2. Which of the following is the standard form of a linear equation in two variables?
A. y = mx + b
B. y = mx - b
C. Ax + By = C
D. Ax – By = C​

Answer:

C) the factory produces 25 chairs per hour

Step-by-step explanation:

Let's find the rate of change (slope):  

[tex]let:\\(x1,y1) =(2,50)\\(x2,y2)=(4,100)\\m=\frac{100-50}{4-2} =\frac{50}{2} =25 \\[/tex]

Answer:

n/6

Step-by-step explanation:

Trust me

Answer:

14%

Step-by-step explanation:

In this question, we have to find the percent markdown of the cost of the DVD player.

We know that the original price was $175.80, and now it is $150.65

To find the markdown, lets set this up as a proportion:

[tex]\frac{\$down}{original\$}=\frac{\%down}{100\%}[/tex]

First, lets find how much money was downed due to the sale. Do this by subtracting the sale cost from the original.

175.80 - 150.65 = $25.15

Since we now know our markdown cost, we can plug in the information to our proportion:

[tex]\frac{25.15}{175.80}=\frac{x}{100}[/tex]

Since we're solving for the percent markdown, we will replace the %down with an x, since we will be solving for x.

Solve for x:

[tex]\frac{25.15}{175.80}=\frac{x}{100}[/tex]

Cross multiply.

[tex]175.80x=2,515[/tex]

Divide both sides by 175.80

[tex]x=14.30602[/tex]

When you round the decimal to the nearest whole, you would get a markup of 14%

Answer:

[tex]3x - 15 = 150 \\ 3x = 165 \\ x = \frac{165}{3} \\ x = 55[/tex]

Answer:

70

Step-by-step explanation:

I hope this is right but the equation is 6r + 60 = 480

So I did 480 subtracted 60 =420 and then I did 420 divided by 6

 I hope this is helpful!!!!

Answer:

Gas prices $3.45

Jenny purchase 12.2 gallons of gas for her car.

12.2 x $3.45 = 42.09

A= $42.09

Answer:

19 6j/5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I checked it and it’s right hope this helps!

Answer:

my sister is really smart hold on i can give you the answer

Step-by-step explanation:

please type properly your spelling was wrong

Oh ok what specifically?

Answer:

Dan, because he types 60 words per minute.

Step-by-step explanation:

Jim: 3850/70 = 55 words/minute

David: 3300/60 = 55 words/minute

Dan: 2400/40  = 60 words/minute

A polynomial multiple by a polynomial is always a polynomial. The given statement is true.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.

The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.

Thus, A polynomial multiples by a polynomial is always a polynomial.

Learn more about polynomials;

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Answer: The first one; Plus 5

Step-by-step explanation: The rest of the answers are all negative 5.

Answer:

+5

Step-by-step explanation:

Answer:

x=112

Step-by-step explanation:

First, let's get all of the fractions to a common denominator.

Based on the numbers given (8,56, and 7), let's make all of the denominators be 56

for [tex]\frac{-7}{8} x[/tex], multiply the numerator and denominator by 7.

[tex]\frac{-7x}{8}[/tex]×[tex]\frac{7}{7}[/tex]= [tex]\frac{-49}{56} x[/tex]

we can leave [tex]\frac{-5}{56}x[/tex] as it is

and for [tex]\frac{1}{7} x[/tex], we cam multiply the numerator and denominator by 8

[tex]\frac{1x}{7}[/tex]×[tex]\frac{8}{8}[/tex]=[tex]\frac{8x}{56}[/tex]

Here's the equation now:

[tex]\frac{-49x}{56}[/tex]-[tex]\frac{5x}{56}[/tex]+[tex]\frac{8x}{56}[/tex]=-92

now simlify the fractions

numerators:

-49x-5x+8x=-46x

here's the fraction now:

[tex]\frac{-46x}{56}[/tex]=-92

We can simplify the fraction by 2 so it's [tex]\frac{-23x}{28}[/tex]

[tex]\frac{-23x}{28}[/tex]=-92

now multiply both sides by [tex]\frac{28}{-23}[/tex], which is the reciprocal of [tex]\frac{-23}{28}[/tex] (to isolate the variable)

[tex]\frac{28}{-23}[/tex]×[tex]\frac{-23x}{28}[/tex]=-92×[tex]\frac{28}{-23}[/tex]

[tex]\frac{-92*28}{-23}[/tex]

x=112

Hope this helps!

