We first get rid of the fraction by multiplying both sides by 10
this gives us: -70+10x=x-160
subtract x from both sides
this gives us: =-70+9x=-160
add 70 to both sides
this gives us 9x=-90
divide both sides by 9
this gives us x=-10
Answer: 400
Step-by-step explanation:
If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.
Answer
62
5.3
65
5.8
2.5
Step-by-step explanation:
FOr the first one we have the opposite and adjacent side, so we'll use TOA
let x= angle
tan(x)=4.7/2.5
x=61.99 or 62
2.) for this one we can just use pathagoryeous thereom
2.5²+4.7²=c²
28.34=c²
c=5.323
3.) For this one we know that the angles in a traingle must add to 180
let x= missing angle
25+90+x=180
x=65
4.) For this one we have the adjacent side but need the hypotonouse
we will therefore use CAH
cos(25)=5.3/x
5.3/(cos(25))=x
x=5.8
5.) For this one we will just use the pathagoryeous to solve for the missing side
a²+5.3²=5.8²
a²=6.107
a=2.5
Answer:
D, infinitely many solutions
Step-by-step explanation:
1. multiply out
5(x-3) = 5x-15
2. combine like terms
5x-15-3x=8x-15-6x = 2x-15=2x-15
they are equal so there are infinite solutions.
Answer:
2/3
Step-by-step explanation:
Simplify the following:
3/4 - 1/12
Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:
(3×3)/12 - 1/12
3×3 = 9:
9/12 - 1/12
9/12 - 1/12 = (9 - 1)/12:
(9 - 1)/12
9 - 1 = 8:
8/12
The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:
Answer: 2/3
