mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 which contains 8 units of a 1 unit of b and 2 units of c or pill #2 which contains 2 units of a and 1 unit of b and 7 units of c pill #1 cost $0.15 and pill #2 cost $0.35 how many of each pill should he buy in order to minimize his cost?


He buys blank of pill #1 and blank of pill #2

the minimum cost of $


PLEASE HELP ASAP!!! IM STUCK ON THIS

2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!

Answer:

For me I think it is a number 3

Step-by-step explanation:

The statement about these triangles which is true there are exactly three isosceles triangles, the correct option is B.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

4 triangle figure

we can answer the question by counting how many triangles belong to each category. We have:

Three acute triangles: B, D, and E.

Three isosceles triangles: A, D, and E.

Two right triangles: A and C.

Two scalene triangles: B and C.

Therefore, the statement that is true about these triangles is:

Therefore, by the given triangle answer will be There are exactly three isosceles triangles.

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#SPJ2

Answer:

D) Slope of Funcation B = - Slope of Function A

Step-by-step explanation:

The equation for the line is:

y=mx+b

Where m is the slope and b is the y-intercept

In this question, we are only interested in the slope.

For function A, we can see that the equation is f(x) = -2x + 1

Going back to the equation, we can see that -2 is the slope

Now for function B, we need to find the slope by looking at the graph.

To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)

So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be

2

Comparing the slope of both the functions

Function A is -2

and

Function B is 2

So the answer is D

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]

[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]

Answer:

20 dresses

Make sure to label

Step-by-step explanation:

there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses

Answer:

z^10/z^5 = z^5

Step-by-step explanation:

if it is divide, you minus, so z^10/z^5 is z^5.

[tex]\left(2 + \sqrt 2 \right)\left(2-\sqrt 3 \right)\\\\=4- 2\sqrt 3 + 2 \sqrt 2 - \sqrt 6\\\\=0.91484.....[/tex]

b would equal  48

_________________

AE || BC

===》 DCB angle = DAE angle

AC /

__________________________________

Thus :

DCB angle = x

And also we know that the submission of interior angles of any triangle must equals to 180 degrees so :

In BCD triangle :

B + C + D = 180

x + x + D = 180

D = 180 - 2x

__________________________________

In the other hand we know that :

BDC angle + BDA angle = 180

because they make a straight line together so ;

180 - 2x + 50 = 180

- 2x = 180 - 230

- 2x = - 50

x = 25

And we're done...

Have a great time ♡

Answer:

The answer is C

Step-by-step explanation:

[tex]\frac{n}{20}*20 = 1 * 20[/tex]

1 x 20 = 20

Answer:

C) n = 20

Step-by-step explanation:

hope it helps!

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:

Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x

The inequality is:

6x³ + 110x² - 200x ≤ 15000

6x³ + 110x² - 200x - 15000 ≤ 0

x = 10

The maximum volume is at:

V' = 0

V' = 18x² + 220x - 200 = 0

x = 0.85 cm

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

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Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

Answer:

it is the last graph

Step-by-step explanation:

Answer:

The discount is 22.50 and the final price $52.50

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 75 × 30/100

Discount = 75 x 0.3

You save = $22.50

Final Price = Original Price - Discount

Final Price = 75 - 22.5

Final Price = $52.50

Answer:

(7, -1)

Step-by-step explanation:

Let's remember our key words:

Down/up means to translate the y axis.

Right/left means to translate the x axis.

Now that we know what to do, let's look at our equation.

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

A point located at (5, 3) is translated down 4 units and right 2 units.

Let's work on the x axis first.

It says that you are translating to the right. That means your value is going higher, so you go to the right 2. 5+2=7

So now that we have our x, (7), let's rewrite our equation. (7, 3)

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

Next, let's do y.

The points are translating down. That means our value will lessen.

Since we are going down on our y axis by 4, we will subtract our current y coordinate with 4. 3-4=-1.

Now we know our y, so let's rewrite our equation with our new y. (7, -1).

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

Our final coordinates are (7, -1).

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

I hope this helps!

-No one

I don't think this is wrong

Answer:

V≈180.96

Step-by-step explanation:

The length of the arc shown in red is

Step-by-step explanation:

step 1

Find the circumference of the circle The circumference is equal to we have substitute

step 2

Find the length of the arc in red Remember that the length of the circumference subtends a central angle of 360 degrees so by proportion find the length of the arc by a central angle of 110 degrees Simplify

Answer:

D) none of the above

Step-by-step explanation:

To find an average, you add up all of the numbers and divide by how many numbers there were. for example, in this equation, the sum of all of the numbers was 96. then I divided 96 by 4(the amount of numbers shown)

Answer:

he spent 12 dollars on each book

Step-by-step explanation:

minus 13 from 85 you get 72 and then divide 72 by 6

Answer:

12$ each

Step-by-step explanation:

Tim had 85$ to spend on 6 books.

