PLZ HELP, ASAP! A hotel offers two activity pages. One costs $192 and includes 3 hours of horseback riding and 2 hours of paasailing. The second costs $213 and includes 2 hours of horsebac riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?
A. Parasailing: $39; Horseback Riding: $48
B. Parasailing: $51; Horseback Riding: $30
C. Parasailing: $27; Horseback Riding: $46
D. Parasailing: $63; Horseback Riding: $24
Answers
Greetings!
Answer:
Horseback riding costs $30 and parasailing costs $51, so B.
Step-by-step explanation:
This is answered by using simultaneous equations, let x be parasailing and y be horseback riding.
3y + 2x = 192
2y + 3x = 213
Multiply each equation by the number in front of the y of the other equation:
2 x (3y + 2x = 192)
3 x (2y + 3x = 213)
Which results in:
6y + 4x = 384
6y + 9x = 639
Simply minus the two equations to get rid of the y:
6y - 6y = 0
4x - 9x = -5x
384 - 639 = -255
The negatives cancel out which give a result:
5x = 255
x =
x = 51
So parasailing costs $51
Now you can simply plug this value into one of the equations:
3y + (2 x 51) = 192
192 - 102 = 3y
90 = 3y
y =
y = 30
So horseback riding costs $30!
Hope this helps.
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Answers
$91.35 * 2 =
= $90.00 * 2 + $1.00 * 2 + $0.35 * 2 =
= $180.00 + $2.00 + $0.70 =
= $182.70
Answer: They will pay $182.70 for two nights at the hotel.
91.35
+91.35
------------
182.70
Answers
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex
(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625
Answer:
y=-49/16
Step-by-step explanation:
Perimeter = 58 cm, area = 209.25 cm2
Perimeter = 58 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 2,700 cm2
Perimeter = 210 cm, area = 209.25 cm2
Answers
Answer with Step-by-step explanation:
The perimeter(P) and area(A) of a rectangle is given by:
P=2(l+w)
A=lw
Where l is the length and w is is the width of the rectangle
original length and width
l=8 cm
w=6 cm
New length and width
l'=8×7.5=60 cm
w'=6×7.5=45 cm
P=2(60+45)
=210 cm
Area=60×45
=2700 cm²
Hence, Correct option is:
Perimeter = 210 cm, Area = 2,700 cm²
P=2(L+W)
A=LW
original L and W
L=8cm
W=6cm
new
nL=8*7.5=60cm
nW=6*7.5=45cm
newP=2(60+45)=2(105)=210cm
newA=(60)(45)=2700cm^2
3rd from top is answer
9.5,9 3/10, and 9.9
Answers
9 3/10 is equal to 9.3
Answers
Answers
For the first choice, you get y= 6 so it's wrong
For the second choice, you get y= -2 so it's wrong as well
For the third choice, you get y= -4. This is the right answer
For the last choice, you get y= 4 which is wrong
Hope this helps, let me know if you have any questions