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iogann1982 [59]
3 years ago
8

A movie theater sends out a coupon for ​% off the price of a ticket. Write an equation for the​ situation, where y is the price

of the ticket with the​ coupon, and x is the original price of the ticket.65
Mathematics
1 answer:
natali 33 [55]3 years ago
5 0
The orginal price is 65
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Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
2 years ago
Ms. Bergstedt asked two students to come up with two different sequences. Jay created this sequence: The first term is 4 and eac
kumpel [21]
I think you subtract in both.

8 0
3 years ago
Read 2 more answers
NEED HELP ASAP!
ziro4ka [17]
We see it is the y terms squared so it opens left or right

in form
(y-k)^2=4(p)(x-h)
vertex is (h,k)
and p is distance from focus to vertex, also distance from vertex to directix
if p>0, then it opens to the right and dirextix is to the left of vertex
if p<0, then it opens to the left and directix is tothe right of vertex


so
(y-1)^2=4(4)(x-(-3))
vertex is (-3,1)
4>0 so dirextix is to left of vertex
left is in x direction
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4 0
3 years ago
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year e
Jobisdone [24]

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

a = \$57000 --- initial

b = 1\% --- rate

n = 29 --- time

Required

Determine the total amount at the end of 29 years

The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where n = 29

r = 1 + b

r = 1 + 1\%

Express percentage as decimal

r = 1 + 0.01

r = 1.01

The required is the calculated using:

S_n = \frac{a(r^n - 1)}{r - 1}

So, we have:

S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}

S_n = \frac{57000 * (1.3345- 1)}{0.01}

S_n = \frac{57000 * 0.3345}{0.01}

S_n = \frac{19066.5}{0.01}

S_n = 1906650

<em>The total amount received is: $1906650</em>

8 0
3 years ago
The points (4,- 4) and (4,- 6) lie on a circle with a radius of 1. Find the center point of the circle.
Katyanochek1 [597]

If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.  

Here we don't really have to do any math.  It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:

Answer: (4,-5)

6 0
3 years ago
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