Step-by-step explanation:
1- 6(x+8)=5x+4. First calculate the brackets.
2- 6x+48=5x+4 (multiply the number in front of the brackets with the numbers in the brackets) so 6×X= 6x and 6×8= 48
3- 6x-5x= -48+4 put the numbers with x on the left hand side and the others on the right hand side. (when moving from side to the other side you convert + into - or reversed)
4- x= -44 now work out the sums and then you get x
Answer:
177
Step-by-step explanation:
2/3 are women.
that means the remainder, 1/3, are men.
59 = 1/3 of all kindergarten teachers (3/3 = 1 representing the "whole").
so,
59×3 = 177
is the number of all kindergarten teachers employed by the school district.
Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Answer:
-1.5
Step-by-step explanation:
1 penny = 0.005 ft
total amt of pennies = 1264/0.005 = 252800 pennies
