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blagie [28]
3 years ago
5

Lee Middle School orders 15 textbooks for every 12 students. The table shows how many textbooks the school orders for certain nu

mbers of students. Predict the number of textbooks that the school would order for 72 students.
Students 12, 24, 48, 96, 192
Textbooks 15, 30, 60, 120, 240
Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer: 90 textbooks


Step-by-step explanation:

everytime you multiply the number of students you multiply the books by the same number. to find how many times 72 was multiplied you divide it by 12.

72 ÷ 12 = 6

then multiply the original number of books (15) by 6.

15 * 6 = 90

so for every 72 students the school orders 90 textbooks

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Vinvika [58]

Answer:

(C) 5 decimeters

Step-by-step explanation:

A therapist is using an elastic band to strengthen a patient's knee after surgery.

The patient's knee can tolerate a maximum of 20 kg i.e. 20000 gm weight of force.

If the elastic band provides 40 gm of weight force for every millimeter of its extension.

then this can be extended up to \frac{20000}{40} =500 millimeters, which is equal to 5 decimeters.  

Therefore, option c is correct. (Answer)

7 0
3 years ago
Define mass and volume flow rates. How are they related to each other?
Anettt [7]

Answer:

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

\rho=\frac{\dot{M}}{\dot{V}}

Step-by-step explanation:

Consider the provided information.

We need to Define mass and volume flow rates and how they are related.

The mass of a substance that passes per unit of time is called the mass flow rate, the unit of mass flow rate is kilogram per second in SI units.

The volume of fluid which passes per unit time is called volume flow rate.

The relation between them is:

The Mass flow rate = Density × Volume flow rate

Or

\rho=\frac{\dot{M}}{\dot{V}}

Where ρ is the density.

8 0
3 years ago
10 ь, If d = 10 inches, c = 9 inches, b = 6 inches, and h = 5 inches, what is the area of the triangle above? A. 25 sq in. B. 15
MakcuM [25]

Answer:

D. 30 sq in.

Step-by-step explanation:

10+9+6+5=30 sq in.

6 0
3 years ago
Involves sine/cosine rules
katen-ka-za [31]

Answer:

44.47 cm² (nearest hundredth)

Step-by-step explanation:

Area of ΔABC = 1/2 x base x height

⇒ 21 = 1/2 x 7 x BC

⇒ BC = 6 cm

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AB² + BC² = AC²

⇒ 7² + 6² = AC²

⇒ AC² = 85

⇒ AC = √85 cm

Cosine rule to find length AD:

      c² = a² + b² - 2 ab cosC

⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)

⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°

⇒ AD²  - 5.39106...AD + 0.36 = 0

⇒ AD = 5.323442445, 0.06762541414

⇒ AD = 5.323442445

Area of a triangle ADC: (1/2)absinC

(where a and b are adjacent sides and C is the angle between them)

⇒ area = (1/2) × AC × AD × sin(DAC)

⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)

⇒ area =23.4675821... cm²

Area of quadrilateral = area of ΔABC + area of ΔADC

                                   = 21 + 23.4675821...

                                   = 44.47 cm² (nearest hundredth)

4 0
2 years ago
Which expression is equivalent to 4f2/3 ÷ 1/4f ?<br>​
zlopas [31]
The first answer: 16f^3/3
4 0
3 years ago
Read 2 more answers
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