What is the solution to this linear system? Enter a value in each box to create an ordered pair.

Answer:

[tex]c = 5[/tex], explanation for how to get there

Step-by-step explanation:

If we have the equation [tex]4|3c+5| = 16c[/tex], we want to isolate c on one side and find it's value.

Let's first divide both sides by 4.

[tex]4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c[/tex]

Now let's solve for the absolute value. We know that:

[tex]3c + 5 = 4c[/tex]

or

[tex]3c + 5 = -4c[/tex]

Possibility 1:

[tex]3c + 5 = 4c[/tex]

Subtract 3c from both sides:

[tex]5 = c[/tex]

Possibility 2:

[tex]3c + 5 = -4c[/tex]

Add 4c to both sides:

[tex]7c + 5 = 0[/tex]

Subtract 5 from both sides:

[tex]7c = -5[/tex]

Divide both sides by 7:

[tex]c = \frac{-5}{7}[/tex]

Plugging both of these values into the equation, we can see that only 5 works.

Hope this helped!

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

[tex]x = \frac{-b +- R }{2*a}[/tex]

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

[tex]x = \frac{-b +- C*i }{2*a}[/tex]

We have two complex solutions.

If D = 0

√0 = 0

then:

[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]

We have only one real solution (or two equal solutions, depending on how you see it)

Answer:

B (–4, –12)

Step-by-step explanation:

If its even the right question

Answer:  45

Step-by-step explanation:

5 : 5 : 3 is simplified so it can be rewritten as  5x  :  5x  :  3x

                                                                            ↓        ↓      ↓

                                                                        Sara    Nick  June

Sara has 18 more than June --> 5x = 3x + 18

                                                    2x = 18

                                                      x = 9

In expanded form we have 5(9) : 5(9) : 3(9)

                                              45  :  45  :  27

                                               ↓        ↓      ↓

                                           Sara    Nick  June

Answer:

It's simple. 4x39=156

Step-by-step explanation:

add 39 4 times. 39+39+39+39=156

Answer:

All answers are in bold in the explanation below.

Step-by-step explanation:

1. $11.49/3 packages=$3.83 per package

2. 2550 gals/30 days=85 gals per day

3. 88 students/4 classes=22 students per class

4. 15.6°F/13 minutes=1.2°F per minute

5. 175 Cals/12 oz=14.58 Cals per oz

6. 258.5 mi/5.5 hrs=47 miles per hr

7. 549 vehicles/9 acres=61 vehicles per acre

8. $920/40 hrs=$23 per hr

9. 13 apples/2 pies=6.5 apples per pie

10. 114 parts/6 mins.=19 parts per min.  So, multiply that unit rate by 15 mins.: 19 parts/min. * 15 mins.=285 parts in 15 minutes

11. 8 jumbo muffins/1.5 teaspoons of powder=5.33 teaspoons of powder per muffin.  So, multiply that unit rate by 3 dozen jumbo muffins.  A dozen is 12 so 3 dozen 36 muffins.: 36 muffins*5.33 teaspoons=192 tsp for 36 muffins

12. about $75 per tire-reasoning: if you rounf $299 to $300 and divide by 4 tires you would get about $75 for the tires.

13. about $4.50 per yard of fabric-reasoning: first round $13.47 to $13.50.  Now, 13.50 is sort of in the middle between 12 and 15, which are both equally divisible by 3.  12/3=4 and 15/3=5.  The middle number between 4 and 5 is 4.5, so one yard of fabric will be about $4.50.

14a. Melendez: 1,560 watts/4 people=390 watts per person

       Barton:  2,130 watts/6 people=355 watts per person

       Stiles: 1,490 watts/2 people=745 watts per person

The Stiles family uses almost twice the amount of electricity per person than the other two families.  If you look at the calculations, you see that the other two families use within in about 350 to 400 watts of electricity per person, while this family uses about 750 watts per person.  350*2=700 and 400*2=800.  745 is a number almost in between both.

14b. Melendez: 3,500 gals/4 people=875 gals per person

       Barton: 6,400 gals/6 people=1,066.67 gals per person

       Stiles: 2,500 gals/2 people=1,250 gals per person

The Melendez family uses the least amount of water per person.  If you look at the calculations, this is the only family that uses less than 1,000 gallons of water per person, thus making them the family that uses the least amount of water per person.

Answer:

MO = 19

Step-by-step explanation:

Here, we want to determine the length of MO

mathematically;

MO = MN + NO

MO = 17 + 2

MO = 19

Answer:

31.7

Step-by-step explanation:

Since you want to find the entire weight, you need to add up all of the weights of the puppies.

12+9.5+10.2= 31.7

Answer:

Perimeter = (6w + 12)inches

Step-by-step explanation:

The perimeter of a rectangle is:

p = 2(length+width)

p = 2(6 + 3w)

p = 2*6 + 2*3w

p = 12 +  6w

Answer:

2, -8

|2| = 2, |-8| = 8 (absolute value)

2+8=10

Domain = {-3, 2}

Range = All real numbers

We can represent the range in interval notation as [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < y < \infty[/tex]. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.

Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".

Answer:

              v = 2,325,457

Step-by-step explanation:

f×v= 13,573,692,509

5837×v= 13,573,692,509

v =  13,573,692,509÷5837

v = 2,325,457

[tex]{}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }[/tex]

           [tex]{}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0[/tex]

Answer:

(8^2*3)*3 is the correct answer

next time you ask a question put the answer choices in your question

Answer:

-2x - 2

Step-by-step explanation:

Step 1: Write expression

3 - (2x + 5)

Step 2: Distribute negative

3 - 2x - 5

Step 3: Combine like terms

-2x - 2

Answer: Answer

Step-by-step explanation:

1. -83

2. 40

3. -38

4.  0

Please check my math!

Answer:

1 answer is39

2 answer is71

3 answer is38

4 answer is20/7

Step-by-step explanation:

Hope it is helpful for you

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Answer:

Step-by-step explanation:

If a person's monthly bill from the number of  kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;

[tex]b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80[/tex]

Hence the bill for a person who uses 600 kWh in a month is $80

Step-by-step explanation:

Identify the variables (x,y) and represent them using the unknowns like this:

Let x represent the tens digit and y represent the ones digit of the number.

Relationships between the unknowns from the question:

x = 2y, and x + y = 12.

We can solve these simultaneous equations by substitution:

x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.

Link back to the question:

Therefore, the number is 84.

Answer:

  44 inches

Step-by-step explanation:

The side length is the square root of the area:

  A = s^2

  121 in^2 = s^2

  √(121 in^2) = s = 11 in

The perimeter of a square is 4 times the side length (since all four sides are the same length).

  P = 4s = 4(11 in) = 44 in

The perimeter of the square is 44 inches.

The area of a square is 121 square inches, what is the perimeter of the square? inches

The perimeter = 44 inches

Area = 121 inches²

.°. Length of a side = √(121 inches²) = 11 inches

Now,

Perimeter of the square =

Length of a side×4

= 11 inches × 4

= 44 inches.

Answer:

-6

Step-by-step explanation:

-4 x 2 = -8 + 2 = -6

x = u /k + y/ k

Hope this helps

Answer: x axis (9,0). Y axis (0, -9)

Step-by-step explanation:

Multiples of 4, 8, 10

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

8 = 8, 16, 24, 32, 40

10 = 10, 20, 30, 40

A common multiple = 40

Answer:

5

Step-by-step explanation:

Let's look at the question.

Spent- He spent 45 dollars eating out.

He spent an additional 15 dollars on gas

Earned- He earned 55 dollars from mowing lawns

Earned is going to be a positive value.

Spent is going to be a negative value.

The situations don't matter in the context of the question. They are just asking how much he got charged.

The amount charged is always positive. You can never have a negative charged amount of money. That would mean the bank owed you money, which would never happen.

Let's substitute the values into an equation.

The variable C will stand for amount charged.

C = -45 + 55 - 15

Combine the negative values to get -60

Add -60 to 55.

You will get -5, which then you will have to take the absolute value of.

The absolute value will be the charge in dollars at the end of the week.

Jimmy’s change in dollars at the end of the week will be - 5 dollars.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.

Now,

Let the total amount Jimmy have = x

Since, Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.

Hence, After spent $45 on eating, we get;

The left amount = x - $45

And, After spent $55 on mowing lawns, we get;

The left amount = x - 45 + 55

                         = x + 10

And, After spent $15 on gas.

The left amount = x + 10 - 15

                         = x - 5

Thus, At the end of the week, he ended up with 5 dollars less than he started, so the change is -5 dollars.

Learn more about the subtraction visit:

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Answer:

Negative

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative is a negative.

Answer:

3500 cm^3

Step-by-step explanation:

A shoebox is in the size of a cuboid

Volume of a cuboid = [tex]length\times width\times height[/tex]

[tex]l = 35\\w = 10\\h =10\\\\V =35\times 10\times 10 \\\\Volume =3500cm^3[/tex]

Answer: looks like they got rid of What’s your favorite anime.

Step-by-step explanation:

Answer:

The answer is 1.06x+10

Step-by-step explanation:

Well, I assume that both tickets cost the same: let's call it x.

So the tickets cost 106%x (the cost of the ticket plus tax).

The total prize of the tickets will be: 2*106% x+20.

But let's assume that you share it half-half then the answer would be 1.06x+10

Answer:

（95）

Hope I helped you

The area of the canvas if, One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches is 94.62 inches².

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

One side of the canvas is 11.4 inches long,

the shorter side is 8.3 inches,

Calculate the area of the canvas as shown below,

Area of the canvas = Length of the longer side × length of the shorter side,

Area of the canvas = 11.4 × 8.3

Area of the canvas = 94.62 inches².

To know more about Rectangle:

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Answer:

Negative

Step-by-step explanation:

- x + = negative

+ x - = negative

- x - = positive

+ x + = positive

It is negative, because positive times negative=negative.