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ValentinkaMS [17]
3 years ago
15

Please help! Correct answers only please! The M&M jar has a square base with a length and width of 7 cm and a height of 6.5

cm. What would be the most reasonable lower limit for the number of M&M`s in the jar of the choices below? A.100 B.10,000 C.100,000 D.1,00,000

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Answer: a) 100

<u>Step-by-step explanation:</u>

Volume (V) of the prism = Length(L) x width(w) x height(h)

V = 7 x 7 x 6.5

   = 318.5 cm³

Next, what is the volume of an M & M? The info isn't given so according to the internet it is 0.636 cm³

\text{Quantity}=\dfrac{\text{Volume of the prism}}{\text{Volume of an M}\ \&\ \text{M}}}=\dfrac{318.5}{0.636}=\large\boxed{500}

The nearest answer to this is: (a) 100

because the upper limit cannot be 10,000

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Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.
lubasha [3.4K]

Answer:

The answer is ellipse; 23° to the nearest degree ⇒ answer (d)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

- 9x² + 4xy + 5y² - 40 = 0

∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

∴ B² - 4AC < 0

∴ If a conic exists, it will be either a circle or an ellipse.

* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

 equal to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same

 sign, then the graph is a circle.

∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

4 0
3 years ago
What's 763.53 × 63.97 = ?​
Klio2033 [76]

Answer: 48843.0141

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)lef
Elena L [17]

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }

Substitute the given coordinates into above equation

d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

7 0
3 years ago
A sofa is on sale for $219, which is 27% less than the regular price.<br> What is the regular price?
Tems11 [23]

Answer:

$300 was the regular price of the sofa.

Step-by-step explanation:

If $219 is 27% less than the regular price, then it represents 73% of the regular price.

Regular price = r.

r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.

To divide fractions, reverse the second fraction and MULTIPLY:

$219/1 x 100/73 = 21900/73 = 300.

7 0
3 years ago
If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.
lions [1.4K]
Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
8 0
2 years ago
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