A school sells 712 tickets for a talent show. Adult tickets cost $8 each, and children's tickets cost $4 each. A total of $4,256 is collected
from ticket sales. Which system of equations can be used to determine the number of adult tickets sold, x, and the number of children's
tickets sold, y?
O A. x + y = 712
4x + 8y = 4,256
OB. x + y = 712
8x + 4y = 4,256
C. X + 8y = 712
x + 4y = 4,256
OD. 8x + y = 712
4x + y = 4,256

Answer:

12=12, so I believe your answer would be yes. I hope this helps.

Step-by-step explanation:

(4,10)

y = 3x - 2

10 = 3(4) - 2

10 = 12 - 2

+2         +2

12 = 12

9514 1404 393

Answer:

  469 square yards

Step-by-step explanation:

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(6+14+6)(21) = 273

The area of the square is ...

  A = s^2 = 14^2 = 196

The total area of the figure is the sum of the parts.

  273 +196 = 469 . . . square yards

Answer:

79 degrees

Step-by-step explanation:

180 - 73 - 28 = 79

Because a line is 180 degrees

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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Answer:

i think this

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

Answer:

The answer of this question is 265 feet.

Answer:

[tex]6 \times \frac{1}{2} - 3 \times \frac{3}{8} = 1 \times \frac{7}{8} [/tex]

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is

[tex]3\frac{1}{8}[/tex] feet

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = [tex]6\frac{1}{2}[/tex] feet.

The length cut off from the board = [tex]3\frac{3}{8}[/tex] feet.

The remaining length of the board:

= [tex]6\frac{1}{2}[/tex]  -  [tex]3\frac{3}{8}[/tex]

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

=  25/8

Write it in a mixed fraction.

= [tex]3\frac{1}{8}[/tex] feet

Thus,

The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is  [tex]3\frac{1}{8}[/tex] feet.

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Answer:

Step-by-step explanation:

Jake

4 books ⇔ 5 days

x books ⇔ 30 days

Amy

5 books ⇔ 6 days

x books ⇔ 30 days

Amy will win by 25 - 24 = 1 book

Answer:

Rounding out we have that 15 liters equals 3.96 gallons

Step-by-step explanation:

I hope this halp

Answer:

[tex]\Huge\boxed{240ft^2}[/tex]

Step-by-step explanation:

Hello There!

The figure shown is a trapezoid with the following dimensions

base 1 = 12ft

base 2 = 20 ft

height = 15 ft

Given these dimensions we need to find the area

We can do this by using the area of a trapezoid formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

Knowing the dimensions all we have to do is plug in the values

[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]

So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²

Answer:

129.8 mmHg

42 years

Step-by-step explanation:

Given the relation :

P = 0.006 y² − 0.02 y + 121

Systolic blood pressure, P

Age, y

A.)

Find P when age y = 40

P = 0.006(40)² − 0.02(40) + 121

P = 9.6 - 0.8 + 121

P = 129.8 mmHg

B)

P = 130.74 mmHg

y =?

130.74 = 0.006y² − 0.02y + 121

130.74 - 121 = 0.006y² − 0.02y

9.74 = 0.006y² − 0.02y

0.006y² − 0.02y - 9.74 = 0

Using a quadratic equation solver :

The roots are 41.99 and - 38.66

Age cannot be negative ;

Hence age = 41.99 = 42 years

Answer:

[tex] - 8x[/tex]

the answer is -8x.

Answer:

-8x is your answer

Step-by-step explanation:

-12x + 5x - x

-7x-x

-8x

Answer: (-7/8, -3 1/8)

Step-by-step explanation:

To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.

