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

Find the slope of the line that passes through (10,9) and (1,1).

Answers

8/9


hope this helps

Answer:8/9

Hope this helps!!!!!!!

///////////////////////////////////////////////////////////////////////////////////////////////////////////

Please help me with this!!

Answers

Answer:
2 dollars each

Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.

EXERCISE 13.1
1. Following are the car parking charges near a railway station upto
4 hours
£60
8 hours
£100
12 hours
£140
24 hours
£180

Answers

Answer:

what is the calculation question you want in money

6 x 2/3 x 2 1/2 = what plss help

Answers

Answer:

10

Step-by-step explanation:

Answer

10

Step-by-step explanation:

Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 

Answers

Since there are a total of 6 cups of cilantro just multiply 3 1/3 by 6.
Jim will need 20 cups of tomato sauce.

answer this guys.....​

Answers

9514 1404 393

Answer:

  (b)  25 cm²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  ar(ΔABC)/ar(ΔDEF) = (AB/DE)² = (1/2)² = 1/4

Then ...

  ar(ΔABC) = (1/4)(100 cm²) = 25 cm² . . . . . multiply by ar(ΔDEF)

The area of ΔABC is 25 cm².

Need Help Please answer and Find the measure of the exterior angle of the triangle.

Answers

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

I dont understand pls help me

Answers

Answer:

the answer is the option B 35

Step-by-step explanation:

first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35

[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]

5(3+4) is the same as 5•3 and 5•4
which ends up to be 15+20=35

Need help with explicit rule. Please help.

Answers

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Solve for x. 5 = 1/5x -3​

Answers

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS

Graph the following equation.
y = 3x + 4

Answers

Ok I need a graph?!?!?!???!

Please help, I don’t know how to solve this

Answers

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

Use the linear combination method to solve this system of equations. What is the value of x? 3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1 Negative 6 Negative 3 and two-thirds 3 and two-thirds 6

Answers

Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer:

x = -3 2/3

Step-by-step explanation:

LOOK AT PICTURE look at picture

Answers

Answer:

-25.776

Step-by-step explanation:

-7.2

x 3.58

Multiply to get the sums and add them together to get your answer.

Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?

Answers

1/2 yards = 18 inches
1/3 yards = 12 inches
30 inches in total
30/36
simplify
5/6

PLEASE ANSWER I WILL MARK AS BRAINLIEST

The Bobcats football coach logged the following yardage gains and losses over four plays of a game.

Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?

Enter your answer as an expression, like this: 42x+53y

Answers

I think the answer is the tthhiirrdd one

The expression to represent the net yardage is 30.5x+12.9y.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

70 points! Will mark brainliest! What is 2sqrt5 rounded to the nearest tenth? Random answers will be reported

Answers

Answer:

4.5

Step-by-step explanation:

I just use a calculator for this.

2 sqrt 5 = 4.4721

If we round off to the nearest tenth, it would be 4.5.

Answer:

Solution given:

2√5 =4.5 is your answer.

Solve by the substitution method. 8x + 9y=56 -9x + y = 26​

Answers

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?

Answers

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

The time to assemble the remaining fraction of the bottle is 3.5 hours.

Time to assemble one-eight of the bottles

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

Remaining fraction

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

Time to assemble the remaining fraction of the bottles

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133

What is the product of d – 9 and 2d2 + 11d – 4?

2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36

Answers

Answer:

A.

2d3 – 7d2 – 103d + 36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Plz help u will get branliest!

Answers

For #2, the answers could be 4/6 or 6/9

For #3, the answers could be 2/4 or 3/6

For #4, the answers could be 8/10 or 16/20

For #5, they both equal each other

For #6, they both do not equal each other

For #7, they both do not equal each other

For #8, they both equal each other

For #9, they both equal each other

For #10, they both do not equal each other

For #11, they both equal each other

For #12, they both do not equal each other

I think #13 can be 1/3 and 2/6 since 4/12 is vanilla

I don’t know #14

for what value of M is the equation an identity 4x^2-x+M=3x^2+x+2

Answers

Answer:

[tex]m=3x^{3} +2[/tex]

Step-by-step explanation:

[tex]4x^{2} -x+m=3x^{2} +x+2[/tex]

[tex]4x^{2} +m=3x^{2} +2x+2[/tex]

[tex]x^{2} +m=2x+2[/tex]

[tex]m=3x^{3} +2[/tex]

I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST

Answers

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

3x + 15 = 4x + 12

25 POINTS, AND BRAINLIEST IF YOU'RE CORRECT!

Please help, I need a step-by-step solution. I don't understand how to do this, and I'm willing to learn. ​

Answers

Answer:

[tex]3x + 15 = 4x + 12 \\ 4x - 3x = 15 - 12 \\ \boxed{x = 3}[/tex]

x=3 is the right answer.

2
which one of the following mappings
represents y as a function of x?
A
18
24
27
3
4
12
18
24
27
2
6
12
18
24
27
2
3
6
12
18
24
27
8.56

Answers

It could be 4?? I could be wrong tho, sorry if I am!

x = [?]
5x - 5
2x + 10

Answers

Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocolate candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell?

Answers

Answer:

Number of cinammon = 12

Number of chocolate = 21

Step-by-step explanation:

Given that:

Cost of Cinnamon candle , c = $3.50

Cost of chocolate candle , d = $2.50

Total amount raised, T = $94.50

d = 2c - 3

Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)

94.50 = (3.50 * c) + (2.50 * (2c-3))

94.50 = 3.50c + 5c - 7.5

94.50 = 8.50c - 7.5

94.50 + 7.5 = 8.50c

102 = 8.50c

c = 102 / 8.50

c = 12

d = 2c - 3

d = 2(12) - 3

d = 24 - 3

d = 21

Answer:

D.) 21

Step-by-step explanation:

A sweater that costs $32 is being marked down 30%. What is the new price of sweater?

Answers

You do 32-30% in which 30%=8.60
So you do 32-8.60 in which you get

$23.40

plz help !!!!!!!!!!!!

Answers

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29

What is the slope of the line plz help

Answers

The answer is 3/1
Have a good day

Answer:

The slope is 3!

Step-by-step explanation:

In the equation y=3x+2, whatever constant is with the variable "x" is the slope.

Hope this helps :)

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