7) x= men
x+6= women
x + (x+6)= 30
2x + 6= 30
2x= 24
x= 12
x+6= 18
8) x= first integer
x+1= second integer
x+2= third integer
x + (x+1) + (x+2)= 153
3x + 3= 153
3x= 150
x= 50
Second integer
= x+1
= x+50
= 51
9) x= first integer
x+2= second integer
x+4= third integer
x + (x+2) + (x+4)= 54
3x + 6= 54
3x= 48
x= 16
x + (x+2)= 34
16 + 16 + 2= 34
34=34
10) rate= 356 km/hr
distance= 1424 km
Distance= rate * time
D= rt
1424= 356 * t
divide both sides by 356
4 hrs= t
ANSWERS:
7) 18 (B - second choice down)
8) 51 (B - second choice down)
9) 16 (D - fourth choice down)
10) 4 (B- second choice down)
Hope this helps! :)
A’B’C’D’ is obtained by translating ABCD 3 units to the right (i.e. a positive translation of 3 units along the x axis) and 5 units down (i.e. a negative translation of 5 units along the y axis).
So, in order to go back to ABCD, we have to invert both translation: we have to go 3 units to the left (i.e. a negative translation of 3 units along the x axis) and 5 units up (i.e. a positive translation of 5 units along the y axis).
75 inches / 33 inches : 1,250 / shadow
75 * shadow = 33 * 1,250
shadow = 41,250 / 75
shadow = 550 feet
25% of 80
25/100 or 1/4 x 80 = 20
So $20 were spent on shorts, then $60 were left over.
65% of 60 on sandals.
so 65/100 x 60 = 39
So we can see that the sandals cost $39.
