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spin [16.1K]
3 years ago
10

On a certain French-American committee, 2/3 of the members are men, and 3/8 of the men are Americans. If 3/5 of the committee me

mbers are French, what fraction of the members are American women?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

3/20

Step-by-step explanation:

Number of American Men: (2/3)(3/8) = 1/4

Number of American Women: 1 - (3/5) - (1/4) = 3/20 of the members are American women.

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A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equatio
Aleks [24]

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

5 0
3 years ago
What are the lengths of the sides of the right triangle
Juli2301 [7.4K]

Answer:

The correct answer choices are:

D) x – h

G) y – k

Step-by-step explanation:

Edge2021

4 0
3 years ago
A rhombus is a four-sided figure with all sides the same length.
kumpel [21]

The perimeter of the rhombus FGHJ is 20 units

<h3>How to graph the rhombus</h3>

The coordinates are given as:

F = (-2, -2)

G = (-2, 3)

H = (2, 6)

From the question, we understand that vertex J is directly below vertex H.

This means that vertices H and J have the same x coordinate.

So, we have

J = (2, y)

The distance between F and G is 5 units,

So, we have

J = (2, y - 5)

Where

y = 6 i.e. the y coordinate of H

This gives

J = (2, 6 - 5)

Evaluate

J = (2, 1)

See attachment for the graph of the rhombus

<h3>The perimeter</h3>

In (a), we have:

The distance between F and G is 5 units,

This means that

FG = 5

The side lengths of a rhombus are equal.

So, the perimeter is

P = 4 * FG

This gives

P =4 * 5

Evaluate

P = 20

Hence, the perimeter of the rhombus is 20 units

Read more about rhombus at:

brainly.com/question/26154016

#SPJ1

4 0
1 year ago
The value of 2 · 5^2 is 100. True or False?
rosijanka [135]
1. False
2. There isn’t a variable, I cannot answer.
7 0
3 years ago
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