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kenny6666 [7]
3 years ago
8

In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the acti

vities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

Hello,

Total number : 70

Step-by-step explanation:

20 + 25 = 45

45 liked music

X liked sport only

X + 25 liked sport

45 / 9 = (X + 25) / 7  ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10

10 liked sport only

Total students in group : 45 + 10 + 15 = 70

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Simplify the following surd expressions<br> a) 7/3 - 2/3 + V3 - 3V3
Nata [24]

Answer:

\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}    

Step-by-step explanation:

Given the expression

\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3

solving the expression

\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}

combine the fractions i.e \frac{7}{3}-\frac{2}{3}=\frac{5}{3}

\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}

add similar elements  i.e \sqrt{3}-3\sqrt{3}=-2\sqrt{3}

                                 =\frac{5}{3}-2\sqrt{3}      

Thus,

\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}                        

4 0
2 years ago
The point of tangency of line S to circle A is M. True False
Nadusha1986 [10]

Answer:

False

Step-by-step explanation:

Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.

At the point of Tangency, Tangent to a circle is always perpendicular to the radius.

We are supposed to find The point of tangency of line S to circle A is M

Considering the definition,

The lines S touches the circle at point J not at M

So,The point of tangency of line S to circle A is M is False

So, Option B is correct

Hence The point of tangency of line S to circle A is M is False

8 0
3 years ago
Which best describes the relationship between the successive terms in the sequence below?
77julia77 [94]
The answer for your question is C
8 0
3 years ago
A multiplication expression without exponents that is equivalent to (3ª)(3)
stealth61 [152]
(3)3 is 9 and (3)4 is 12
8 0
3 years ago
Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has
ololo11 [35]

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

\frac{4}{3}x\text{ inches}^2

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

81(\frac{4}{3}x)\text{ inches}^2

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

\frac{4}{3}x(k^2)=81(\frac{4}{3}x)

Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:

k^2=81

Take the square root of both sides:

k=9

So, the scale factor from the actual stamp to the picture is 9.

So, the actual stamp has a length of 4/3.

Then ThThe length of the stamp’s picture will be:

\frac{4}{3}k

Substitute 9 in for k to get:

=\frac{4}{3}(9)=12

So, the length of the stamp’s picture is 12 inches.

8 0
2 years ago
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