what is it called when a constant and variable are combined (math)​

Answer:

Fertilizer A = 20, Fertilizer B = 56

Step-by-step explanation:

Step 1: Set up the equations

Nitrogen: 8x + 5y ≥ 440

Phosphorous: 2x + 5y ≥ 260

Potassium: 4x + 5y ≥ 360

Step 2: Find the vertices

It is easiest to graph the equations to find the vertices. (see attachment).  You can also solve each system of equations to find the intersected points.

The following satisfy the "greater than or equal to" requirement:

(0, 88) → y-intercept of Nitrogen equation

(20, 56) → intersection of Nitrogen and Potassium equations

(50, 32) → intersection of Phosphorous and Potassium

(130, 0) → x-intercept of Potassium

Step 3: Use vertices in cost function C(x) to find the minimum

C(x) = $30x + $20y

(0, 88): $30(0) + $20(88) = $1760

(20, 56): $30(20) + $20(56) = $1720    ← This is the minimum!

(50, 32): $30(50) + $20(32) = $2140

(130, 0): $30(130) + $20(0) = $3900

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

Answer:

B) 7/10 and 4/5

Step-by-step explanation:

Answer:

B) 7/10 and 4/5.

Step-by-step explanation:

Convert the values to decimals

7/9 = 0.7777...

A)  = 0.6 and 0.75  -  NO.

B)  = 0.7 and 0.8 - YES.

Answer:

-3 - (2w)

Step-by-step explanation:

hope this helps!

Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

269 out of 1033 respondents said they were likely to only be in church, hence:

[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]

As a percentage:

0.2336 x 100% = 23.36%

0.2872 x 100% = 28.72%

The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

A similar problem is given at https://brainly.com/question/25743435

Answer:

29,596 first aid kits

Step-by-step explanation:

This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.

In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.

Hope this helped :)

Answer:

Step-by-step explanation:

270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5

ok done. Thank to me :>

Answer:

2x3x3x3x5

Step-by-step explanation:

if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order

Answer:

I still can't open the file or I can't see it

Step-by-step explanation:

Answer:

yes 198

Step-by-step explanation:

Answer:

it is c. both i guess anyways thanks

i hope you passed and sorry for taking your points

Step-by-step explanation:

Answer:

It will cost 38 quarters

Step-by-step explanation:

y = 0.50x + 8.00

y = 0.5(3) + 8.00

y = 1.5 + 8.00

y = $9.50

$9.50/.25

38 quarters

Hope this is the answer you are looking for.

Answer:

b

Step-by-step explanation:

Answer:

B. (5q - 12) / 12

Step-by-step explanation:

7p + 5q = 19p + 12

So, we are looking for p, let's move all the p on the left, and the rest on the right

7p + 5q = 19p + 12

7p - 19p = 12 - 5q

-12p = 12 - 5q

Now to get single p we need to divide both sides by -12

-12p = 12 - 5q

p = [tex]\frac{12 - 5q}{-12}[/tex]

We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)

[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]

all right, we almost got it, now let's change the order in top of the fraction:

p = [tex]\frac{- 12 + 5q}{12}[/tex]

p = [tex]\frac{5q - 12}{12}[/tex]

And it's done

Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

Answer:

9 times

Step-by-step explanation:

1 goes into 9, 9 times

1+1=2

2+1=3

3+1=4

4+1=5

5+1=6

6+1=7

7+1=8

8+1=9

Answer:

see explanation

Step-by-step explanation:

(1)

4(m + 7) = 4 ( divide both sides by 4 )

m + 7 = 1 ( subtract 7 from both sides )

m = - 6

(2)

let the number be n , then

[tex]\frac{3}{5}[/tex] n - 2 = 40 ( multiply through by 5 to clear the fraction )

3n - 10 = 200 ( add 10 to both sides )

3n = 210 ( divide both sides by 3 )

n = 70

The required number is 70

(3)

The 4 sides of a square are congruent , then

length of side = 36 cm ÷ 4 = 9 cm

Answer:

D.

y = 4(x − 3)^2 + 2

Step-by-step explanation:

A.    y = 4(x + 3)^2 + 2   = ( − 3 ,  2 )

B.    y = (x + 3)^2 + 2     = ( − 3 ,  2 )

C.    y = 19(x − 2)^2 + 3  = ( 2 ,  3 )

D.    y = 4(x − 3)^2 + 2   = ( 3 ,  2 )

Answer:

Step-by-step explanation:

Initial output:

Upgraded output:

Find the upgraded output in number:

Average output=390KW

Updated percentage=30%

Updated output:-

[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]

[tex]\\ \sf\longmapsto 0.3(390)[/tex]

[tex]\\ \sf\longmapsto 117[/tex]

New output=390+117=507KW

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answer:

if it has two equal sides the triangle is isosceles by definition

Definition of

Isosceles Triangle

A triangle with two equal sides.

The angles opposite the equal sides are also equal.

Answer:

23/25 when reduced to the simplest form.

Step-by-step explanation:

write down the number as a fraction of one

0.92 = 0.92/1

so we multiply both numerator and denominator by 100

Then 0.92/1 = ( 0.92x100) / ( 1x100)

= 92/100

Now reduce the numerator and denominator by GCD between in this case

GCD ( 92,100) = 4

so, 92/ 4

100/ 4

=23/25

Answer:

The socks are 40% off, and it is decreased to 60%.

Step-by-step explanation:

:))

Answer:

D

Step-by-step explanation:

x - c = (r + d)/y                   for x

x = (r +d)/y + c          common denominator : (c/1) (y/1)  = yc

x = (r + d)/y + yc

x =   (yc + r + d)/ y                              

Answer:

(8x^9 x y^4) : (1/2x^3)=16x^6y^4

Step-by-step explanation:

8 : 1/2 = 16

x^9 : x^3 = x^6

Equation - [tex]8x^3y^4[/tex] divided by (1/2x^3)=16x^6y^4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign. A mathematical equation is a formula that uses the equals sign to express the equality of two expressions. The meanings of the word equation as well as its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.

Let the required term be z.

[tex]z/ (1/2x^3)=16x^6y^4[/tex]

[tex]z=(16x^6y^4) }{(1/2x^3)}[/tex]

[tex]z = 8x^3y^4[/tex]

Hence, [tex]8x^3y^4[/tex]

Learn more about equation from the link

https://brainly.com/question/25976025

#SPJ2

Step-by-step explanation:

Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)

She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).

Set the equation:

Total pins = Amount of pins per month x amount of months + Amount of pins started.

y = 5x + 20

In this case, plug in the amount of months (x) to obtain your total (y):

When x = 0, y = 20

y = 5(0) + 20

y = 0 + 20

y = 20

When x = 1 , y = 25

y = 5(1) + 20

y = 5 + 20

y = 25

When x = 2, y = 30

y = 5(2) + 20

y = 10 + 20

y = 30

When x = 3, y = 35

y = 5(3) + 20

y = 15 + 20

y = 35

When x = 4, y = 40

y = 5(4) + 20

y = 20 + 20

y = 40

~

Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.

Answer:

4x^2 - 8x +16

Step-by-step explanation:

(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled

4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.

Thus it is 4x^2 - 8x + 16.