MATHEMATICS HIGH SCHOOL

A movie theater charges $10 per ticket and seven dollars for each bucket of popcorn write the equation in slope intercept form that would represent the cost of why of the one person going to the movie and buying X buckets of popcorn

Answers

Answer 1

Answer:

Answer:

y = 7x +10

Step-by-step explanation:

The cost for the person will be 7x for the popcorn and 10 for the ticket, for a total of ...

y = 7x +10

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Solve the equation 4p+9+(-7p)+2=

What is the nth term of 60,100,140 simplified

Answers

Answer:

$a_(n)$ = 40n + 20

Step-by-step explanation:

there is a common difference between the first 3 terms in the sequence, that is

100 - 60 = 140 - 100 = 40

This indicates the sequence is arithmetic with nth term

$a_(n)$ = a₁ + d(n - 1)

a₁ is the first term , d the common difference, n the term number

here a₁ = 60 and d = 40 , then

$a_(n)$ = 60 + 40(n - 1) = 60 + 40n - 40 = 40n + 20

You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations:

b. how long does it take you to jog around the park? it takes you minutes to jog around the park.

Answers

Answer:

Part a) The system of equations is

$2x+y=10$

$2x+3y=22$

Part b) The number of minutes it takes you to jog around the park is $6\ min$

Step-by-step explanation:

Part a) Write a system of linear equations

Let

x-----> the number of minutes it takes you to jog around your block

y---> the number of minutes it takes you to jog around the park

we know that

$2x+y=10$ ----> equation A

$2x+3y=22$ ----> equation B

Part b) How long does it take you to jog around the park?

Multiply equation A by -1 both sides

$-1(*2x+y)=-10$ ------> $-2x-y=-10$ ----> equation C

Adds equation B and equation C

$2x+3y=22\n-2x-y=-10\n-------\n 3y-y=22-10\n2y=12\ny=6\ minutes$

Find the value of x

$2x+(6)=10$

$2x=10-6$

$x=4/2=2\ minutes$

Final answer:

Write the information as a system of linear equations: 2x + y = 10 and 2x + 3y = 22. Solving these equations, we find that it takes 6 minutes to jog around the park.

Explanation:

Given the information provided in the question, we first need to represent the given information through a system of linear equations. Following the instructions in the question, let x represent the time in minutes to jog around the block, and y represent the time in minutes to jog around the park.

From the given problem, we know:

2x + y = 10
2x + 3y = 22

To find how long it takes you to jog around the park (the value of y), we can use the method of substitution or elimination. In this case, let's use the method of substitution: we can start by solving the first equation for 2x, giving us 2x = 10 - y.

Substituting that into the second equation gives us 10 - y + 3y = 22, simplifying which leads to 2y = 12, and further simplification yields y = 6. Therefore, it takes you 6 minutes to jog around the park.

Learn more about system of linear equations here:

brainly.com/question/20379472

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PLZZZ HELP WILL GIVE 10 POINTSWhat is the distance between point A and point B? A number line ranging from -8 to 8 with point A at coordinate -6 and point B at coordinate 7 Enter your answer in the box. The distance between points A and B on the number line is ( ) units

Answers

Answer:

AB = 13 units

Step-by-step explanation:

From the figure attached,

A number line has been given ranging -8 to 8.

Two points A and B are at -6 and 7 respectively.

Distance between these points A and B = |B - A|

AB = |7 - (-6)|

AB = 13

Therefore, distance AB = 13 units will be the answer.

The following function represents the value of a house, in dollars, after x years:f(x) = 242,000(1.04)x

What does 242,000 represent?

The present value of the house
The value of the house after x years
The increase in the value of the house each year
The increase in the value of the house after x years

Answers

Answer: The present value of the house

Step-by-step explanation:

Given: The following function represents the value of a house, in dollars, after x years:

$f(x) = 242,000(1.04)^x$

When we substitute x=0 in the above equation, we get

$f(0)=242,000(1.04)^0=242,000(1)=242,000$

Since at x=0, the function represent the initial value of a function.

Therefore, 242,000 represents the value of house in 0 years i.e. it represents the present value of the house.

A. The present value of the house

1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
That means we can swap numbers in multiplication.(The answer is the same)

Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!

Hope I helped!

$Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)$

Which is the solution to the following equation?
4x^2-12x+9=5

Answers

we assume that
if xy=0
x and y=0

first make it equal to zero

minus 5 on both sides
4x^2-12x+4=0
undistribute 4 for ease
4(x^2-3x+1)=0
since 4 does not equal zero, and the only thing that will get it to zero is 0,
x^2-3x+1=0
use quadratic equation

if you hahve
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$
1x^2-3x+1=0
a=1
b=-3
c=1

x= $\frac{-(-3)+/- \sqrt{(-3)^(2)-4(1)(1)} }{2(1)}$
x= $(3+/- √(9-4) )/(2)$
x= $(3+/- √(5) )/(2)$
x= $(3+ √(5) )/(2)$ or $(3- √(5) )/(2)$

aprox
x=2.61803 or 0.381966

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