The volume of this rectangular prism is 80 cm (small number 3) Use the volume formula to determine the height of this prism.​

The expressions that can be used to derive the quadratic inequality for the

situation are;

Reasons:

The parameters of the restaurant are;

The charge per buffet = $10

Number of customers that choose the buffet every hour = 16 customers

For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.

The required minimum revenue per hour = $130

Required:

The situation is to be modelled as a quadratic inequality.

Two expressions for the situation, one for the cost and one for the

customers.

Assumption: x = The number of $1 increases in the cost of the buffet

Solution:

The expressions are;

Which gives;

Cost × Customers = Revenue

The inequality that models the situation is therefore;

(10 + x) × (16 - 2·x) ≥ 130

Which gives;

160 - 20·x + 16·x - 2·x² ≥ 130

160 - 4·x - 2·x² ≥ 130

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Answer:

Cost: 10 + x

Customers: 16 - 2·x

Step-by-step explanation:

I got it right. Hope this helps.

Answer:

r > -1

Step-by-step explanation:

4r + 10 > 6

4r + 4 > 0

4 > -4r

-4 < 4r

-1 < r

r > -1

Answer:

Step-by-step explanation:

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

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The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

First, we have to find the price for each ounce.

So for the 10-ounce box:

⇒ 2.12 / 10

Apply the division operation,

⇒ $0.212 per ounce.

Now for the 14-ounce box:

⇒ 2.74/ 14

Apply the division operation,

⇒ $0.19 per ounce.

Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21

Therefore, the 14-ounce box is cheaper at a cost of $2.74.

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Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

Answer:

a. KJ

b. GF

c. HFG

d. FIJ

e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.

Step-by-step explanation:

hope this helps :)

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Answer:

Step-by-step explanation:

me too i dont know

Answer:

Step-by-step explanation:

Total surface area:

We are given:

Find the value of l:

Use Pythagorean to find the height h of the pyramid:

Find the volume:

Answer:

40.8 ÷ 12 = 3.4

Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

⇒ 40.8 divide by 12

Let us assume that, a is divided by b,

Then, it can be written as,

⇒ a / b

Hence, We can write as,

⇒ 40.8 / 12

⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

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the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

.,........................

Answer:

$6.25

Step-by-step explanation:

divide the weight by price

Answer:

$1.79

Step-by-step explanation:

h + 5f = 8.74 → (1)

2h + 3f = 7.75 → (2)

Multiplying (1) by 3 and (2) by - 5 and adding will eliminate f

3h + 15f = 26.22 → (3)

- 10h - 15f = - 38.75 → (4)

Add (3) and (4) term by term to eliminate f

- 7h = - 12.53 ( divide both sides by - 7 )

h = 1.79

The hamburger cost $1.79

Answer:

B) 306°

Step-by-step explanation:

1. Pentagons have a sum of interior angles of 540°

2. Triangles have a sum of interior angles of 180°

3. Knowing that triangle EFA is isosceles, we know that

   <FEA = *<FAE, so they are equal to:  (180° - <F) /2   =   (180° - 36°) / 2

   = 144° / 2  

   = 72°

4. m<A + m<B + m<C + m<D + m<E = 540°

   It is also given that **m<D = 90°,

   so therefore m<A + m<B + m<C + m<E = 450°

5. Now to find a+b+c+d   (m<a + m<b + m< c+ m<d),

       m<a = m<E - 72°    and    m<d = m<A - 72°

   This means that

   m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°

6. Finally,

m<a + m<b + m< c+ m<d  =  450° - 72° - 72°  =  306°

EXTRAS

* < is an angle symbol

** m<D means measure of angle D

The missing product of the reaction is BaCl2 and we can see that barium has two electrons on its outermost shell.

The complete reaction is  Ba(ClO3)2 → BaCl2 +  3O2. From the reaction equation, we can see that the missing product is BaCl2. The compound is composed of one barium atom and two chlorine atoms.

Since chlorine has seven valence electrons, it means that it requires two electrons from barium to complete its octet in BaCl2. This now means that barium has two electrons in its outermost shell.

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OXIDATION UNIT TEST

1. Which statement best explains why magnesium and chlorine combine in a 1:2 ratio?

A. Magnesium has two valence electrons, and chlorine can accept one electron in its outer shell

2. Hydrogen and nitrogen combine to form ammonia. When nitrogen and hydrogen bond, nitrogen pulls the electrons from hydrogen toward itself. Which statement about the reactants is correct?

C. Hydrogen is oxidized, and nitrogen is reduced.

3. C3H8 + 5O2 → 3CO2 + 4H2O + energy

Which type of reaction is shown?

C. combustion

4. Which phrase best defines a redox reaction?

D. a reaction in which electrons are transferred between different atoms

5. Which statement describes the process of oxidation?

D. Oxidation results in a loss of electrons, so the oxidation number increases.

6. Which chemical equation represents a redox reaction?

D. Fe2O3(s) + 2Al(s) → Al2O3(s) + 2Fe(l)

7. Which statement correctly describes the oxidation number of the manganese atom (Mn) in MnI2 and MnO2?

A. Manganese has an oxidation number of +2 in MnI2 and +4 in MnO2.

8. Br2(l) + 2NaI(aq) → I2(s) + 2NaBr(aq)

Which elements are oxidized and reduced in the reaction?

D. Iodine (I) is oxidized, and bromine (Br) is reduced.

9. Which action occurs at an electrode of a galvanic cell?

D. electron transfer

10. Which statement best compares a battery and a galvanic cell?

A. A battery’s source of power is a galvanic cell in which a redox reaction produces electrical energy.

11. Zn + 2H+ → Zn2+ + H2

2Al + 3Cu2+ → 2Al3+ + 3Cu

Which elements are oxidized?

A. zinc (Zn) and aluminum (Al)

12. 2Cr(s) + 3Cu2+(aq) → 2Cr3+(aq) + 3Cu(s)

Which half reaction occurs at the cathode?

B. 3Cu2+(aq) + 6e– → 3Cu(s)

13. Written

14. Written

15. Written

I hope this helps!

Answer:

slope = - 4 , y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 1

Answer:

-4 then -1

Step-by-step explanation:

The number behind the x value is the gradient and the last number is the y - intercept.

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

y=-4/3x-9

hope it helps

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain of f(x) ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range of f(x) ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain of f(x): -6 ≤ x ≤ -1

Range of f(x): -5 ≤ x ≤ -3

Answer:

5x - 15 + 2x + 90 = 180

180 since it's a flat line, and all the angles should add up to 180 which is angle AOB, 90 degrees is already given in the middle.

Simplify all the terms (The algebra portion)

7x - 15 + 90 = 180

7x + 90 = 195

7x = 105

x = 105/7

x = 15

now substitute in x for all these angles

2(15) = 30 degrees is the angle GOB

5(15) - 15 = 60 degrees is the angle AOF

60 + 90 + 30 = 180 degrees.

and x = 15