5460 = 22 x 3 x 5 x 7 x 13

=> GCD (3432 ; 5460) = 22 x 3 x 13 = 156

So x = 16

P/S : 16 is the number of positive factors of 1998,so 1998 has 32 integer factors

The odd number between the six remaining numbers is:

1337 : 7 = 191

So 7 consecutive numbers are 185 ; 187 ; 189 ; 191 ; 193 ; 195 ; 197

b3 = 3375 = 153 => b = 15 => a = 13 ; c = 17 => ac = 221

 1

The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)

Answers:60 minute

The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)

Answers:60 minute

Numbers sweet is the biggest that he can get from the shop is : 

                                         30 : 3 = 10 (sweet)

                                                 Answer : 10 sweet 

Number of female is :       60 x 3 : 5 = 36 ( student )

Number of male is :           60 - 36 = 24 ( student )

                                                    Answer : 24 student

The edge length of the cube is :

3√2162163 = 6 (cm) because 6 x 6 x 6 = 216 

The area is :

6 x 6 = 36 (cm2)

Change : half an hour = 0,5 hour

The speed of the car is :

   ( 25 - 5 ) : 0,5 = 40 ( km / hour )

Answer : 40 km / hour

Change : half an hour = 0,5 hour

The speed of the car is :

   ( 25 - 5 ) : 0,5 = 40 ( km / hour )

Answer : 40 km / hour

b) 28:13=$2\frac{2}{13}$

c) 27:21= $1\frac{2}{7}$

d) 15:10=$1\frac{1}{2}$

e) 45:6=$7\frac{1}{2}$

$1\frac{5}{14}$

b) 28:13=$2\frac{2}{13}$

c) 27:21= $1\frac{2}{7}$

d) 15:10=$1\frac{1}{2}$

e) 45:6=$7\frac{1}{2}$

a) Five fractions equals 3/5: 6/10; 9/15; 12/20; 15/25; 30/50.

b) Five fractions equals 5/8: 10/16; 15/24; 20/32; 25/40; 50/80.

c) Five fractions equals 36/108: 1/3; 2/6; 3/9; 12/36; 18/54. 

$\frac{2a+b+c+d}{a}=\frac{a+2b+c+d}{b}=\frac{a+b+2c+d}{c}=\frac{a+b+c+2d}{d}$

$\Rightarrow \frac{2a+b+c+d}{a}-1=\frac{a+2b+c+d}{b}-1=\frac{a+b+2c+d}{c}-1=\frac{a+b+c+2d}{d}-1$

$\Rightarrow \frac{a+b+c+d}{a}=\frac{a+b+c+d}{b}=\frac{a+b+c+d}{c}=\frac{a+b+c+d}{d}$

$\frac{2a+b+c+d}{a}=\frac{a+2b+c+d}{b}=\frac{a+b+2c+d}{c}=\frac{a+b+c+2d}{d}$

$\Rightarrow \frac{2a+b+c+d}{a}-1=\frac{a+2b+c+d}{b}-1=\frac{a+b+2c+d}{c}-1=\frac{a+b+c+2d}{d}-1$

$\Rightarrow \frac{a+b+c+d}{a}=\frac{a+b+c+d}{b}=\frac{a+b+c+d}{c}=\frac{a+b+c+d}{d}$

$\frac{2a+b+c+d}{a}=\frac{a+2b+c+d}{b}=\frac{a+b+2c+d}{c}=\frac{a+b+c+2d}{d}$

$\Rightarrow \frac{2a+b+c+d}{a}-1=\frac{a+2b+c+d}{b}-1=\frac{a+b+2c+d}{c}-1=\frac{a+b+c+2d}{d}-1$

$\Rightarrow \frac{a+b+c+d}{a}=\frac{a+b+c+d}{b}=\frac{a+b+c+d}{c}=\frac{a+b+c+d}{d}$

$=\frac{\frac{17}{6}+\frac{4}{9}}{\frac{121}{12}-\frac{19}{2}}$

$=\frac{\frac{51}{18}+\frac{8}{18}}{\frac{121}{12}-\frac{114}{12}}$

$=\frac{\frac{59}{8}}{\frac{7}{12}}$

$=\frac{59.12}{7.8}=\frac{177}{14}$

Ans : $B=\frac{177}{14}$.

$=\frac{23}{18}:\frac{5}{18}:\left(\frac{1}{15}+\frac{13}{12}\right)$

$=\frac{23}{5}:\frac{23}{20}=\frac{20}{5}=4$

$D\; =-\frac{1}{7}\left(9\frac{1}{2}-9,75\right):\frac{2}{7}+0,625:1\frac{2}{3}$

$=\left(-1\right).\frac{1}{7}:\frac{2}{7}.\left(9,5-9,75\right)+\frac{5}{8}:\frac{5}{3}$

$=-\frac{1}{2}.\left(-0,25\right)+\frac{3}{8}$

$=\frac{1}{2}+\frac{3}{8}=\frac{4+3}{8}=\frac{7}{8}$