30 is 60% of what number ?

Answer:

C

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (-5, -2) and (4, 5).

First, let’s determine the slope of the line. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-5, -2) be (x₁, y₁) and let (4, 5) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{5-(-2)}{4-(-5)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{5+2}{4+5}=\frac{7}{9}[/tex]

So, our slope is 7/9.

Now, we can use the point-slope form to determine the rest of the equation:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/9 for m.

For consistency, we will also let (x₁, y₁) be (-5, -2). Hence:

[tex]\displaystyle y-(-2)=\frac{7}{9}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y+2=\frac{7}{9}(x+5})[/tex]

Distribute:

[tex]\displaystyle y+2=\frac{7}{9}x+\frac{35}{9}[/tex]

Subtract 2 from both sides. Note that 2 is equivalent to 18/9. Hence:

[tex]\displaystyle y=\frac{7}{9}x+\frac{35}{9}-\frac{18}{9}[/tex]

Simplify:

[tex]\displaystyle y=\frac{7}{9}x+\frac{17}{9}[/tex]

Therefore, our answer is C.

Answer:

2

Step-by-step explanation:

Answer:

12x+4x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mark or flag this, i realized i messed up when i reread it and there's a better answer underneath this one. My apologies

Answer:

x = - 10.5

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use the condition y = 8 when x = 3.5 , then

8 = [tex]\frac{k}{3.5^2}[/tex] ( multiply both sides by 3.5²

8 × 3.5² = k , that is

k = 98

y = [tex]\frac{98}{x^2}[/tex] ← equation of proportion

When y = [tex]\frac{8}{9}[/tex] , then

[tex]\frac{8}{9}[/tex] = [tex]\frac{98}{x^2}[/tex] ( cross- multiply )

8x² = 882 ( divide both sides by 8 )

x² = 110.25 ( take the square root of both sides )

x = ± [tex]\sqrt{110.25}[/tex] = ± 10.5

Thus x = - 10.5 ← is the negative value of x

Answer:

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Step-by-step explanation:

Variables:

P₁ = number of hours in process 1

P₂ = number of hours in process 2

P₁ yields 3 ounces of perfume

P₂ yields 5 ounces of perfume

both are sold at $5 per ounce

15P₁ + 25P₂

labor usage:

(1P₁ + 2P₂) x $3

3P₁ + 6P₂

chemicals usage:

(2P₁ + 3P₂) x $2

4P₁ + 6P₂

Profit = 15P₁ + 25P₂ - (3P₁ + 6P₂) - (4P₁ + 6P₂) = 8P₁ + 13P₂

so we need to maximize 8P₁ + 13P₂

the constraints are:

3P₁ + 6P₂ ≤ 20,000

4P₁ + 6P₂ ≤ 35,000

P₁, P₂ ≥ 0

using solver, the optimal solution is 6,666P₁ or process 1 should work for 6,666 hours during the year.

Total production = 6,666 x 3 = 19,998 ounces of perfume.

Total revenue = 19,998 x $5 = $99,990

Total costs = (6,666 x $3 per labor hour) + (6,666 x 2 x $2 per unit of chemicals) = $46,662

Operating income = $53,328

Answer:

Step-by-step explanation:

x^2+17x+72=12

x= -5 and -12

Keith is correct.

Answer:

I think Keith solved it correctly.

Step-by-step explanation:

x= -12 and that was one of keiths answers so he's right.

-12+12= 0

5 and 12

Answer:

Step-by-step explanation:

Step one:

given

percentage of discount= 30%

Regular price of jeans= $49.99

Required:

the price of the jeans after the discount is deducted

Step two;

let us solve for the amount of the 30% discount

=30/100*49.99

=0.3*49.99

=14.997

=$15 approx.

Hence the deduction in discount is $15

therefore the sale price after the discount is

=49.99-15

=$35

Answer:

12 veggie subs, 15 turkey subs

Step-by-step explanation:

Answer:

22 and 0

Step-by-step explanation:

Answer:

Should be y=x+2.5

Step-by-step explanation:

Answer:

Option D is the correct answer.

Step-by-step explanation:

[tex] \frac{w}{y} = \frac{z}{x} \\ \\ by \: cross \: multiplication \\ \\ wx \: = yz[/tex]

Answer:

I think its 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

the yellow one

Step-by-step explanation:

hope thats right tell her to leave u alone lol

Answer:

Step-by-step explanation:

6.

Given equation:

Need to show that q1+q2 = 0

Bringing the equation into standard form of ax² + bx + c = 0:

Sum of the roots:

Product of the roots:

We see that q1 and q2 are opposite numbers, therefore their sum equals zero:

=============================================

7.

