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natita [175]
3 years ago
14

On a survey ⅞ students said that they preferred music over Art of those students who chose music 5/7 of them want to learn a ins

trument what fraction represents the students who chose music and want to learn an instrument
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Let x be the total number of students.

We know that 7/8x chose music over art.

5/7 of those students want to learn an instrument, so we have to multiply the number of students who chose music by 5/7:

\dfrac{7x}{8}\cdot \dfrac{5}{7}=\dfrac{5x}{8}

So, 5/8 of the students want to learn an instrument.

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If AD=6 and AB=24, find AC
ruslelena [56]
When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)

Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12

By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.

Answer: b=12
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3 years ago
Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea
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Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters  and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

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Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

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n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

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3 years ago
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