Answer:

x = 112

Step-by-step explanation:

The common denominator is 56 because 8*7 is 56

[tex]-\frac{7*7*x}{8*7} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\-\frac{49*x}{56} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\\frac{-46*x}{56}=-92[/tex]

Multiply both sides by 56

-46*x = -92 * 56

-46*x = -5152

Divide by - 46

x = -5152/-46

x = 112

Answer:

Heat flow is high where crust is being created. (Ocean spreading centers are where new crust is being created, and have the highest heat flow.)

Step-by-step explanation:

Answer:

15 3/4 ÷13/4

/1. 1+3×4= 36/2

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

[tex]h=70t-5t^2[/tex]

[tex]\dfrac{dh}{dt}=70-10t[/tex]  [Differentiate both sides w.r.t. t]

Put

[tex]\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7[/tex]

Also, [tex]\dfrac{d^2h}{dt^2}=-10<0[/tex] i.e. height is maximum at t=7.

Maximum height = [tex]h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}[/tex]

Hence, the maximum height the rocket reaches = 245 feet.

Answer:

D. The m of the segment is 3, perpendicular slope is -1/3 bc their slope product is -1.

The equation of the perpendicular bisector of the segment with endpoints (1, -4) and (3, 2) is y = (-1/3)x - 1/3. The correct option is D.

To find the equation of the perpendicular bisector of a segment, we need to first find the midpoint of the segment.

The midpoint of the segment with endpoints (1, -4) and (3, 2) is:

[tex](\dfrac{(1+3)}{2} , \dfrac{(-4+2)}{2}) = (2, -1)[/tex]

Now we need to find the slope of the line passing through the two endpoints, which is:

[tex]m = \dfrac{(2 - (-4))} { (3 - 1)} = 3[/tex]

The slope of the perpendicular bisector will be the negative reciprocal of the slope of the segment. So the slope of the perpendicular bisector is:

m = -1/3

Finally, we can use the point-slope form of a line to find the equation of the perpendicular bisector, using the midpoint we found:

y - (-1) = (-1/3)(x - 2)

y + 1 = (-1/3)x + 2/3

y = (-1/3)x + 2/3 - 1

y = (-1/3)x - 1/3

Therefore, the equation of the perpendicular bisector of the segment with endpoints (1, -4) and (3, 2) is y = (-1/3)x - 1/3.

To know more about an equation of the line follow

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Answer:

x = -14

Step-by-step explanation:

Answer:

Multiplication signs are filled in between the numbers to make it a true equation.

Step-by-step explanation:

In mathematics, a true equation occurs when the values on both sides of the equal sign (i.e. =) are the same. For example, 2 + 2 = 4 is a true equation; and 3 * 2 = 6 is a true equation.

For this question, multiplication signs are filled in between the numbers to make it a true equation as follows:

2802 * 1811 * 123 * 441 * 3633 * ⅓ * 32² * 205 = 69,972,637,305,761,000,000

Answer:

the answer is C

Step-by-step explanation:

Answer:

The answer is in a picture

And♤ merry Christmas♡

Step-by-step explanation:

Answer:

Hope it helps ..and ☆HAPPY New year MY DEAR ☆

Step-by-step explanation:

Let the number of half dollars be x,

number of quarters = x + 2

amount of half dollars = 0.5x

amount of quarters = 0.25(x + 2)

= 0.25x + 0.5

total amount = 0.5x + 0.25x + 0.5

= 0.75x + 0.5

0.75x + 0.5 = 11.75

0.75x = 11.25

x = 15

number of quarters = x + 2

= 15 + 2

= 17

There are 17 quarters and 15 half dolla

17 quarters, 15 half dollars

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

60% of 30 students is 18 girls

Answer:

30

Step-by-step explanation:

Answer:

a) Since the income is more than the cost, she makes a profit.

b) To make profits, she must sell at least 17 necklaces

Step-by-step explanation:

Inequalities

The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:

C(n) = 135 + 4n

Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:

R(n) = 12n

a) If she sells n=17 necklaces, it will cost:

C(17) = 135 + 4*17 = 203

And the income is:

R(17) = 12*17= 204

Since the income is more than the cost, she makes a profit.

b) To make a profit R(n) > C(n), thus:

12n > 135 + 4n

Subtracting 4n:

8n > 135

n > 135/8

n > 16.875

Thus, to make profits, she must sell at least 17 necklaces

Answer:

Buy My Shlong

Step-by-step explanation:

Eat my virginia

Step-by-step explanation:

Supplementary angles are angles that sum up to 180°.

Since Angles O and P are supplementary,

Angle P = 180° - Angle O = 180° - 157° = 23°.