Given quadratic equation:

Need to find the possible values of k

When the quadratic equation has equal roots, then its discriminant is equal to zero:

Answer:

[tex] J. \:\:71\degree[/tex]

Step-by-step explanation:

CNWK is a [tex] ||^{gm} [/tex]

[tex] \therefore m\angle C + m\angle K = 180\degree [/tex]

(Adjacent angles of a parallelogram)

[tex] \therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\

\therefore (4a+7+7a - 3)\degree = 180\degree\\\\

\therefore (11a+4)\degree = 180\degree\\\\

\therefore 11a+4 = 180\\\\

\therefore 11a= 180-4\\\\

\therefore a= \frac{176}{11}\\\\

\therefore a= 16\\\\

\because m\angle C = (4a+7)\degree\\\\

\therefore m\angle C = (4\times 16+7)\degree\\\\

\therefore m\angle C = (64+7)\degree\\\\

\huge \orange {\boxed {\therefore m\angle C = 71\degree}} \\\\

[/tex]

Answer:

$2 for soda and $1.5 for a bottle of water

Step-by-step explanation:

You start by turning both situations into an equation

Let x represent bottles of water and y represent sodas

Saturday:

[tex]40x+25y=110[/tex]

Sunday:

[tex]50x+45y=165[/tex]

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:

50÷40=1.25

You then times the whole equation by -1.25

40x+25y=110

×-1.25

-50x+-31.25y= -137.5

You then add this equation by Sunday's equation

50x+45y=165

-50x+-31.25y=-137.5

          13.75y=27.5

You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring

13.75y=27.5

×1.09 recurring

    15y=30

15y/15=30/15

     y=2

Now that we know y = 2

We can use either Saturday or Sunday's equation to figure out the value of [tex]x[/tex]

Let's use Sunday's:

50x+45×2=165

50x+90=165

50x+90-90=165-90

50x/50=75/50

x=1.5

Let's check our answer with Saturday's equation

40×1.5+25×2=110

This equation is correct

Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda

Answer:

70% is approximately the answer

Step-by-step explanation:

135 x 2 = 270

310 - 270 = 40

35 out of 40 is 7/8.

The answer should be approx 70, I can not make sure.

Answer: (3x+2)(x+4)

Step-by-step explanation:Explanation:

3x2+10x−8

first multiply

3

with −8

and we get −24

then find two numbers that if we add or subtract we get

+10

and if we multiply we get

−24

and the numbers are

+12

and

−2

then we place those numbers as follow :-

3x2+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

Answer:

3 : 10

Step-by-step explanation:

most simplified form

The ratio of the number of parrots to the total number of birds will be equal to 3:10.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the provided information in the question,

Total canaries in the store = 7

Total parrots in the store = 3

Then, total number of birds in the store = 7 + 3 = 10

So, the ratio of number of parrots to the total number of birds will be,

3 : 10

To know more about Ratios:

https://brainly.com/question/13419413

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Answer:

yes

Step-by-step explanation:

also nice woody pfp :D

Answer: its b

Step-by-step explanation:

The system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively. which is the correct option (C).

The slope of a line is defined as the gradient of the line.

Given that line M passes through the points (-3, -3) and (6, 0).

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -3, y₁ = -3

x₂ = 6, y₂ = 0

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - (-3) = (0 - (-3))/(6-(-3) )[x -(-3))

⇒ y + 3 = 3/9(x + 3)

⇒ y + 3 = 1/3(x + 3)

⇒ 3y + 9 = (x + 3)

⇒ x - 3y = 6

Given that line N passes through the points (-3, -25) and (6, 20).

⇒ y - (-25) = (20 - (-25))/(6-(-3) )[x -(-3))

⇒ y + 25 = 45/9(x + 3)

⇒ y + 25 = 5(x + 3)

⇒ y + 25 = 5x + 15

⇒ 5x - y = 10

Therefore, the system of equations x - 3y = 6; 5x - y = 10 is represented by lines m and n respectively.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ2

Answer:

x= 22

x+44=3x

-x. -x

44=2x

÷2. ÷2

22=x

Based off picture

Answer:

2:5 I think

Step-by-step explanation:

Answer:

Any real number between the two numbers such as -2.99, -2.5, -2.01, basically anything between the two.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

This is NEGATIVE. Think of negative as you falling down a mountain, like in that kind of shape, and positive you going up a mountain, undefined as just a line that has no "tilt" and only goes straight up or down, and zero slopes are just horizontal lines. hope this helps.

pls mark as brainliest

Step-by-step explanation:

Answer:

x=-1/4

4x-5(-4)=21

4x+20=21

4x=1

x=1/4