11a:
3x+5=5x-57
3x-5x=-57-5
-2x=-62
x=31
11b:
2x+2x+4x+150+4x+150=360
12x+300=360
12x=360-300
12x=60
x=5
hope this helped !!
Answer:
TP = 13
Step-by-step explanation:
The height of the trapezoid can be found from the area formula:
A = (1/2)(b1 +b2)h
h = 2A/(b1 +b2) = 2(100)/(32 +8)
h = 5
The horizontal length of each triangular end of the trapezoid is ...
(32 -8)/2 = 24/2 = 12
so the hypotenuse of the triangular end of the trapezoid is ...
TP = √(12^2 +5^2) = √169
TP = 13
The sides of the trapezoid have length 13 units.
Answer:
$191
Step-by-step explanation:
The function is given by :
m(x) = 4.50x-7 ...(1)
Where
m(x) is the total cost if you buy x 12 packs of Mountain Dew.
We need to find the cost you pay to buy 44 12-packs of Mountain Dew
Put x = 44 in equation (1), we get :
m(x) = 4.50(44)-7
m(x) = 198-7
m(x) = $191
Hene, the cost for 44 12- packs of Mountain Dew is $191.
Mikes house is in quadrant III [ 3 ]
There is no specification of the coordinates of his house.
Lets put ti this way:
P[1st serve good & wins point] = 60% * 70% = 42% = A
<span>P[2nd serve good & wins point] = 40% * 76% *57% = 17.328% = B </span>
<span>1. P[win point] = A+B = C = 59.328% <------- </span>
<span>2. P[1st serve good | win point ] = A/C = 42 / 59.328 = 0.707 or 70.7%
Please </span><span>remember that 2nd serve come into use only if 1st serve is not good</span>