Answer:

the answer is (-0.875, -3.125)

Answer:

A. Substitute -x for x and simplify f(-x)

Step-by-step explanation:

i just did this

Answer:

I just did this

Answer:

80

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

Answer:

The average waiting time is 1/3 hours (or 20 minutes)

Step-by-step explanation:

Given

[tex]T = 2hours[/tex] --- Time

[tex]D = 80\ customers/hr[/tex] --- Arrivals

[tex]C = 60\ customers/hr[/tex] --- Capacity

Required

Determine the average waiting time

The average waiting time (AT) is calculated using the following formula:

[tex]AT = \frac{1}{2} * T * (\frac{D}{C} - 1)[/tex]

This gives:

[tex]AT = \frac{1}{2} * 2 * (\frac{80}{60} - 1)[/tex]

[tex]AT = 1*(\frac{80}{60} - 1)[/tex]

[tex]AT = (\frac{80}{60} - 1)[/tex]

Remove bracket

[tex]AT = \frac{80}{60} - 1[/tex]

Take LCM

[tex]AT = \frac{80-60}{60}[/tex]

[tex]AT = \frac{20}{60}[/tex]

[tex]AT = \frac{1}{3} hr[/tex]

or

[tex]AT = \frac{1}{3} * 60\ mins[/tex]

[tex]AT = 20\ mins[/tex]

Example 1:

The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.

Example 2:

Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.

Answer:

B

Step-by-step explanation:

Because its didn't say European

Answer:

I’m not sure but I would say around 20 bucks or 22somewhere in the 20s

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct question is attached in the image below;

From there, given that: the earnings = 60x + 50 y ------ (1)

y = -x + 175

for x = 0 ⇒ y = 175 ; Then Point A (0, 175)

y = -2x + 300

for y = 0 ⇒ x = 150 ; Then Point C (150, 0)

For Point B;

y = -x + 175    ---- (a)

y = -2x + 300 ---- (b)

Equating both (a) and (b) from above together; then:

⇒ -x + 175 = -2x + 300

⇒ x = 125

∴

From y = -x + 175

y = -125 + 175

y = 50

So point B ( 125, 50)

Now, the points are O(0, 0), A(0, 175), B(125, 50), C(150, 0)

As such, profit at these points are:

O(0, 0), Profit = 60 × 0 + 50 × 0 = 0

A(0, 175), Profit = 60 × 0 + 50 × 175 = 8750

B(125, 5), Profit = 60 × 125 + 50 × 50 = 10,000

C(150, 0), Profit = 60 × 150 + 50 × 0 = 9000

Hence, maximum profit takes place at B(125, 50) which is = $10,000

Finally, we can conclude that the shop should prepare 125 packages of assortment A and 50 packages of assortment B to maximize profit.

The maximum profit is $10,000

Answer:

0 because 0 is 0 and divided it's 0

Answer:

Properties:

Find x:

Find y:

Find z:

Answer:

x=10

y = 21°

z=8°

Step-by-step explanation:

we have

AB = AD, CB = CD,

AC perpendicular to DB, AC is angle bisector of DAB and DCB

Perimeter = 140

2(2x + 7 + 4x +3) = 140

6x + 10 = 70

6x = 60

x = 60/6=10

x=10

again

3y - 1 +28° =90

3y - 1 = 90° - 28°

3y - 1 = 62°

3y = 63°

y = 21°

again

4z+58°=90

4z = 90° - 58

4z = 32°

z=32/4

z=8°

You would need to generate a deposit slip or utilize an electronic banking system to send the funds into your account to deposit $15.

A deposit slip is a little paper form that is included by a bank customer when depositing payments into a bank account.

To write a deposit of $15, you would need to create a deposit slip or use an electronic banking system to transfer the money into your account.

To write a deposit slip, you would need to follow these steps:

Obtain a deposit slip from your bank or financial institution, or use a deposit slip provided by your bank's mobile app.

Fill in your personal and account information, including your name, account number, and any other required information.

Indicate the amount of the deposit, in this case $15, in the designated area on the deposit slip.

If you are depositing checks or other negotiable instruments, list the details of each item in the designated area on the deposit slip, including the payee, check number, and amount.

Review the deposit slip for accuracy and completeness, and make any necessary corrections.

Submit the deposit slip and any accompanying cash or checks to a bank teller or use an ATM or mobile app to complete the deposit.

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Answer:

ok but I know this is a lie I'm just willing to help