Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $35
. For one performance,
40
advance tickets and
30
same-day tickets were sold. The total amount paid for the tickets was
$1250
. What was the price of each kind of ticket?

Answers

Answer 1

Answer: $Advance=x$

$Same.day=y$

$x+y=35$ so $x=35-y$

$40x+30y=1250$

$40(35-y)+30y=1250$

$-10y=-150$

$y=15$

$x+15=35$

$x=20$

Cost for Advance ticket: $20
Cost for Same-day ticket: $15

Answer 2

Answer: Let's set up variables and equations for things that we know from the question, with a standing for advance tickets, and s standing for same day tickets.

$40a + 30s = 1250$
$a + s = 35$

Let's solve it through substitution. Isolate either variable, a or s. I'll choose to isolate a. Subtract s from both sides.

$a = -s + 35$

Plug the new knowledge into the first equation, since we now know the value of a

$40(-s +35) + 30s = 1250$ .

Distribute the 40 to the -s and 35

$-40s + 1400 + 30s = 1250$

Combine the negative and positive s

$-10s + 1400 = 1250$

Subtract 1400 from both sides.

$-10s = -150$

Divide both sides by -10

$s = 15$

The total price of an advanced ticket and same-day ticket is 35, and we know the value of a same-day ticket, so the price of an advance ticket must be 20.

The final answers are:
advanced ticket = 20
same day ticket = 15

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Select the correct product. (j + 7)(k - 5)

Answers

Foil the equation; j*k, j*-5, 7*k, 7*-5, once you foil add like terms.

jk - 5j +7k - 35 is the final answer

Answer:

jk - 5j + 7k - 35

Step-by-step explanation:

If lines l and m are parallel, then 2 and 3 are corresponding angles.
True or false

Answers

the answer is false

Answer:

A) True

Step-by-step explanation:

Hello! In this diagram, <2 and <3 ARE corresponding angles. The answer above is incorrect, and I am sorry if you put false! Hope this comes to your help / anybody in the future who has this same lesson. (:

[50pts] To find the Volume of a Cone you need to: (SELECT ALL THAT APPLY)a) Find the radius of the base
b) Find the area of the base
c)Divide by 3 at the end
d) Multiply Length time Width
e) Find the height of the cone

Answers

Answer:

find the radius of the base

find the area of the base

find the height of the cone

divide by three at the end

Step-by-step explanation:

this is from the formulae of volume of the cone

1/3πr2h

the line defined by the equation y=-(4/7)x+5 is prependicular to the line defined by which equation ? (1) y=(4/7)x+3 (2) y=-(4/7)x+3 (3) y=-(7/4)x+3 (4) (7/4)x+3

Answers

y=mx+b
m=slope

perpendicular lines have slopes that multiply to -1

the line we have is y=-4/7x+5
therefor
if the slope we are looking for is m
(-4/7)m=-1
times -7/4 both sides
m=7/4
we are looking for
y=7/4x+b

last one is answer

How many yards of a carpeting that is 26 inches wide will be needed to cover a ﬂoor thatis 12ft by 13ft?

Answers

How many yards of a carpeting that is 26 inches wide will be needed to cover a ﬂoor that
is 12ft by 13ft?

12ft = 144in
13ft = 156in

144in × 156in= 22464in²
(12ft) × (13ft) = (156ft²)

22464in² ÷ 26in = 864in needed

10 is 60% of what number please help