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a_sh-v [17]
3 years ago
9

Jasmine wants to have an equal quantity of forks and spoons, what is the least number of packages of forks jasmine should buy to

have an equal quantity of forks and spoons ? Forks are 2.25 for 10 and spoons are 2.50 for 12
Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

Answer:

6 packages of forks

Step-by-step explanation:

If Jasmine wants to have an equal quantity of forks and spoons, we need to list the multiples of each quantity and determine the least common multiple (LCM).

Forks: 10, 20, 30, 40, 50, 60, 70, 80, 90

Spoons: 12, 24, 36, 48, 60, 72, 84, 96

The LCM in this example is 60. In order to have exactly 60 forks and 60 spoons, Jasmine will need to buy 6 packages of forks [60 ÷ 10 = 6] and 5 packages of spoons [60 ÷ 12 = 5].

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Find the slope for (2, 150) and (4,130)
iris [78.8K]

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-10

Step-by-step explanation:

A slope's equation for 2 points on a coordinate plane is y² - y^1 ÷ x² - x^1

Note that the exponents aren't meaning powered, but just as a marking.

x1 is 2, x2 is 4, y1 is 150, y2 is 130

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4 0
3 years ago
Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus
ZanzabumX [31]

Answer:

42.64°

Step-by-step explanation:

Note: A rhombus has all its sides equal, its opposite angle are equal, its  has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.

From the diagram attached,

sinθ = opposite/adjacent

sinθ  = 4/11

θ = sin⁻¹(4/11)

θ = 21.32

Therefore, from the diagram,

The smaller angle of the rhombus = 2θ

The smaller angle of the rhombus = (2×21.32)

The smaller angle of the rhombus = 42.64°

8 0
3 years ago
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