I have chosen 4 MYSTERY INTEGERS. At least one is positive and one is negative.
Follow these clues to figure out my integers. BE SURE TO EXPLAIN YOUR REASONING!
1. The sum of the four integers is (-6)
2. When you order the integers from LEAST to GREATEST the difference of the middle two integers is (-4) and the sum is 0
3. The quotient when you divide the LEAST integer by the GREATEST is (-3)
4. The product of the two greatest integers is (+6)

Answers

Answer 1
Let the four numbers be A,B,C,D in ascending order.

The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.

Given that the product of the two greatest numbers is 6, we have C*D=6, or 
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3  ok.

So the numbers are
A=-9, B=-2, C=2, D=3.



Related Questions

−20≤5/9(F−32)≤−15 I don't have a calc. for fractions, its at school

Answers

The simplified form of the inequality expression is −4 ≤ F ≤ 5

Using the inequality expression given:

−20≤5/9(F−32)≤−15

multiply through by 9

−180 ≤ 5 (F−32) ≤ -135

−180 ≤ 5F - 160 ≤ -135

Add 160 to all sides of the expression

−20 ≤ 5F ≤ 25

divide through by 5 to isolate F

−4 ≤ F ≤ 5

The simplified form of the inequality expression is −4 ≤ F ≤ 5

Complete Question:

Simplify the inequality: −20 ≤ 5/9(F−32) ≤ -15

If something starts out costing $500, and then is marked down by 25% on each of three separate occasions,what is the final price

Answers

First markdown:  0.75($500) = $375
Second markdown:  0.75($375) = $281.25
Third markdown:     0.75($281.25) = $210.94

I need to find the value of each variable.

Answers

Use a projector. Great. Then solve 3 · y and 5 · x + 2. Don't know how to use the projector? There's videos about it, but I'll teach you. Your projector has a hole. Mark the point of the vertex..



Wait, I don't know how to explain this.. Now let's pretend that you already have measured the angles. Now you might should divide it. C [divided by] 3 = y. For D, it'll be a little different. D [divided by] 5 - 2 = x. (Sorry can't make a division sign my keyboard doesn't have it) Now that's your answer(s). Bye.

Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?

1 - 2n ≥ 5
2n - 1 ≥ 5
2n - 1 > 5
1 - 2n > 5

Answers

the last one is ur answer

Answer:

1 - 2n > 5. The solution set is (-∞, -2)

Step-by-step explanation:

We are dealing here with two problems:

First, to determine which mathematical statement represents "One less than twice a number is no less than five".Second, solve n, that is, the solution set for the numbers that solve the inequality.First Part: Identifying the inequality

"One less than twice a number" can be written as  [tex]\\1 - 2n[/tex], where n is the unknown number.

If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is  " > " (greater).

As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:

[tex]\\1 - 2n > 5[/tex].

Second Part: Finding the solution set

The solution set for this inequality is as follows:

[tex]\\ 1-2n > 5[/tex] ⇒

Subtract -1 from each member of the inequality:

[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]

Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:

[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]

[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]

[tex]\\ n < -2 [/tex]

The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:

Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].

Katie is building a rectangle wall.the wall will be 332 bricks wide and 39 bricks tall. She has 15000 bricks.does she have enough bricks to build the wall?explain. Show your work

Answers

First find the area. 39*332=12,948. 12,948 is less than 15,000, so yes, she has enough bricks.

What is a artafart and a Earth quack?

Answers

Aftershocks occur after the most major part of an earth quake happens. Earthquakes occur at fault lines near the tectonic border. They occur because of the sudden movement for staying rigid while they were edging closer and closer. So the sudden movement releases a large amount of tension buried deep below the earth creating or resulting in an earthquake.

Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. What fraction of a mile can Student C run in one minute?

Answers

1/10 of a mile. 4/5 is equivalent to .8, and dividing that by 8 would give you .1, and that is equivalent to 1/10.