After buying them he had 13$.

How much did each book cost.

Each bottle in the case is 3 litres in capacity, we found the total number of bottles to be 60, hence the number of litres is 180 litres

Given Data

Required : the total litres

If each bottle is 3 litres in capacity and we have 60 bottles

Then the total amount in litres is

= 60*3

= 180 litres

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Answer:

  (32×15)/(17 -9)

Step-by-step explanation:

The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.

__

Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).

Then the desired numerical expression is ...

  [tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]

______

Additional comment

The result of evaluating this expression is ...

  (32×15)/(17 -9) = 480/8 = 60

__

For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".

In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).

The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint

Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.

2905 / 1400 = 2.075 tubes of paint

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Answer:

you really go to the cca

Step-by-step explanation:

you really go to the cca

A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.

It should be noted that plurality voting simply means when each voter is allowed to vote for only one candidate.

In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.

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Answer:

f’(2) = -21/128

f’(-1) = -42

Step-by-step explanation:

We are given a function:

[tex]\displaystyle \large{f(x)=\frac{6}{x^7}}[/tex]

We want to evaluate f’(2) and f’(-1). Keep in mind that f’(x) denotes or means the derivative of f(x). So what we are going to do first is to find the derivative of given function.

Derive the function, there are two ways to derive it, either using power rules or quotient rules. For this, I’ll demonstrate two methods.

Power Rules

If [tex]\displaystyle \large{f(x)=x^n}[/tex] then [tex]\displaystyle \large{f\prime (x)=nx^{n-1}}[/tex] where n is any real numbers.

Since the function is written in a fraction form, we’ll have to convert it to the x^n form using law of exponent.

[tex]\displaystyle \large{f(x)=\frac{6}{x^7} \to f(x)=6\cdot \frac{1}{x^7}}[/tex]

Law of Exponent I

[tex]\displaystyle \large{\frac{1}{a^n} = a^{-n}}[/tex]

Therefore:

[tex]\displaystyle \large{f(x)=6x^{-7}}[/tex]

Then derive the function using power rules:

Property of Differentiation I

[tex]\displaystyle \large{y=kf(x) \to y\prime = kf\prime (x)}[/tex] where k is a constant.

[tex]\displaystyle \large{f\prime (x)=6\cdot -7x^{-7-1}}\\\displaystyle \large{f\prime (x)=6\cdot -7x^{-8}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]

Quotient Rules

[tex]\displaystyle \large{y=\frac{f(x)}{g(x)} \to y\prime = \frac{f\prime (x)g(x)-f(x)g\prime (x)}{[g(x)]^2}}[/tex]

If f(x) = k or a constant then:

Property of Differentiation II

[tex]\displaystyle \large{y=k \to y\prime = 0}[/tex] for k is a constant.

[tex]\displaystyle \large{y=\frac{k}{g(x)} \to y\prime = \frac{0\cdot g(x)-kg\prime (x)}{[g(x)]^2}}\\\displaystyle \large{y\prime = \frac{-kg\prime (x)}{[g(x)]^2}}[/tex]

Therefore:

[tex]\displaystyle \large{f\prime (x)=\frac{-6\cdot 7x^{7-1}}{[x^7]^2}}\\\displaystyle \large{f\prime (x)=\frac{-42x^6}{x^{14}}}\\\displaystyle \large{f\prime (x)=-42x^{6-14}}\\\displaystyle \large{f\prime (x)=-42x^{-8}}[/tex]

Laws of Exponent used above:

[tex]\displaystyle \large{(a^n)^m = a^{nm}}\\\displaystyle \large{\frac{a^n}{a^m} = a^{n-m}}[/tex]

Therefore the derivative of function is:

[tex]\displaystyle \large{f\prime (x) = -42x^{-8}}[/tex] or [tex]\displaystyle \large{f\prime (x)=-\frac{42}{x^8}}[/tex]

Next is to substitute x = 2 and x = -1 in the derivative.

[tex]\displaystyle \large{f\prime (2)=-\frac{42}{2^8}}\\\displaystyle \large{f\prime (2) = -\frac{42}{256}}\\\displaystyle \large{f\prime (2)= -\frac{21}{128}}[/tex]

And:

[tex]\displaystyle \large{f\prime (-1)=-\frac{42}{(-1)^8}}\\\displaystyle \large{f\prime (-1) = -\frac{42}{1}}\\\displaystyle \large{f \prime (-1) = -42}[/tex]

Therefore, f’(2) = -21/128 and f’(-1) = -42.

Answer:I think it might be D but i'm not 100% sure