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lina2011 [118]
3 years ago
9

A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $3 for children. The total co

st for the movie is $57. Enter an equation to find the number of adults in the group
The equation
____+ _____ a = ________
can help find out how many adults were in the group.
Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:

There are 6 adults. <em>My mistake! I had the wrong equation. 3 + 9a = 57.</em>

Step-by-step explanation:

  • <u>There is only 1 child in the group.</u>
  • Cost for children is 3$.
  • <u>The cost for adults is 9$.</u>
  • 9 * 6 = 54
  • 3 * 1 = 3
  • 3 + 9a = 57
  • Simplify:
  • 6 Adults.
Grace [21]3 years ago
4 0

Answer:

3 + 9a = 57

(57-3) / 9

=54/9

=6

6 adults were in the group

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Solve for x and round your answer to the nearest tenth.
Yuliya22 [10]

Answer:

I believe it should be 32.9

Step-by-step explanation:

3 0
3 years ago
Factor completely 5xy3 15x3y2 − 30x2y2. 5(xy3 3x3y2 − 6x2y2) 5x(y3 3x2y2 − 6xy2) 5xy2(y 3x2 − 6x) Prime.
Mandarinka [93]

Factoring an expression involves rewriting the expression in simplier form

The factored expression of 5xy^3 + 15x^3y^2 - 30x^2y^2 is 5xy^2(y + 3x^2 - 6x)

<h3>How to factor the expression</h3>

The expression is given as:

5xy^3 + 15x^3y^2 - 30x^2y^2

Factor out 5x from the expression

5x(y^3 + 3x^2y^2 - 6xy^2)

Factor out y^2 from the expression

5xy^2(y + 3x^2 - 6x)

Hence, the factored expression of 5xy^3 + 15x^3y^2 - 30x^2y^2 is 5xy^2(y + 3x^2 - 6x)

Read more about factorized expressions at:

brainly.com/question/723406

3 0
3 years ago
The distance that an object falls from rest, when air resistance is negligible, varies directly as the square of the time that i
Amiraneli [1.4K]

Answer:

\boxed{301865\:feet}

Step-by-step explanation:

Let the distance be d and the time be t.


It was given that the distance, d, varies directly as the square of the time t, we write the proportional relation,


d\propto t^2.


\Rightarrow d=k t^2, where k is the constant of variation.


It was also given that, d=193,193, when t=44.


\Rightarrow 193193=k (44^2)


\Rightarrow 193193=1936k


\Rightarrow \frac{193193}{1936}=k


\Rightarrow k=99.79


Now the equation of variation becomes;

d=99.79t^2


When, t=55s, d=99.79(55^2)


\Rightarrow d=99.79(3025)


d=301864.75

The object will travel 301865 feet in 55 seconds.


3 0
3 years ago
What is the future value of the loan in the previous problem if the interest is compounded
GenaCL600 [577]

Answer:Your calculator should now display a screen with these variables. I have written what each

variable stands for next to the variable. You calculator likely has numbers next to some of the

variables. This is okay. We will type over them when we need to solve a specific loan problem.

N Number of payments

I% Annual interest rate

PV Loan amount (Normally

entered as a POSITIVE

number in loan problems.)

PMT Monthly payment amount

(Usually entered as a

NEGATIVE number in loan

problems.)

FV Balance when loan is paid

off. (Usually 0 in a loan

problem.)

P/Y Number of payments per

year. (Usually 12 in a loan

problem.)

C/Y How often interest is

charged. (Usually 12 in a

loan problem)

Begin / End Choose Begin if you make a

loan payment the day you

take your loan. Otherwise

choose End. We will always

leave this on END.

Example: A new car is purchased and a $25,000 loan is taken. The loan is for 6 years (72

months) and the interest rate is 4.9% compounded monthly. What is the monthly payment?

Calculator steps: Hit APPS button then select Finance then select TVM solver.

We will solve most of the problems in this chapter from this screen. We need to know what

each variable represents. We will enter values for every variable except for the one we are

solving for. We are computing a monthly payment. We will put values in for every variable,

except (PMT). PMT stands for the payment.

Enter these values on your calculator.

N (number of payments) 72

I% (annual interest rate) 4.9

PV (Loan amount, make

this amount positive.)

25000

PMT Move cursor here and hit

green alpha button then

enter after you have entered

every other value.

FV (what you owe after

make all payments)

0

P/Y (payments per year) 12

C/Y (how often interest is

paid)

12

Begin / End

(We will always leave this

on end.)

End

Once you have entered all of the amounts scroll up to PMT. Make sure your cursor is flashing

next to PMT. It doesn’t matter what value is in the PMT. Your calculator will put in the correct

payment when you tell it to compute the payment. Hit the green ALPHA button the ENTER.

Answer: $401.46

Step-by-step explanation:

3 0
4 years ago
What isthe turning point of the parabola equation isY=(x+2)(x-8)​
Law Incorporation [45]

Answer:

(3, - 25 )

Step-by-step explanation:

Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0

The the x- coordinate of the turning point is

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Given

y = (x + 2)(x - 8) ← expand factors using FOIL

  = x² - 6x - 16 ← in standard form

with a = 1 and b = - 6, thus

x = - \frac{-6}{2} = 3

Substitute x = 3 into the equation for corresponding value of y

y = (3 + 2)(3 - 8) = 5(- 5) = - 25

turning point at (3, - 25 )

7 0
3 years ago
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