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harina [27]
3 years ago
14

At the museum, the O'Rourke family bought 3 adult tickets and 2 children tickets for $23.50. The Patel family bought 2 adult tic

kets and 4 children's tickets for $25. Find the cost of each type of ticket.
Mathematics
1 answer:
Tresset [83]3 years ago
4 0
6.25 for each kids ticket and 11.75 for each adult ticket
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Please Help!!
leva [86]

Answer:

0.0069

Step-by-step explanation:

This is a power series problem.

The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......

Our question says we should use the first 5 terms to find the value of sin(π). Thus;

sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!

This gives;

π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069

5 0
3 years ago
A moon is about 420000 miles away from it orbits.
Pie
A: 4.2* 10^{5}

B: 6*10^{4} is 60000 so to find the answer do 420000/60000 to get a final time of 7 hours.

It would take 7 hours to get to the moon
7 0
3 years ago
Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.
Aleks04 [339]
Let
<span>A------> (−3, −11)
B------>  (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> </span>m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4)  find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case <span>a. they have the same slope------> is not correct
because
</span><span>y=35x−6------> the slope m=35
</span>y=(5/3)x-6---> the slope m =5/3

case <span>b. they have the same x-intercept.----> is not correct
because
</span>the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case <span>c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> </span><span>this condition is not satisfied
</span>
the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

 they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0
3 years ago
Find the values of a and b such that<br> x^2 + 3x + 4 = (x + a)^2+ b
sesenic [268]

Answer:

x {}^{2}  + 3x + 4 = (x  + a) {}^{2}  + b \\ x {}^{2}  + 3x + 4 = x {}^{2}  + 2ax + a {}^{2} + b \\   = x {}^{2}  + a {}^{2}  + 2ax + b \\  2a = 3 \\ b = 4 \\ a  =  \frac{3}{2}  \\ b = 4

8 0
3 years ago
Write an equation for the function graphed below. k(t)=
zloy xaker [14]

Answer:

I think that the equation would be Y= -2X^2-4X-4 .

Step-by-step explanation:

Hope it wad helpful :)

5 0
2 years ago
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