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3 years ago

In a music group of 45 people, 1/9 are vocalists and the rest play musical instruments. How many play musical instruments

Mathematics

1 answer:

babymother [125]3 years ago

3 0

40 play musical instruments

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Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12

Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0

3 years ago

Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

7 0

3 years ago

a proportional relationship is represented on a graph with a line that had a slope of 65. what is the unit rate of the relations

erik [133]

Answer:

Step-by-step explanation:

8 0

3 years ago

Triangle ABC has coordinates A (0, 1) B (0, 2) and C (3,2). If Triangle ABC is equivalent to triangle EDF, what is the measure o

Elanso [62]

Answer:

Step-by-step explanation:

Segment BC corresponds to segment DF. The length of BC is the distance between coordinates (0, 2) and (3, 2). These points are on the same horizontal line (y=2), so the distance between them is the difference of their x-coordinates: 3 - 0 = 3.

7 0

3 years ago

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When lines are at the same distance apart over their lengths they are ?

svlad2 [7]

Answer:

parallel lines

Step-by-step explanation:

parallel lines are lines that do not meet each other

7 0

3 years ago