Use the grid to create a model to solve the percent problem. What is 40% of 30? 2 5 10 12

Answers

Divide 30/.4 because 40%v of 100 is .4.
The answer is 12.

The answer is 12. Hope this helps

-24/7 divide long divison enter your answer as mixed number in simplified form

Answers

You always want to divide the top number by the bottom, so it is -24/7. If you divide that, you get a very long decimal. So the easiest way to do this is to make a mixed number. 
7 goes into 24 3 times. that means 3 is the whole number. 7 times 3 is 21, so you subtract 24-21 and you get 3. The denominator always stays the same, so you are left with 3/7. 
the mixed number would be 3 3/7.
But the negative is still there from the beginning, meaning it would be -3 3/7.

Simona si Andrei au impreuna 648 de lei. Andrei are o suma de trei ori mai mare decat a Simonei. Cei doi copii hotarascsa cumpere un joc Lego care costa 128 de lei. Afla cati bani ii raman fiecarui copil, stiind ca ei au cheltuit sume egale.

DATI-MI VA ROG RASPUNS SI EXPLICATIE XX DAU COROANA XX

Answers

648= 3 x a
3 x a=648 
Take 648 divide by 2 get 224 
divide 224 by 2 get 112 multiply by 3 get 336 
648 - 336 equals 312 
312=s  336=a 
s + a = x 
312 - 64 + 336 - 64 = 
312 -64= 248 
336 - 272 
x= 336 - 272 
336 - 272= 64 
64 x 3= 192 
so Simone has 192



After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?

Answers

The expression is [tex]\displaystyle { (\displaystyle{x} ^{\displaystyle{ 16})^{\displaystyle{ \frac{3}{4}}[/tex].

By exponents laws, we have [tex]\displaystyle { (a^b)^c=a^{b\cdot c}[/tex]. Applying this rule, we have:

[tex]\displaystyle{ (x^{\displaystyle16})^\displaystyle \frac{3}{4} [/tex][tex]=\displaystyle x^{\displaystyle16\cdot \displaystyle\frac{3}{4} }=x^{\displaystyle4\cdot3}=x^{12}[/tex]


Answer: 12

Round 13.989 to the nearest tenth

Answers

14 is your answer



hope this helps


Salutations!

Round 13.989 to the nearest tenth

To round the number to the nearest tenth, you need to know whether the number next to the tenth's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.

→ 13.986 rounded to the nearest tenth  is ≈ 14.

Hope I helped (:
Have a great day!

You are adding two rational numbers with different signs.how can you tell if the sum will be postitive a negative or zero?

Answers

This is the rhyme that I use:

Same signs add and keep. Different signs subtract. Take the sign or the larger number and you will be exact.

If you have any questions than just ask me.

Caffeine Castle buys bulk coffee to sell. The cost of 5 pounds of imported coffee is $60. What is the unit rate in cost per pound?

Answers

Hey there! :) The answer to your question is $12 per pound. To find a unit rate you divide $60/5= $12. To double-check, 1 pound is $12, 2 pounds is $24, 3 pounds is $36, 4 pounds is $48, and lastly 5 pounds is $60. I hope you have a great day, and keep smiling! :D Also hoped I helped! ;)

Write 4,857 in words

Answers

Four thousand eight hundred fifty seven
LOL... it's four-thousand eight-hundred fifty-seven

4.2x10^6+2.25x10^5+2.8x10^6

Answers

The answer I’m guessing could be 7225000

solve for M

5 + 2m = 3 + m

m = ??

Answers

m=-2

5+2m=3+m
-m -m ( subtract m from both sides
5+m=3
-5 -5
m=-2
   5 + 2m = 3 + m
       - 2m        - 2m
---------------------------
   5 = 3 - m
  -3  - 3
----------------------
   2 = -m
 -----  ------
  -1     -1

m = -2

I NEED THIS QUICKLY 3(x+4)-4=2(x+4) +x

Answers

okay first distribute

3x +12 -4 = 2x +8 + x

combine like terms 

3x + 8 = 3x +8

to get the x on one side you must subtract 3x

no solution is the answer


3x+12-4=2x+8+x
3x+8=3x+8
3x-3x=8-8
hence,
0=0

What's 4+ -1 1/3 as a fraction in simplest form

Answers

4 + -1 1/3 

Turn 4 into an improper fraction.

