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3 years ago

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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?

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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37= -3+5(x + 6) slove for x

lions [1.4K]

Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
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(
6
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37
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−
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+
5
x
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30
37
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(
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(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
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10
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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.

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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

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

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

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

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