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vovikov84 [41]
3 years ago
14

If 45 cookies will serve 15 students, how many cookies are needed for 30 students

Mathematics
2 answers:
valina [46]3 years ago
8 0
90 cookies will feed 30 people just double 45
anzhelika [568]3 years ago
3 0
15 * 2 = 30

Therefore, you multiply 45 by 2 and your answer is the number of cookies need to serve 30 students.

45 * 2 = 90

90 cookies are needed to serve 30 students.
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Solve for x<br><br> 3(ax + 9) = -4 (-2 - 10x)
ivolga24 [154]

Answer:

19

-----   =   x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

19

-----   =   x

40-3a

8 0
3 years ago
A shoe box in the shape of a rectangular prism has a length of 12 inches, a width of 6 1/2 inches, and a height of 4 1/2 inches.
katovenus [111]
12 x 6 1/2 x 4 1/2 = 351in^3
3 0
3 years ago
A. 25,600π in3<br><br><br><br> B. 10,240π in3<br><br><br><br> C. 1280π in3<br><br><br> D. 640π in3
NeX [460]

Answer: The correct answer is B; 10,240π in³

Step-by-step explanation: To calculate the volume of a cylinder, the given formular is

Volume = π r² h, where

radius (r) = 16

height (h) = 40

Pi (π) = 3.14

It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.

Therefore, inserting the values of radius, height and pi into our formular, we now have;

Volume = π r² h

Volume = π x 16² x 40

Volume = π x 256 x 40

Volume = π x 10,240

Therefore the exact volume of the cylinder = 10,240π in³

5 0
3 years ago
1. The diameter of a sphere is 21.6 cm. The volume of the sphere is __
sveta [45]
Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3
6 0
2 years ago
Read 2 more answers
A ladder leans against the side of a house. The angle of elevation of the ladder is 62 degrees and the top of the ladder is 14 f
marysya [2.9K]

Answer:

7.4 feets

Step-by-step explanation:

Distance from bottom of ladder to side of the house = d

θ = 62 ; height, h = 14

Using trigonometry :

Tan θ = opposite / Adjacent

Opposite = height ; adjacent = d

Tan 62° = 14 / d

1.8807264 * h = 14

d = 14 / 1.8807264

d = 7.44

5 0
3 years ago
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