4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.

New question :

12/3 + - 1 1/3

Turn {-1 1/3} into an improper fraction.

(3 × 1) + 1  = 4/3

So, -1 1/3 = -4/3

Our new question :

12/3 + - 4/3

Simplify.

12/3 - 4/3 = 8/3

Turn into a mixed number.

2 2/3

~Hope I helped!~


an art dealer makes a 17.5 percent commission on every painting sold if a painting sold for 1,500 dollars what was the commission

Answers

Hello! An art dealer makes 17.5% commission with every painting sold. So, he sells a $1,500 dollar painting. To find the amount of commission, we have to do some multiplication. 1,500 * 17.5% (0.175) is 262.5. The art dealer got $262.50 worth of commission.

For this question you have to solve for c and show work

Answers

I THINK IT MIGHT BE 240
ok so distributive property 3.4c -5c -1 = -12.2 do like terms -1.6c - 1 = -12.2 like -+1 is negative add one to every side -1.6c = -11.2 now divide both sides to get 7 so c =7

Mr. Hollins determined that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget? Please show your work...

Answers

Well since 800 is 16% of X

400= 8%
200= 4%

200x25=5,000

Budget is $5000

Answer:

Find out the  how much is his overall budget .

To prove

Let us assume that the overall budget of Mr.Hollins be x.

As given

Mr. Hollins determined that he gives away $800 each month.

If he gives away 16% of his budget.

16% is written in the decimal form.

[tex]= \frac{16}{100}[/tex]

= 0.16

Than the equation becomes

x × 0.16 = 800

[tex]x = \frac{800}{0.16}[/tex]

x = $5000

Therefore the overall budget of Mr.Hollins be $5000 .




plz answer fast. Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy?

Answers

She can buy 4 tickets


Answer:

Its B, ≤ 4

Step-by-step explanation:

how can you compare and order rational and irrational numbers

Answers

Rational numbers are terminating or are repeating

To compare and order rational and irrational numbers, convert rational numbers to decimals and compare them directly, and for irrational numbers, compare their approximate decimal values.

Comparing and ordering rational and irrational numbers involves understanding their magnitude on the number line.

Let's compare 3 rational and irrational numbers: [tex]\( \frac{5}{3} \), \( \sqrt{2} \), and \( -\frac{4}{7} \).[/tex]

1. [tex]\( \frac{5}{3} \)[/tex] is a rational number, as it can be expressed as a fraction.

2. [tex]\( \sqrt{2} \)[/tex] is an irrational number, as it cannot be expressed as a fraction.

3. [tex]\( -\frac{4}{7} \)[/tex] is a rational number, a negative fraction.

To compare them:

1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]

2. [tex]\( \sqrt{2} = 1.414 \)[/tex]

3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]

Ordering them:

[tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]

Calculation:

1. [tex]\( \frac{5}{3} = 1.67 \)[/tex]

2. [tex]\( \sqrt{2} = 1.414 \)[/tex]

3. [tex]\( -\frac{4}{7} = -0.57 \)[/tex]

Order: [tex]\( -\frac{4}{7} < \sqrt{2} < \frac{5}{3} \)[/tex]

So, [tex]\( -\frac{4}{7} \)[/tex] is the smallest, followed by [tex]\( \sqrt{2} \)[/tex], and [tex]\( \frac{5}{3} \)[/tex] is the largest. This is because irrational numbers lie between rational numbers and have a greater magnitude.

Complete Question:

How can you compare and order rational and irrational numbers ?

The quotient of 25 and t plus 6 is the same as twice t plus 1. Turn into equation!

