiply 150•3 to come to the conclusion of the Sq. Footage.
4) 150 yards sq. or 450 sq. Ft.
Final answer:

The actual area of the game room is 150 square yards.

Explanation:

To find the actual area of the game room, we need to convert the dimensions on the blueprint to actual measurements. The scale on the blueprint is 1 foot to 5 yards, so we can convert the length and width of the room by multiplying by 5. The room measures 3 feet by 2 feet on the blueprint, so the actual dimensions are 3 feet x 5 yards and 2 feet x 5 yards. Thus, the actual area of the game room is (3 feet x 5 yards) x (2 feet x 5 yards), which simplifies to 15 yards x 10 yards or 150 square yards.

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what is the result of converting 2.3 miles into yard? remember that 1 mile =1760 yards.

Answers

1760 multiplied by 2.3.


The answer being 4048.0 because there is one number behind the decimal

what is the result of converting 2.3 miles into yards

Answers

yards = miles × 1760

2.3 × 1760= 4048

2.3 miles into yards: 4048 yards
2.3 miles equals 4048 yards

in the number 2.348 the underlined digit is 3 what does it round to if its in the tenths place

Answers

It rounds down to 0 because 4 or lower rounds down and 5 or higher rounds up

I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.

2.348

The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.

Answer: 2.3

Perform the indicated operation.
1/3÷3/8
A) 1/8
B)8/9
C)1 1/8

Answers

1/3÷3/8

Multiply by reciprocal

1/ 3÷ 8/3

Now multiply across


1×8/3×3


Solve

8/9


Your answer is b .


REVIEW:

Numerator is the number on the top in a fraction. Denominator is the number at the bottom of a fraction.

[tex]\frac{1}{2} \rightarrow \frac{numerator}{denominator}[/tex]

Here is your equation:

[tex]\frac{1}{3} \div \frac{3}{8}[/tex]

When dividing fractions, you have to Keep, Change, then Flip.

[tex]Keep\ \frac{1}{3} \\ Change\ \div\ to\ \times \\ Flip\ \frac{3}{8} \rightarrow \frac{8}{3}[/tex]

Here is your new equation:

[tex]\frac{1}{3} \times \frac{8}{3}[/tex]

Multiply the numerators and denominators together:

[tex]\frac{1}{3} \times \frac{8}{3} = \frac{8}{9}[/tex]

Your answer is A. [tex]\frac{8}{9}[/tex]

If you have any questions, feel free to ask! :)

What is the solution of 4+sqrt5x+66=x+10

Answers

The solution for 4+√5x+66=x+10 is x=3 (option 2)

How to solve ?

Given equation: 4+sqrt5x+66=x+10

Subtract 4 from both sides;

[tex]\sqrt(5x+66) = x+6[/tex]

Square both sides:

[tex]5x+66 = (x+6)^2[/tex]

Simplify further, we get:

[tex]5x + 66 = x^2 + 12x + 36[/tex]

[tex]x^2 + 12x - 5x + 36 - 66 = 0[/tex]

[tex]x^2 + 7x - 30 = 0[/tex]

Factor the equation to get:

[tex](x + 10)(x - 3) = 0[/tex]

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Therefore, the solution of 4+√5x+66=x+10 is x=3 (option 2)

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Complete question:

What is the solution of 4+√5x+66=x+10?

1.x=-10

2.x=3

3.x=-10 or x=3

4.no solution

A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounce

Answers

Convert 12 pounds to ounces which is 192 ounces.

Divide the price by the ounces. That would get $0.09765625 rounded to $0.10 per ounce.

The unit price per ounce will be equal to $0.10.

What is an expression?

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

Given that:-

A shopper bought a 12-pound bag of oranges for $18.75 what is the unit price per ounce

The unit price per ounce will be calculated as:-

1 pound = 16 ounces

12 pounds = 12  x  16  =  192

Cost of 192 ounces = $18

Cost of unit ounce = 18  /  192

Cost of unit ounce  =  0.095156 ≅ $0.10

Therefore the unit price per ounce will be equal to $0.10.

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which equations are equal to x+x+x+2

Answers

x times 3 plus 2: answer

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=7 represents 2007.

