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3 years ago

In an examination, 200 students out of 500, obtained first division. What percentage of student got first division

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer: 40%

Step-by-step explanation:

200 out of 500

200/500 or 2/5

1/5 is the same as 20%

Times by 2 you get 40%

2/5 = 40%

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If you sleep 33% in a day, how many hours is that?

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We know that
one day is equal to $24 hrs$
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$33$ % of the day is equal to
$(\frac{33}{100} )*24 \\ =7.92 hrs$

the answer is
$7.92 hrs$

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3 years ago

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Jeremy spent $26.50 for 5.5lb. What would be the price of 1 pound of dog food

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Answer:

$4.81

Step-by-step explanation:

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3 years ago

Graph the equation x-y=6

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$x-y=6\\\\The\ slope-intercept\ form:y=mx+b\\\\-y=-x+6\\y=x-6\\\\y-intercept\ (x=0)\\y=0-6=-6\\(0;-6)\\\\x-intercept\ (y=0)\\-x+6=0\\x=6\\(6;\ 0)$

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3 years ago

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Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

5 0

2 years ago

Please answer now I’m giving out 100 points

N76 [4]

4 liters of punch can serve 16.

5 liters of punch will be needed for 20 servings.

7 liters of punch will serve 28.

Step-by-step explanation:

Given,

Ratios of liters of punch to servings = 2:8

Let,

x be the servings for 4 liters.

New ratio of liters of punch to servings = 4:x

Using proportion;

Ratio :: New ratio

$2:8::4:x$

Product of mean = Product of extreme

$8*4=2*x\\32=2x\\2x=32$

Dividing both sides by 2

$\frac{2x}{2}=\frac{32}{2}\\x=16$

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

$2:8::y:20$

Product of mean = Product of extreme

$8*y=20*2\\8y=40\\$

Dividing both sides by 8

$\frac{8y}{8}=\frac{40}{8}$

y=5

5 liters of punch will be needed for 20 servings.

Let,

z be the number of servings for 7 liters of punch.

New ratio = 7:z

Using proportion

$2:8::7:z\\$

Product of mean = Product of extreme

$8*7=2*z\\56=2z\\2z=56$

Dividing both sides by 2

$\frac{2z}{2}=\frac{56}{2}\\z=28$

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

4 0

3 years ago