Answer:
ties cost $3
shirts cost $15
Step-by-step explanation:
s=shirts
t = ties
3 shirts and 5 ties cost $60:
3s+5t=60
2 shirts and 3 ties cost $39:
2s+3t=39
−2(3s+5t=60)
3(2s+3t=39)
−6s−10t=−120
6s+9t=117
add equations together:
−t = −3
t = 3
so ties cost $3, use either of the original equations to solve the price of shirts:
2s+3⋅(3)=392
s+9=392s=30
s=15
so shirts cost $15
Answer:
(-3,0) and (2,-1)
Step-by-step explanation:
For (-3,0) x=-3 , y=0:
Putting in given inequality :
y < x2 - 4x + 3
0 < -3^2 -4*-3 +3 ("-" into "-" becomes "+")
0 < 9 +12 +3
0< 24 true
For (2, -1) x=2 , y= -1
Putting in given inequality :
y < x2 - 4x + 3
-1 < 2^2 -4(2) +3
-1 < 4 -6 +3
-1 < 7-6
-1 < 1 true
For (1,0) x=1 y=0
Putting in given inequality :
y < x2 - 4x + 3
0 < 1^2 -4(1)+ 3
0< 1- 4 + 3
0< 4 - 4
0 < 0 false
Hence, (-3,0) and (2,-1) are in the solution set of y < x2 - 4x + 3.
<em> I hope it will help you!</em>
Use proportions.
214/236=x/100(100 because it's a percentage.
cross multiply:
23600=214x
solve for x:
x= 11.3(rounded)
11.3% increase
I search it but I failed sorry
for not answering I just don't know
Answer:
14.4
Step-by-step explanation:
We solve the above question using Cosine Rule
The formula is given as:
BC² = AB²+ AC²﹣2 × AB × AC cos A
BC² = 6² + 13²﹣2 × 6 × 13 × cos(91°)
BC = √6² + 13²﹣2 × 6 × 13 × cos(91°)
BC = 14.41258
Approximately
BC = 14.4