James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.



Please help!!!

Answers

Answer 1

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.


Related Questions

I need help on this question

Answers

The answer I think is36

Answer:

X^2+13x+40=area

Step-by-step explanation:

So its

(x+8)*(x+5)

Now solve

Use FOIL

x^2+5x+8x+40

Now combine

x^2+13x+40

There you have it

Zohad has $30 in a savings account that earns 15% interest per year. How much interest will he earn in 4 years?

Answers

Answer:

30/100 X 15 = 4.50

4.50 X 4 = 18

$18

3 people can build a shed in 8 hours.
How long would it take 5 people?
Give your answer in minutes.

Answers

3 people x 8 hours is 24 hours/ 5people = 4hours and 48 minutes

Answer:

The answer is 288 minutes

Donna rides her bike at a rate of 19/2 mph how many miles can donna travel in 1/3 of an hour

Answers

Answer:

19/2 = 9.5.  This is the speed she can ride in a single hour.  At that speed, she would travel 9.5/3 miles in 1/3 of an hour.  9.5/3 = 3.1666666666666667

Step-by-step explanation:

How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

Answers

Answer:

no solution

Step-by-step explanation:

3x + 13 = 3x + 18 +1

<=> 0x = 6 (impossible!)

Answer:

zehero

Step-by-step explanation:

Convert -4x+y=5 to slop intercept form​

Answers

Answer: -4x + y = 5 in slope intercept form is 4x + 5

Answer: y= 4x + 5

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y = mx + b

Rewrite in slope-intercept form.

Add 4x to both sides of the equation.

y = 5 + 4x

Reorder 5 and 4x.

y= 4x + 5

7 1/2 ÷ 3 3/4 equals?

Answers

The correct answer is 2

Answer:

2

Step-by-step explanation:

need rn! worth 25 points (you MUST answer BOTH questions) 谢谢你!

Answers

Answer:

Number 1 - 3 terms (B)Number 2 - 2nd and 3rd options

Number 1 Explanation:

Terms are separated by addition or subtraction signs.There are three parts separated by two addition/subtraction signs.That means there are three terms.

Number 2 Explanation:

Polynomials can't have negative exponents.Polynomials can't have fractional exponents on variables or roots of variables.For the first option, [tex]\frac{1}{x}[/tex] can also be written as [tex]x^{-1}[/tex], so it has a negative exponent and is not a polynomial.The second and third options follow polynomial rules.The fourth option has [tex]x^{\frac{1}{2} }[/tex], which is the same thing as [tex]\sqrt{x}[/tex]. Polynomials can't have roots of variables (or fractional exponents on variables), so this isn't a polynomial.

The perimeter of a rectangle is 28 inches. The length is 6 less than 3 times the width. What is the length of the rectangle?

Answers

Answer: The length is 9 inches.

Step-by-step explanation:

L = 3w - 6 (the length is 6 less than 3 times the width).28 = 2(3w - 6) + 2w (plug in width and length --> multiplied by 2 because of perimeter).28 = 6w - 12 + 2w (distribute)28 = 8w - 12 (combine like terms)40 = 8w (add 12 to both sides)5 = w <-- width

Find the length:

L = 3w - 6L = 3(5) - 6L = 15 -6L = 9 in

Answer:

The length is 9.

Step-by-step explanation:

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

Answers

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

Learn more about the ratio visit:

https://brainly.com/question/169670

#SPJ2

This one is hard but I hope someone can help me out

Answers

Step-by-step explanation:

please where is the question

Answer:

that one seems a little bit too hard....

Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?

A.
B.
C.
D.

Answers

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

What effect does inflation have on the prices of goods and services?

A. Prices decrease

B. Prices double

C. Prices increase

D. Prices stay the same

Answers

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

Eli is deciding between two landscaping companies for his place of business. Company A charges $25 per hour and a $300 equipment fee. Company B charges $50 per hour and a $125 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine which company would be cheaper if Eli needs 5 hours of landscaping.

