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

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

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.

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

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

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....

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

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:

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! :)

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:

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:

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:

Item 10
Find the interquartile range of the data.

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

Answers

Answer:

7

Step-by-step explanation:

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.

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:

7 1/2 ÷ 3 3/4 equals?

Answers

The correct answer is 2

Answer:

2

Step-by-step explanation:

HELP ME PLEASE
I WILL BRAINLIEST U

Answers

Answer:

that is corresponding

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

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:

Okay I need 1 and 2 please help

Answers

Answer:

1. x=2 y=4

2. x=2 y=2

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

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

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.

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

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

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

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

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 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

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.

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.

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