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mafiozo [28]
3 years ago
5

Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number

of students who liked skating was ______. (only put numeric values, no other symbols)
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0
35 students   -    25 % ( or 1/4 of the all students )
35 * 4 = 140
140 - 35 = 105
Answer:
The number of students who liked skating was 105.
Mila [183]3 years ago
4 0
100 % - 75 % = 25 %

25 % = 1/4 of 100 %
75 % = 3/4 of 100 %

35 students = 25 % 

35 * 3 = 105

If 35 students of the school did not like skating, the number of students who liked skating was 105.
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The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

=\frac12(\textrm{ sum of parallel sides})\times height

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

=\frac 12 (b_1+b_2)\times8 in²

=\frac12 (b_2+6+b_2)\times 8 in²

=\frac12(2b_2+6)\times8 in²

According to the problem,

\frac12(2b_2+6)\times8 =96

\Rightarrow 2b_2+6=\frac{96\times 2}{8}                [ Multiplying \frac28 ]

\Rightarrow 2b_2+6=24

\Rightarrow 2b_2=24-6

\Rightarrow 2b_2=18

\Rightarrow b_2=\frac{18}{2}

\Rightarrow b_2=9

Then, b_1=b_2+6

              =9+6

             =15 in

The lengths of the bases are 9 inches and 15 inches.

5 0
4 years ago
If f(x) and f^-4(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(x)?
miss Akunina [59]

For this case we must find the inverse of the following function:

f (x) = 2x + 5

Then, we follow the steps:

We change f (x)by y:

y = 2x + 5

We exchange the variables:

x = 2y + 5

We clear the variable "y":

x-5 = 2y\\y = \frac {x-5} {2}

We change y for f^{-1}(x):

f^{-1}(x) = \frac {x-5} {2}

Answer:

f^{-1}(x) = \frac {x-5} {2}

4 0
3 years ago
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larisa86 [58]

Answer:

x = 53°

Step-by-step explanation:

alternate exterior angles are equal

7 0
3 years ago
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Does anyone know this?
Kobotan [32]

Answer:

53

Step-by-step explanation:

Check it mate, triangles must add up to 180 and the angles at the bottom are equal right? so we know the top angle is 74 so 180-74 = 106. ok so 106 / 2 = 53.

8 0
3 years ago
What is 12=0.5m pls i need help
sergeinik [125]

Answer:

m=24

Step-by-step explanation:

12=0.5m

Divide 12 by 0.5

m=24

7 0
3 years ago
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