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postnew [5]
3 years ago
14

At the movie theatre, child admission is $6.10 and adult admission is $9.90. On Friday, four times as many adult tickets as chil

d tickets were sold, for a total of $1188.20. How many child tickets were sold?
Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

26 child tickets

Step-by-step explanation:

4c = a to make the adult tickets equal to the child tickets multiply the child tickets by 4.  then use substitution.

6.10c + 9.90(4c) = 1188.20

6.10c +39.6c = 1188.20

45.7c = 1188.20

c = 26

You might be interested in
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial inve
pentagon [3]

Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

I= A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

A=10000(1+0.04)^{10}

   =$14802.44

  ≈$14802

Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

A=10000(1+0.07)^{5}

   =$14025.51

  ≈$14026

From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0
3 years ago
Write the equation of each line using the given information.
Leni [432]

a) x – 2y + 6 = 0 b) x + y = 1 c) y = 1 d) y = -3x + 8

<h3><u>Solution:</u></h3>

<em><u>a. The points (-4,1) and (2,4) both lie on the line</u></em>

The general line equation on which (a, b) and (c, d) lies is:

y-\mathrm{b}=\frac{d-b}{c-a}(x - a)

Here the given points are (a, b) = (-4, 1) and (c, d) = (2, 4)

Thus the required equation is:

y-1=\frac{4-1}{2-(-4)}(x-(-4))

On solving we get,

\begin{array}{l}{\rightarrow y-1=\frac{3}{2+4}(x+4)} \\\\ {\rightarrow y-1=\frac{3}{6}(x+4)} \\\\ {\rightarrow 2(y-1)=1(x+4)} \\\\ {\rightarrow 2 y-2=x+4} \\\\ {\rightarrow x-2 y+6=0}\end{array}

<em><u>b.) m= -1 and the point (2, -1) lies on the line</u></em>

The equation of line in point slope form is y – b = m(x – a)  

where m is slope and (a, b) is a point on it

Here m = -1 and (a, b) = (2, -1)

Thus the required equation is:

y – (-1) = -1(x - 2)  

y + 1 = -x + 2  

y = -x + 2 -1  

y = -x + 1

<em><u>c. )It has the same slope as y = 5 and passes through (1, 1)</u></em>

our line has same slope with y = 5, then our equation would be y = k  and it passes through (x, y) = (1, 1) so, then by substitution

1 = k

k =1  

Then our equation will be y = k

y = 1

<em><u> d. ) m= -3 and it has a y-intercept of (0, 8)</u></em>

line equation in slope intercept form is y = mx + b where m is slope and b is y – intercept.

Then, our equation will be y = -3x + 8

We took y- intercept = 8 as it is the value of y when x = 0

6 0
3 years ago
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum are
kifflom [539]
Garden
max area is if the sides are as equal as possible
so he should try to make a square (ideal is a circle, but barn walls are normally straight)
squaer perimiter=4 times legnth of 1 side
perimiter=amount of fencing=80
80=4s
divide 4
20=s
one sides=20

area=legnth times width
in squaer, legnth=width

20=legnth
20=width
area=20 times 20=400

dimetions are 20ft by 20ft to give 400ft^2
(fun fact, if it were a circle, the area would be about 509.5ft^2)


answer is 20ft by 20ft and area=400ft^2
7 0
3 years ago
There are 12 small gift bags each back and hold one toy and some stickers there are 36 stickers if an equal number of stickers i
yaroslaw [1]

Answer:

3 stickers

Step-by-step explanation:

The one toy in this problem is irrelevant. To solve this problem you need to divide 36 stickers by 12 bags to see how many stickers will fit in each bag equally.

36 / 12 = 3

This means that 3 stickers will be in each bag.

4 0
3 years ago
Explain the difference between an arithmetic and geometric sequence
Feliz [49]

Answer:

Arithmetic sequences have a constant difference between consecutive terms. On the other hand, geometric sequences have a constant raito. In an arithmetic sequence, the terms can be determined by adding or subtracting a number to the preceding term, while for geometric sequences, each term is determined by multiplying or dividing a number to the preceding term.

Step-by-step explanation:

Explanation above.

hope this helps :)

3 0
3 years ago
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