Year x | Profits y
7 | 19.7
8 | 24.4
9 | 30.7
10 | 38.4
11 | 50.4
12 | 57.3
13 | 71.6


a.) sketch a graph

b.) use the slopes to determine the years in which the profits showed the greatest or least increases.

c.) find the equation of a line between 2007 and 2013

d.) interpret meaning of the slope and line from part (c) in the context of the problem

e) use the equation from part (c) to estimate the profit for Buffalo wild wings in 2017. Do you think that it is an accurate estimate. Explain.

Answers

a) See attached diagram.

b) The slope can be obtained by the formula:

[tex]m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.[/tex]

Now

[tex]m_1=\dfrac{24.4-19.7}{8-7}=4.7;[/tex][tex]m_2=\dfrac{30.7-24.4}{9-8}=6.3;[/tex][tex]m_3=\dfrac{38.4-30.7}{10-9}=7.7;[/tex][tex]m_4=\dfrac{50.4-38.4}{11-10}=12;[/tex][tex]m_5=\dfrac{57.3-50.4}{12-11}=6.9;[/tex][tex]m_6=\dfrac{71.6-57.3}{13-12}=14.3;[/tex]

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

[tex]y\approx 0.71x^2-5.58x+23.76.[/tex]

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

[tex]y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09[/tex]

Answer:

Step-by-step explanation:

The perimeter of a triangle is 28 feet. One side of the triangle is 5 feet longer than the second side. The third side is 8 feet longer than the second side. Find the length of each side.

Answers

side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).

The lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

Let's assume the second side of the triangle has a length of x feet.

According to the given information, the first side of the triangle is 5 feet longer than the second side, so its length would be x + 5 feet.

Similarly, the third side is 8 feet longer than the second side, so its length would be x + 8 feet.

The perimeter of a triangle is calculated by adding the lengths of all three sides, so we can write the equation:

x + (x + 5) + (x + 8) = 28

Now let's solve this equation to find the value of x:

3x + 13 = 28

3x = 28 - 13

3x = 15

x = 15 / 3

x = 5

So, the second side of the triangle has a length of 5 feet.

Using this value, we can find the lengths of the other two sides:

First side: x + 5 = 5 + 5 = 10 feet

Third side: x + 8 = 5 + 8 = 13 feet

Therefore, the lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.

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an employee is marking up new merchandise by 35%. the price they paid for an item is $120. what price will the employee place on the item?
A:$150
B:$155
C:$165
D:$162

please show work thank you!

Answers

The answer would be D: $162 because $120 x 35% or (0.35) = $42 so $120 + $42 gives you $162
$120/35%=42
$120+42=$162
The answer to this question is $162

The heart of an elephant at rest, will beat an average of 1320 beats in 60 min. What is the rate in beats per minute?

Answers

The answer is 23 beats

is square meters a type of surface area

Answers

Yes square meters is a type of surface area.

I know the answer to the problem 94x27=2538 but can't figure out how to show my work in core math.

Answers

94*27=2538

90*20+4*7+20*4+90*7=2538

1800+28+80+630=2538

2538=2538

You and your mom enter a drawing with 3 different prizes. A total of 8 people entered the drawing, and prizes are awarded randomly.There are 336 ways to award the prizes.What is the probability that you win first prize and your mom wins second prize?
A. 8/336
B. 1/8
C. 6/336
D. 1/336

Answers

It's actually C. 6/336

Answer: [tex]\frac{6}{336}[/tex]

Step-by-step explanation:

Given: The Number of different prizes = 3

The number of people entered the drawing room = 8

The number of ways to select for 3 prizes, such that  you win first prize and your mom wins second prize = You × Mom × Rest of people

[tex]1\times1\times(8-2)=1\times6=6[/tex]

The total number of ways to award the prizes = 336

Therefore, the probability that you win first prize and your mom wins second prize=[tex]\frac{6}{336}[/tex]

I need to know what 1608 divided by 6 is plz

Answers

1608 divided by 6 is equal to the quantity of 268.

We can verify this by multiplying 268 by 6.

268 * 6 = 1608.

16/6=2 Ramander 4

4 bring the 0 down is 40.

40/6=......... If you need it the long way.

short way

1608/6=268

**PLEASE NEED HELP BADLY ASAP**

Answers

Minimum value is when x = 6 and y = -7

Answer

C) (6 , -7)

The minimum would be the lowest point of the line.

The lowest point in the picture is in the lower right hand corner which is located at (6,-7)

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