Which set of numbers could be the length of the sides of a triangle?

Of the 60 students in a school, 24 are currently studying chemistry. Exactly 16 of the girls in the school are not currently stu

garri49 [273]

Answer:

7 boys.

Step-by-step explanation:

Given:

Total number of students in the school = 60

Total number of girls in the school = 33

Total number of students currently studying chemistry = 24

Total number of girls not currently studying chemistry = 16

Question asked:

How many boys are currently studying chemistry ?

Solution:

Total number of girls in the school = 33

Total number of girls not currently studying chemistry = 16

Total number of girls currently studying chemistry = Total number of girls in the school - Total number of girls not currently studying chemistry

Total number of girls currently studying chemistry = 33 - 16 = 17

Now:-

Total number of boys and girls currently studying chemistry = 24

Total number girls currently studying chemistry = 17

Total number of boys currently studying chemistry = Total number of boys and girls currently studying chemistry - Total number girls currently studying chemistry

Total number of boys currently studying chemistry = 24 - 17 = 7

Therefore, 7 boys are currently studying chemistry.

5 0

3 years ago

2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = -33 {2x - 4y + 3z = 42

Semmy [17]

From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved.

3x - 2y + 2z = 30 (1)
-x + 3y - 4z = -33 (2)
2x - 4y + 3z = 42 (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
x =3y - 4z + 33 (2)

3 (3y - 4z + 3) - 2y + 2z = 30 (1)
2 (3y - 4z + 3) - 4y + 3z = 42 (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
z = 2

6 0

3 years ago

The potential energy, P, in a spring is represented using the formula P = 1/2kx2. Lupe uses an equivalent equation, which is sol

sukhopar [10]

Answer:

$k=\frac{2P}{x^2}$

Step-by-step explanation:

The formula is $P=\frac{1}{2}kx^2$

We need to solve for $k$ , so we can perform the steps shown below:

$P=\frac{1}{2}kx^2\\P=\frac{kx^2}{2}\\2P=kx^2\\\frac{2P}{x^2}=k$

Hence, the third answer choice is correct.

7 0

3 years ago

Read 2 more answers

A doctor has invented a relaxation method that he

likoan [24]

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

4 0

3 years ago

The blue segment below is a diameter of O. What is the length of the radius of the circle?

svlad2 [7]

Diameter= 2 times the radius

2r=d
2r=10.2
R= 10.2/2
R=5.1

Therefore, the radius is 5.1 units which makes the answer choice C correct.

Hopefully, this helps!

5 0

3 years ago

Read 2 more answers