The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 11 student tickets for a total of $206. The school took in $232 on the second day by selling 9 adult tickets and 13 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answer: $6828

Step-by-step explanation:

James annual income = $85350

Income tax = 8%

The amount of income tax in dollars and cents that James has to pay will be calculated by multiplying the income tax by his annual income. This will be:

= 8% × $85350

= 8/100 × $85350

= 0.08 × $85350

= $6828

The slope of a line is [tex]\frac{dy}{dx}[/tex]

where [tex]d[/tex] is the difference and [tex]y[/tex] and [tex]x[/tex] are the values.

In this case, the difference in [tex]y[/tex] is 10 and the difference in [tex]x[/tex] is 0

And division where the denominator being 0 leads to the answer being Undefined or Infinity as the line is directly on the [tex]y[/tex] axis.

Answer:

42

Step-by-step explanation:

You add 21 twice because 3 is half of 6

Answer:

A - 42

Step-by-step explanation:

21 x 2 = 42

3 x 2 = 6

Answer: -3 1/2 and -6

Answer:

The total budget is $1260

Step-by-step explanation:

Given

[tex]Props = \$693[/tex]

[tex]Costumes = 45\%[/tex]

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

[tex]\%Props + \%Costumes = 100\%[/tex]

[tex]\%Props + 45\%= 100\%[/tex]

[tex]\%Props= 100\% -45\%[/tex]

[tex]\%Props= 55\%[/tex]

In other words, 55% was spent on Props

Let the total budget be x, we have:

[tex]55\% * x = \$693[/tex]

Make x the subject

[tex]x = \$693/55\%[/tex]

[tex]x = \$1260[/tex]

Hence, the total budget is $1260

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

Answer:

14

Step-by-step explanation:

14

Answer:

Step-by-step explanation:

Step-by-step explanation:

The slope would be 4 (because in y=mx+b form, m = slope)

The y-intercept would be zero (0,0) since b = y-intercept, and there is no b in this equation.

From (0,0) you would rise four to get (0,4) and go over to the right one (1,4)

To make another point, you could go down 4 from (0,0) to get (0,-4) and to the left one to get (-1,-4)

Hope this helps.

Given:

A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

[tex]y=3x[/tex]

[tex]f(x)=3x[/tex]

Equation of after transformation is

[tex]y=3(x+8)[/tex]

[tex]g(x)=3(x+8)[/tex]

Now,

[tex]g(x)=f(x+8)[/tex]      ...(i)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

[tex]a=8\text{ and }b=0[/tex]

Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.

Answer:

49

Step-by-step

step 1 subtract 10 -3

step 2 multiply 7 x 7

that's your answer

Answer:

49

Step-by-step explanation:

Step 1:

a = 3; b = 2; c = 10         Given

Step 2:

[tex](c-a)^{b}[/tex]         Equation

Step 3:

[tex]( 10 - 3)^{2}[/tex]        Input values

Step 4:

( 7 ) ²           Parentheses

Answer:

49

Hope This Helps :)

Answer:

10.65 inches

Step-by-step explanation:

You simply add Saturday's and Sunday's total together

6.14+4.71=10.85

In other words, everything but choice B

==========================================================

Explanation:

You could use polynomial long division or synthetic division to check each answer. The shorter route of the two options is synthetic division

There's a much faster way that doesn't involve complicated division. Recall that if (x-k) is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

------------------------------------------------

Here's a fairly short proof:

Consider a polynomial q(x) such that

p(x) = (x-k)q(x)

which shows that (x-k) is a factor of p(x). We don't need to worry about what q(x) actually is since it will go away effectively.

If we plug x = k into the p(x) function, we get

p(x) = (x-k)q(x)

p(k) = (k-k)q(k)

p(k) = 0*q(k)

p(k) = 0

------------------------------------------------

How is this useful? Well we can note that the factor (x-3) is in the form (x-k) where k = 3.

So the idea is to plug x = 3 into each of the four functions and see which result in 0. If we get 0 as an output, then we have a factor. Otherwise, it's not a factor.

-------------------------------------------------

Plug x = 3 into the first function

A(x) = x^3 - 2x^2 - 4x + 3

A(3) = 3^3 - 2(3)^2 - 4(3) + 3

A(3) = 0

This shows (x-3) is a factor of the function A(x)

------------------------------------------------

Repeat for the second function

B(x) = x^3 + 3x^2 - 2x - 6

B(3) = 3^3 + 3(3)^2 - 2(3) - 6

B(3) = 42

We don't get an output of 0, so (x-3) cannot be a factor of B(x)

-----------------------------------------------

Now onto the third function

C(x) = x^4 - 2x^3 - 27

C(3) = 3^4 - 2(3)^3 - 27

C(3) = 0

So (x-3) is a factor of C(x)

----------------------------------------------

Finally the last function

D(x) = x^4 - 20x - 21

D(3) = 3^4 - 20(3) - 21

D(3) = 0

Therefore (x-3) is a factor of D(x) as well.

