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ra1l [238]
2 years ago
14

There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?

Mathematics
1 answer:
svlad2 [7]2 years ago
6 0

Answer:

12 Men

Step-by-step explanation:

Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D

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Theo has a cubic container. If the height of the container is 6 meters, what is the volume of the container
sattari [20]
Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
Volume of cube = 6^3 = 216 m^3
8 0
3 years ago
What are the coordinates of the point on the directed line segment from (1,-5) to
Black_prince [1.1K]

Answer:

Q (2.5, -4)

Step-by-step explanation:

Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5

AQ = (x - 1, y + 5)

QC = (10 - x, 1 - y)

AQ:QC = 1:5

so 5*AQ = QC

5(x - 1) = (10 - x)

5(y + 5) = 1 - y

Solve them:

5x - 5 = 10 - x

6x = 15

x = 15/6 = 2.5

5y + 25 = 1 - y

6y = -24

y = -24/6 = -4

Then answer is Q (2.5, -4)

6 0
2 years ago
a ship sails 20km due north. It changes direction and then sails 15 due east. How far is it from its starting point? ​
Feliz [49]
It is 35km from its starting point
7 0
2 years ago
Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest
Stolb23 [73]

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

7 0
3 years ago
20 POINTS! EMERGENCY!
Rina8888 [55]

Hello There!

The answer is that the Y intercept is 4.

The y intercept is where the graph crosses the y axis. It goes vertical

3 0
3 years ago
Read 2 more answers
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