Find the perimeter. Simplify your answer. Please put an actual answer.

The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni

raketka [301]

Answer:

Price of a senior citizen ticket is $4 and price of a student ticket is $15 .

Step-by-step explanation:

Let us assume that the price a senior citizen ticket be x .

Let us assume that the price a student citizen ticket be y .

As given

The school that Jack goes to is selling tickets to a choral performance.

On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.

Equtaions becomes

9x + 8y = 156

As given

The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.

Equations becomes

7x + 9y = 163

Multipy 9x + 8y = 156 by 9 .

81x + 72y = 1404

Multiply 7x + 9y = 163 by 8 .

56x + 72y = 1304

Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .

81x - 56x + 72y - 72y = 1404 - 1304

25x = 100

$x = \frac{100}{25}$

x = $ 4

Putting value of x in the 56x + 72y = 1304 .

56 × 4 + 72y = 1304

224 + 72y = 1304

72y = 1304 - 224

72y = 1080

$y = \frac{1080}{72}$

y = $15

Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .

5 0

3 years ago

Please help.

Debora [2.8K]

(1/3)(1/5) = 1/15

answer
3. 1/15

7 0

4 years ago

NO LINKS, WILL GIVE BRAINLIEST

KATRIN_1 [288]

For the Bots:

NO LINKS

Question:

What is the area of the

rectangle?

(rectangle is 5/7 ft wide and 3 1/2 ft long)

Enter your answer as a mixed number in simplest form in the box.

Answer:

2 1/5

Step-by-step explanation:

Because we are finding the area we are multiplying and the formal is L x W = Area so the Length is 3 1/2 and the width is 5/7 so we multiply them and we get: 2.5

3 1/2 x 5/7 = 2.5 let make it a mixed number 5/2 let simplify it now 5 divided by 2 = 2 1/5

is the answer

5 0

3 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

4 0

3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

steposvetlana [31]

An arithmetic sequence with first term a, and a common distance d si as follows:

m, m+d, m+2d, m+3d, ...

(for example: 3, 8, 13, 18 .... m=3, d=5)

let $\displaystyle{ a_n$ be the n'th term of the arithmeti sequence

m, m+d, m+2d, m+3d, ...

then

$a_1=m\\\\a_2=m+d\\\\a_3=m+2d\\\\a_4=m+3d \\\\ .\\\\.$

so it is clear that the n'th term, si given by :

$a(n)=m+(n-1)d$

compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)

it is clear that m=-3, and d=-2.2,

so the sequence

m, m+d, m+2d, m+3d, ...

becomes:

-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....

so

-3, -5.2, -7.4, -9.6

the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:

A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8

remark, we could have use the formula directly and solve for A(1), A(4) and A(10),

but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.

Answer:

1st term=-3

2nd term=-9.6

10th term = -22.8

5 0

3 years ago