The remainder theorem will be used to identify the polynomial that has a remainder of zero when divided by (x - 3)

The polynomials that have 0 as a factor are;

Reason:

According to the remainder theorem, we have;

The remainder following the division of a polynomial, by (x - a) is P(a)

Therefore, (x - 3) is a factor of the polynomial P(x) where P(3) = 0

For option (A), we have; A(x) = x³ - 2·x² - 4·x + 3

The remainder when (x³ - 2·x² - 4·x + 3) is divided by (x - 3) is therefore;

A(3) = 3³ - 2 × 2² - 4 × 2 + 3 = 14

Therefore, (x - 3) is not a factor of A(x) = x³ - 2·x² - 4·x + 3

For option (B), we have;

B(x) = x³ + 3·x² - 2·x - 6

The remainder when B(x) is divided by (x - 3) is therefore;

B(3) = 3³ + 3×3² - 2×3 - 6 42

Therefore, (x - 3) is not a factor of B(x) = x³ + 3·x² - 2·x - 6

For option (C), we have;

C(x) = x⁴ - 2·x³ - 27

The remainder when C(x) is divided by (x - 3) is therefore;

C(3) = 3⁴ - 2×3³ - 27 = 0

Therefore;

For option (D), we have;

D(x) = x⁴ - 20·x - 21

The remainder when D(x) is divided by (x - 3) is given as follows;

D(3) = 3⁴ - 20×3 - 21 = 0

Therefore;

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]b. {b}^{m} = {b}^{1 + m} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

1/3 or 0.3

Step-by-step explanation:

5/8 x 4/5 x 2/3 =

1/3 or 0.3

Answer:

1/3 in^3

Step-by-step explanation:

In order to find the volume, you must multiply the length, by the width, by the height. This would mean you need to do 2/3x5/8x4/5=40/120

40/120 simplified will give you 1/3

Answer:

I suppose that each number is repeated 3 times, the actual question is:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Now, remember the relation:

Distance = Speed*Time

Let's define:

D1 = distance between Courtney's house and the beach.

D2 = distance between the beach and the park.

T1 = time that it took the first walk.

T2 = time that it took the second walk.

We know that the total distance Courtney walked is 8km, then:

D1 + D2 = 8km.

And we also know that the entire walk took 2 hours, then:

T1 + T2 = 2h.

We also have the equations:

D1 = 4km/h*T1

D2 = 5km/h*T2.

Then we have a system of equations:

D1 + D2 = 8km

T1 + T2 = 2h

D1 = 4km/h*T1

D2 = 5km/h*T2.

To solve this, first let's replace equations 3 and 4 in the first equation:

4km/h*T1 + 5km/h*T2 = 8km

Now we have only two equations left:

4km/h*T1 + 5km/h*T2 = 8km

T1 + T2 = 2h

Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:

T1 = 2h - T2.

Replacing this in the first equation gives:

4km/h*(2h - T2) + 5km/h*T2 = 8km

Now let's solve this for T2.

8km - 4km/h*T2 + 5km/h*T2 =  8km

8km + 1km/h*T2 = 8km

1km/h*T2 = 0

from this, we have T2 = 0

This would mean that T1 = 2h.

Then:

D1 = 4km/h*2h = 8km.

T2 = 0

D2 = 5km/h*0 = 0.

This happens because the numbers in the problem were not well thought.

You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.

Answer:

6 I think.

Step-by-step explanation:

6 I think. think

Answer:

c

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Answer:

No its about how many you get PER DAY

Step-by-step explanation:

Answer:

Step-by-step explanation:

The explicit formula for a GP is expressed as

Tn = ar^{n-1}

a is the first term

n is the number of terms

r is the common ratio

a) If a3 = 36 and r = 6

a3 = ar^3-1

a3 = ar^2 = 36

ar^2 = 36

a(6)^2 = 36

36a = 36

a = 1

Get the nth term

Tn = 1(6)^{n-1}

Tn = 6^{n-1}

b)  If a6 = 64 and r = 2

a6 = ar^6-1

a6 = ar^5 = 64

ar^5 = 64

a(2)^2 = 64

4a = 64

a = 16

Get the nth term

Tn = 16(2)^{n-1}

Tn = 16*(2^n/2)

Tn = 8(2^n)

Answer:

it's a

Step-by-step explanation:

its a on edge

Answer: A

Step-by-step explanation:

Answer: linear pair

Step-by-step explanation:

Because ce is shown to be bisected by line n, then the two expressions are added and will equal 180°. This is what is called a linear pair.

Answer:

270

Step-by-step explanation:

Answer: 105 degrees

Step-by-step explanation:

Both angles equal 180 so if we subtract 75 from 180 we get 105.

Answer:

105º

Step-by-step explanation:

<ONC and <BNJ are a linear pair, the angles are supplementary (eqauls 180º).

Answer:

Step-by-step explanation:

The  statement "The expression contains 2 terms." is false because the expression contains 3 terms:  7f, 15 and -2g

The given statement "expression contains 2 terms" is false, Because it contains three terms of which two are the variable and one is a constant.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

The expression is,

7f + 15 - 2g

The given expression contains 2 terms.

A term is a single expression, a single integer (positive or negative), and a  single variable (a letter), or a number of variables that have been multiplied but never added or canceled are all acceptable.

The given statement is false because it reported only two terms but there are more than two terms.

Thus, the given statement "expression contains 2 terms" is false Because it contains three terms of which two are the variable and one is a constant.

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Answer:

first pic, 2.5 pounds of peanuts cost $1, 17.5 pounds of peanuts cost $7, and the point (4,10) is also on the line. second pic, G.

Step-by-step explanation:

2.5 goes into 17.5, 7 times. then $7/7 means $1 for 2.5 pounds. that is true. second one they state the graph. the last one, if you calculate knowing 2.5 pounds is $1, then it is correct. for the second pic, i dont know but ill give you this im really sorry. draw a triangle from the two points getting a slope of 3. but this is negative so it's -3. the slope for the equation if it's perpendicular is 1/3 tho. wait i got it i think it's G since it's going to be perpendicular so if you draw it on, it would be positive.