Answers

25/t + 6 = 2t + 1
solve the equation from there
(1- 6)
25/t = 2t + -5
25/t x 2t = -5
50t = -5
t = -1/10


Answer: The answer would be 25/t + 6 = 2t + 1

Express the volume of each cube as a monomial m

It's a cube with 4r^3s help

Answers

The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.

To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:

[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]

This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.

Molly has 24 muffins,18 breakfast bars,and 12 bottles of juice to be distributed evenly among a certain number of welcome baskets she wants to package the maximum number of welcome baskets that will contain the same combination of muffins breakfast bars and bottles of jucie which shows the correct number of muffins breakfast bars and juice bottles among with the proper explanation circle all that apply

Answers

So there are 24 muffins, 18 Breakfast bars, and 12 bottles of juice. You would write that ratio as 24:18:12. You would want to make the juice box got down to 1. So you would divide all the numbers in the ration by 12. Your new ratio would be 2:1.5:1. Since you don’t want to break one of the bars in half, you would round down to maximize your baskets, so it would be 2:1:1. You could make exactly 12 baskets and have some breakfast bars left over.

Answer: Hello mate!

We want to distribute 24 muffins, 18 breakfast bars and 12 bottles of juice evenly into baskets, and we want to know the maximum amount of baskets that makes this possible.

This means that we are looking for the maximal common factor between 12, 18 and 24.

To find it, you can took the smallest number in the set, in this case, 12, and look at his divisors, then see if these divisors also divide the other numbers in the set.

Let's do it:

The biggest divisor of 12 is 6, because of 12/6 = 2.

Now 18/6 = 3, so 6 is also a divisor of 18.

24/6 = 4, then 6 is also a divisor of 24.

Then the maximal common factor of the numbers 12, 18 and 24 is 6.

This means that the maximum number of baskets that have an even distribution of the things is 6, where each basket has 2 bottles of juice, 3 breakfast bars, and 4 muffins.

Function Question!!!!!!!!

Answers

Choice A) The vertical line test confirms that the graph is a function
True. It is impossible to pass a single vertical line through more than one point on this graph. 
--------------------------------------------
Choice B) The domain is x >= 2
False. The domain is the set of all real numbers
--------------------------------------------
Choice C) The range is y >= 2
True. The smallest y value possible is y = 2. This is where the lowest part of the graph occurs.
--------------------------------------------
Choice D) This piecewise function is made up of four intervals
False. There are two intervals (the curved one on the left; the straight piece on the right)
--------------------------------------------
Choice E) Each interval of the piecewise function contains a graph of a linear function.
False. While the piece on the right is linear, the left portion is nonlinear (curved piece).
--------------------------------------------
In summary we have:

choice A) true
choice B) false
choice C) true
choice D) false
choice E) false

So the answers are choice A and choice C

Max drives 348 miles in 6 hours. if Max drives at a constant speed. How many miles does he drive per hour?

Answers

Max drives at 58 miles per hour.

Mrs. Sanchez is given a $550 hiring bonus with a new job. She earns an average commission of $275 per week for the year. If $68 is subtracted each week for taxes and benefits, how much does she earn in commissions and bonus for the year?

Answers

Mrs. Sanchez earns a total of $11,314 in commissions and bonus for the year, calculated by adding her annual net commission of $10,764 to her hiring bonus of $550.

How much Mrs. Sanchez earns in commissions and bonus for the year:

1: Calculate her weekly net commission.

She earns $275 per week in commission.

However, $68 is deducted for taxes and benefits, leaving her with:

Weekly net commission = $275 - $68 = $207

2: Calculate her annual net commission.

Assuming she works 52 weeks a year (standard for full-time employment):

Annual net commission = $207/week * 52 weeks/year = $10,764

3: Add the hiring bonus to her net commission.

Her total earnings from commissions and bonus are:

Total earnings = $10,764 + $550 = $11,314

Therefore, Mrs. Sanchez earns $11,314 in commissions and bonus for the year.

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