Answers

Answer:

Company B will charge cheaper in 5 hours

Step-by-step explanation:

Step one:

Given data

Company A

charges $25 per hour and a $300 equipment fee

let the total be

A= 300+25t---------------1

Company B

charges $50 per hour and a $125 equipment fee.

let the total be

A= 125+50t---------------2

put t = 5 in the two expressions above

A= 300+25t---------------1

A= 300+25*5

A=300+125

A=$425

B= 125+50t---------------2

B= 125+50*5

B=125+250

B=$375

Answer:

A = 25t + 300 B = 50t + 125

company B is $50 cheaper than company A for 5 hours of landscaping

Plssssss help asp it about math and other things pls

Answers

Answer:

1) Actual cost was $5,762.50

2) Joe's birthday is on January 1st.

Step-by-step explanation:

1) To find this, since we know they were wrong by an identical amount and one was over and the other was under, we can average the cost to find the difference between the amounts. Then we can add that difference to the lower (or subtract it from the higher) amount:

6950 - 4575 = 2375

2375 / 2 = 1187.50

4575 + 1187.50 = $5,762.50

2) Joe could turn 21 on January 1st, but was 20 on December 31st. Next year Joe would turn 22 on January 1st.

I hope this helps!

-TheBusinessMan

Okay I need 1 and 2 please help

Answers

Answer:

1. x=2 y=4

2. x=2 y=2

Step-by-step explanation:

Mika has a goal of folding at least 120 paper swans. He can fold 12 paper swans per hour. Which inequaility can Mika use to find h, the number of hours he should fold paper swans to meet or exceed his goal?

Answers

Answer: it would take him 10 hours to make 120 paper

Enter the correct answer in the box. Linear function fis shown in the graph. Write the slope-Intercept form of the equation representing this function.​

Answers

Answer:

2x+(-7)

Step-by-step explanation:

the point 2 goes through the intercept and -7 goes through the y- intercept

I'm not sure what AAS,SAS,SSS,ASA mean .how do I solve this?​

Answers

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two  angles and the corresponding nonincluded side of a second triangle, then  the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two  sides and the included angle of a second triangle, then the two triangles  are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second  triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two  angles and the included side of a second triangle, then the two triangles  are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

Please help me! I will brainliest u

Answers

Answer:

<

Step-by-step explanation:

Answer:

m D = m C

Step-by-step explanation:

I'll explain later... I have exams hhh

3
The following scores of an AP Bio course are listed below. Mr. B wants to figure out the class median for the set of data.
99, 68, 79, 81, 99, 65, 73, 96, 87, 83, 73, 73, 86, 83, 72, 73
What is the median score of data?
79
B 80
73
D 96
81


Answers

Answer is 79 because of the greatest to least in order

Item 10
Find the interquartile range of the data.

8, 2, 14, 12, 10, 4, 4, 6

Answers

Answer:

7

Step-by-step explanation:

Someone help me with this ASAP

Answers

Answer:

140

Step-by-step explanation:

The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140

x = 140

A water tank fills as shown in the graph below. What is the slope of the line?

Answers

Answer:

1/3

Step-by-step explanation:

Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?

Answers

Answer:

[tex]14[/tex]

Step-by-step explanation:

We can set up the following system of equations:

[tex]\begin{cases}10d+5n=150\\d+n=22\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for [tex]d[/tex]:

[tex]10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8[/tex]

Plugging [tex]d=8[/tex] into any of the two equations will let us solve for [tex]n[/tex]:

[tex]8+n=22,\\n=\fbox{$14$}[/tex].

Therefore, she has 14 nickels.

A dishonest shopkeeper has two false balances. one balance weighs 10℅ more while buying the goods while other weighs 10℅ less while selling the goods. Find his gain percent just by weighing.

Answers

Answer:

gain percentage is 100 % the both percentage sums up to be 100%

Step-by-step explanation:

90+110=200/2

=100

HELP ME PLEASE
I WILL BRAINLIEST U

Answers

Answer:

that is corresponding

What is the probability of the complement of spinning an even number by using the spinner below?

