A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

Answer: q= 30

Step-by-step explanation:

Solve for q

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

q>25

Interval Notation:

(25,∞)

Answer:

Step 3.

Step-by-step explanation:

When you distribute this [tex](-3)(x-5)[/tex],

you should get [tex]-3x+(-3)(-5)[/tex].

However, [tex]-3*-5=15[/tex] and not [tex]-15[/tex] because of the double negative.

Answer:

B + 21

or

21 + B

Step-by-step explanation:

The sum of B and 21

The sum of : means to add B and 21

The algebraic expression would be: B + 21  or 21 + B (depending on how you/your teacher wishes it to be written)

Answer:

21 + b

Step-by-step explanation:

The answer to this expression is the sum of b and 21. The answer is 21 + b.

Good luck ^^

5 Students = 3 Teams

7 Students = 2 Teams

To find out the answer we can use the following equation

[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]

If you run into a decimal number, like we did when we had a team of 7, you can just round down!

Answer:

3

Step-by-step explanation:

least students= 5

maximum students = 7

total number of students = 15

no: of grps if 5 students per grp = 15/5 = 3

no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2

However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .

Answer:

(2, -3)

Step-by-step explanation:

Answer:

1/6 or 6/36

Step-by-step explanation:

Given the qualifications, there are six qualifying combinations out of the 36 combinations, which simplified, is 1 out of 6.

Answer:77d-16

Step-by-step explanation:

Answer:

1436.03 m³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(14 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {7}^{3} [/tex]

[tex] = \frac{4308.08}{3} [/tex]

[tex] = 1436.0266667...[/tex]

= 1436.03 m³ (rounded to the nearest hundredth)

Answer:

x = 3

Step-by-step explanation:

Taking this from the graph:

2x + 5 = 11

2x = 6

x = 3

Answer:     A) 3

Step-by-step explanation:

2x+5=11

2x=6

x=3

Answer:

Step-by-step explanation:

Volume of prism:

The base is a right triangle, its area is:

The volume is:

Correct choice is A

Answer:

A.

1. No

2. Yes, 6*6=36

3. Yes, 7*7=49

4. No

5. Yes, 11*11=121

6. Yes, 13*13=169

7. Yes, 20*20=400

8. No

B.

1. 8

2. 10

3. 9

4. 4

5. 2

6. 0

7. 5

8. 12

C.

1. 11.4

2. 2.8

3. 9.2

4. 6.3

5. 4.9

6. 10.5

D.

1. rational

2. rational

3. irrational

4. rational

5. irrational

6. irrational

7. rational

8. rational

9. rational

10. rational

11. irrational

12. irrational?

Answer:

A1. No (4 more than 4²)

A2. Yes - 6 * 6 = 36

A3. Yes - 7 * 7 = 49

A4. No (4 more than 8²)

A5. Yes - 11 * 11 = 121

A6. Yes - 13 * 13 = 169

A7. Yes - 20 * 20 = 400

A8. No (6 more than 12²)

B1. 8

B2. 10

B3. 9

B4. 4

B5. 2

B6. 0

B7. 5

B8. 4

C1. 11.4

C2. 2.8

C3. 9.2

C4. 6.3

C5. 4.9

C6. 10.5

D1. Rational

D2. Rational

D3. Irrational (closest rational (2 decimal places) is -1.41)

D4. Rational

D5. Irrational (closest rational (2 decimal places) is 2.23)

D6. Irrational (closest rational (2 decimal places) is 3.14)

D7. Rational

D8. Rational (simplifies to 4)

D9. Rational

D10. Rational (same as 0.75)

D11. Irrational (because of the dots)

D12. Rational (5/13 pattern goes like this: 384615)

Answer:

The answer is A.

Step-by-step explanation:

A supplementary angles are angles that when adding both sides will sum up to 180 Degrees.

<JKH and <LKH will be the correct answer because they add up tp 180 degrees.

Star Me!!!

Answer:

Well to this you would have to simplify the ratio first

75:35:45

That can be

15:7:9

So that means thayt each troop would get 15 enegery bars, 7 drinks and 9 bottles of water

Well if you were to keep repeating that process or just do a proportion you would get 5 total troops.

15:7:9

75:35:45

15*5 is 75

7*5 is 35

9*5=45

So 5 troops

Answer:

84 yards squared

Step-by-step explanation:

Use the formula- A= 1/2(b1 +b2)h

So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)

Answer: 12.25

Step-by-step explanation:

-4.05+16.3

Hope this helped! :) let me know if I can help with anything else!

Answer:

115000

Step-by-step explanation:

25000 x .12 = 3000

3000 x 30 = 90000

90000 + 25000 = 115000

Answer:

f(X)=2x+3

Step-by-step explanation:

f(4) = 2*4 + 3

= 8 + 3

= 11

Answer and Step-by-step explanation:

For this function, we need to plug in 4 for x to find out what the value of f(x) is when x is equal to 4.

f(4) = 2(4) + 3

= 8 + 3

= 11

The answer is 11, when the value is f(4).

#teamtrees #PAW (Plant And Water)

Answer:

x≤-8

Step-by-step explanation:

Answer:

x ≤ -8

Step-by-step explanation:

Good Luck!

Answer:

x² - 5x -24

Step-by-step explanation:

(x+3)(x-8) = x² - 8x + 3x -24 = x² - 5x -24

Answer: V≈56.55

Step-by-step explanation:

V=πr2h

3 = radius

2=height

Fill in the formula = V=πr2h=π·32·2≈56.54867

V≈56.55

Answer:

For number 13, I think it is rational, integer, and whole number

Answer:

Hi there your question was a little confusing

well I'm using a formula this [tex]X=\sqrt{Y}[/tex]

Hope this helps :)

Step-by-step explanation:

Answer:

[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:

i) By Prime Factorisation

ii) By Long Division

iii) By Repeated subtraction method

Step I: Obtain the given number.

Step II: Reduce the given number into prime factors by successive division.

Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.

Step IV: Take one factor from each pair and find the product of these factors.

Step V: The product obtained by multiplying the factors is the required square root.

Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.

Step 2: Now we find the largest number whose square is less than or equal to the 1st number.

Step 3: Now we bring down the next bar number.

Step 4: For new divisor, we add the divisor & quotient.

Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.

In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

the perimeter is 30ft

Step-by-step explanation:

a square + b square = c square

so first we find your missing side

this is how we solve for that:

a square + 12 squared = 13 squared

a squared + 144 = 169

now we do 169 - 144 = 25

now to find the missing side it is 25 square root which is 5

now that we have found the missing side lengths let's find the perimeter which is: 5 + 12 + 13 = 30 ft

I hope this helped!

the answer is either A or B, probably C, maybe D. I know it's one of those

Answer:

I'm kinda thinking it's D Maybe i'm wrong about that

Step-by-step explanation:

Answer:

r^4+h

Step-by-step explanation:

Answer:

[tex]4x^{2}[/tex]

Step-by-step explanation:

Answer:

4[tex]x^{2}[/tex]

Step-by-step explanation:

Apply the product rule to 2x.

[tex]2^{2}[/tex] [tex]x^{2}[/tex]

Raise 2 to the power of 2.

[tex]4x^{2}[/tex]

Answer:

8

Step-by-step explanation:

Two negatives mean you make a positive and 4 x 2 is 8

Answer:

8

Step-by-step explanation:

Negative times negative = positive

Cancel out the negative symbol

Now multiply: 2*4=8