Percent means parts out of 100
30%=30/100=3/10
'of' means multiply
60 is 30% of what translates to
60=3/10 times what
multiply both sides by 10/3
600/3=what
200=what
the number is 200
Answer:
Step-by-step explanation:
2:3 boy:teacher 8:12
4:5 teacher:girl 12:15
8:12:15 boy:teacher:girl
1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)
2) a81 = 20 + 4*80 = 340;
2) ---> A)
3) a12 = ?
3) ---> B) or D).
ANSWER
See attachment
EXPLANATION
The given equations are:
y = −2x + 13
y = 2x − 3
We equate the two equations to get
−2x + 13=2x − 3
Group similar terms:
-2x-2x=-3-13
-4x=-16
Divide both sides by -4,
x=4
Put x=4 into equation (2)
y=2(4)-3
y=5
The two graphs should intersect at:
(4,5)
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
