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Advocard [28]
3 years ago
15

A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would h

ave an A for the test! How many students are there in that class?
Mathematics
2 answers:
svlad2 [7]3 years ago
8 0

Answer:

6 students.

Step-by-step explanation:

let the number of students in class be<em> x</em>

Since Half of the class represents half of the students, therefore

Number of student who got A in test = \frac{x}{2}

Now if one more student got A in test then the number of students who got A in test will be \frac{x}{2} +1

Now according to equation,

\frac{2x}{3} = \frac{x}{2} +1

\frac{2x}{3} - \frac{x}{2} = 1

Further solving

\frac{4x-3x}{6} = 1

x = 6

Hence the total number of students in class is 6.

stepladder [879]3 years ago
5 0

Answer:

9

Step-by-step explanation:

1/2x+2/3=2/3x

2/3=4/6x-3/6x=1/6x

x=9

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8 0
3 years ago
An unknown compound has the following chemical formula:
Andru [333]
We are given with 7.5 moles of oxygen and 7.43 moles of nitrogen.To identify the chemical formula of the compound, we divide each numner by the smaller amount between the two. Hence, oxygen is approx. equal to 1 and nitrogen is equal to 1. Hence teh formula is NO or nitric oxide.
8 0
3 years ago
Help me with these questions
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Number 5a.  is 26.78 and 5b. is 8.5
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3 years ago
The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing
Akimi4 [234]

Answer with Step-by-step explanation:

We are given that

\frac{dA}{dt}=150m^2/s

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle,A=\pi r^2

Differentiate w.r.t time

\frac{dA}{dt}=2\pi r\frac{dr}{dt}

Substitute the values then we get

150=2\pi (25)\frac{dr}{dt}

\frac{dr}{dt}=\frac{150}{50\pi}=\frac{3}{\pi} m/s

\frac{dr}{dt}=\frac{3}{\pi} m/s

b.A=1000m^2

Substitute the values then we get

1000=\pi r^2

\pi=3.14

r^2=\frac{1000}{3.14}

r=\sqrt{\frac{1000}{3.14}}=17.8m

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150=2\pi(17.8)\frac{dr}{dt}

\frac{dr}{dt}=\frac{150}{2\pi(17.8)}=\frac{150}{35.6\pi}m/s

\frac{dr}{dt}=\frac{75}{17.8\pi}m/s

4 0
3 years ago
An ore ship is traveling west toward Duluth on Lake Superior at 18 miles per hour. The bearing of Split Rock Lighthouse is 285de
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5 0
3 years ago
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