A spinner is split into 8 equal parts labeled 1, 2, 3, 4, 1, 2, 3, 5.
StartFraction 3 over 8 EndFraction
One-half
StartFraction 5 over 8 EndFraction
StartFraction 7 over 8 EndFraction

Answers

Answer:

C

Step-by-step explanation:

6. Solve each equation and check your solution. 3x - 6 = 4(2 - 3x) - 8x
1/2z + 6 = 3/2(z + 6)
9 - 7w = 8w + 8

Answers

Answer:

Multiple answers (Work & answers below)

Step-by-step explanation:

Help me order the side from shortest to longest

Answers

Answer:

Step-by-step explanation:

AB BC AC

(I’m not sure, If Im wrong let me knoww ❤️❤️)

Answer:

AC BA BC shortest to longest.

Step-by-step explanation:

All triangles have 180o in their interior angles. So A + B + C = 180

5x - 4 + 2x + 3 + 3x - 9 = 180      Combine the like terms on the left.

10x - 10 = 180                               Add 10 to both sides

10x - 10 + 10 = 180 + 10

10x = 190

x = 190/10

x = 19

So <A = 5x - 4 = 91

<B = 2x + 3 = 41

<C = 3x - 9 = 48

Total             180

So the largest Line is opposite 91 and it is BC

The Middle sides line is opposite 48 and it is BA

The smallest line is  opposite 41 and it is AC

AC BA BC shortest to longest.

Other Questions
Find the value of x. Which of these is an opinion?Ellen O'Neill-Stephens started a group that trains courthouse dogs.B Bruin's job is to sit quietly in a Michigan courtroom.C There are more than 180 trained courthouse dogs in 35 states in the U.S.DDogs are the best courthouse support animals for children in court. Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.C(x) = ______________If Warren has budgeted 434 dollars for the rental, how many days can he afford? HELPPP!!! ASAPPP!!!!What is the importance of the amniotic egg? A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make. HURRY PLEASE....... Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios. Which table shows the same data? What is the best way forpeople who are lactoseintolerant to receive the healthbenefits of dairy products? Explain how indigenous languages have been under threat from primary economic activities in the Americas since the 1970s. Write an equation of a line with the given slope and y-intercept: m=-1, b=-9 .y = x-7y = -4x + 3whats their intercepting points Which ends up with half the number of chromosomes? Sara earns $80.50 for 7 hours of pet sitting. She earns the same amount per hour each time she pet sits. How many hours does Sara need to pet sit to earn $138 Photosynthesis and respiration are best described as 1.Different names for the same reaction2.Reactions that can only happen in plants3.Reactions that are almost perfect opposites4.Reactions that do not happen in living things After clearing immigration you will head tothe security checkpoint. Where you and yourbag are scanned by an x-ray machine andmetal detector to make sure you do not haveany drugs or weapons. After you and bags arechecked you will be sniffed by police dogsand then you go get your luggage.If theysuspect something is in your bag it will besearched by a customs officer who will alsocollect your custom declaration form. Theflight home has a slightly different procedure.After checking in and receiving your boardingpass you head to the passport control boothto clear immigration. You will show yourpassport and boarding pass to officer andgive back the other half of your tourist card.Your passport gets stamped and you gothrough securityCan someone please translate this Which of the following is an example of a monomer and a monosaccharide:A maltoseB. galactoseC. glycineD. sucrose 7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth. A. 32.2 m B. 8.0 m C. 10.0 m D. 5.0 m Explain the difference between a child and an adolescent that is going through Puberty in either a male or femaleI will give brainliest can someone pls help!!!! 4) Robert B. Parker is a popular writer of detective novels, most of his books are about a private eye.10 PointsO Run-onFragmentO Complete Large cells have more volume on the inside and less space on the outside. (Compared to a smaller cell) Because of this, large cells have trouble; A) dividing B) producing daughter cellsC) moving materials in and waste products outD) making copies of their DNAHeeeeeellppp plzzzz