The equation of the graphed line is 2x – 3y = 12.
What is the x-intercept of the graph?
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Answer:

Part A)

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Flight X made $1,350 and Flight Y made $26,250.

Step-by-step explanation:

Let the amount of tickets sold by Flight X be represented by x and the amount of tickets sold by Flight Y be represented by y.

Part A)

The airline sold 120 tickets in total. Hence:

[tex]x+y=120[/tex]

Each x ticket costs $90 and each y ticket costs 250. The total income was $27,600. Thus:

[tex]90x+250y=27600[/tex]

Our system of equations is:

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Solve the system of equations. We can use substitution. From the first equation, subtract y from both sides:

[tex]x=120-y[/tex]

In the second equation, we can divide everything by 10 and substitute in x:

[tex]9(120-y)+25y=2760[/tex]

Simplify:

[tex]16y+1080=2760[/tex]

So:

[tex]y=105\text{ tickets}[/tex]

Using the equation above:

[tex]x=120-(105)=15\text{ tickets}[/tex]

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Since each ticket of Flight X sold for $90 and Flight X sold 15 tickets, Flight X made $1,350.

Then it follows that Flight Y made $26,250.

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*2^2*4

=3.14*4*4

=50.24 m^3

Answer:

(36,-30)

Step-by-step explanation:

y = -30

Solve for x

y = -x+6

-30 = -x+6

Subtract 6 from each side

-36 = -x

Multiply each side by -1

x = 36

Answer:

A. (45, –30)

Step-by-step explanation:

trust me<33

Answer:

um this was on the 7th grade mcas hahahhhhah

Step-by-step explanation:

I WAS STUCK ON THIS TO BAE

Answer:

The answer is below

Step-by-step explanation:

Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.

Given the profit function:

P=-2b² + 14b - 20

At breakeven P = 0, hence:

0 = -2b² + 14b - 20

-2b² + 14b - 20 = 0

-2b² + 10b + 4b - 20 = 0

-2b (b - 5) + 4(b - 5) = 0

(b - 5)(-2b + 4) = 0

b - 5 = 0; or -2b + 4 = 0

b = 5; or b = 2

Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000

the most important part of the quadratic function is its vertex. ... Graph the function by finding the vertex and two points on each side of the ... A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 - 16t2 + 32t.

Answer:

1 ; 3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

2/2 I'm not sure for that but its base on answer key

Answer:

[tex]66 \frac{2}{3} \%[/tex]

Step-by-step explanation:

[tex]scale \: factor = \frac{scaled \: drawing}{original \: drawing} [/tex]

[tex]∴scale \: factor = \frac{6}{9} [/tex]

Simplify the fraction by dividing both the numerator and denominator by 3:

[tex]scale \: factor = \frac{2}{3} [/tex]

As a percentage, scale factor

[tex] = \frac{2}{3} \times 100\%[/tex]

[tex] = 66 \frac{2}{3} \%[/tex]

Answer:

its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is

Step-by-step explanation:

Step-by-step explanation:

i cant help

Answer:

each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts

Answer:

4.5

Step-by-step explanation:

AB is similar to side BC, so to make a ratio, it would be 3/4=x/6. to solve, you cross multiply

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Smaller Canister:

Height, h = 12cm

Diameter = 9cm

Radius, r = 4.5 cm

[tex]Volume = \pi r^2h\\[/tex]

           [tex]=\pi \times 4.5^2 \times 12\\\\=243 \pi \ cm^3[/tex]

[tex]Surface \ area = 2 \pi r(r + h)\\[/tex]

                    [tex]=2 \times \pi \times 4.5 ( 4.5 + 12)\\\\= \pi \times 9(16.5)\\\\=148.5 \ cm^2[/tex]

Larger Canister:

Measures double the smaller canister, that is

height, H = 24 cm

Diameter = 18cm

Radius, R = 9cm

[tex]Volume = \pi R^2 H\\[/tex]

           [tex]= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi[/tex]

[tex]Surface \ area = 2 \pi R(R+ H)[/tex]

                    [tex]= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2[/tex]

Comparing results :

[tex]Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}[/tex]

Therefore, volume of larger canister is 8 times the volume of smaller canister.

[tex]Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\[/tex]

                                                   [tex]=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}[/tex]

Therefore, surface area of larger canister is 4 times the surface area of smaller canister.

Answer:

see below

Step-by-step explanation:

80 =     4*    20

     2*2      2 * 10

                       2 *5

We are breaking the numbers into primes

2*2*2*2*5

Answer:

4

Step-by-step explanation:

44 rounded to nearest tenth is 40

:) ur welcome

Answer:

It's 4

Step-by-step explanation:

44 rounded to the nearest tenth is 40

Answer:

$467.8125

Step-by-step explanation:

Percentage increase = 25% × 374.25

New value = 374.25 + Percentage increase

New value =

374.25 + Percentage increase =

374.25 + (25% × 374.25) =

374.25 + 25% × 374.25 =

(1 + 25%) × 374.25 =

(100% + 25%) × 374.25 =

125% × 374.25 =

125 ÷ 100 × 374.25 =

125 × 374.25 ÷ 100 =

46,781.25 ÷ 100 =

467.8125 ≈

467.81

Answer:

Correct answer is B) No, height is not a function of weight because 2 students weigh 165 pounds but have different heights.

Answer:

[tex]6[/tex]

The answer is C:6

The answer should be diameter.

Answer:

diameter

Step-by-step explanation:

Answer:

x = 61.6 degree

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 4.8 / 5.4

sin x = 0.88

x = [tex]sin^{-1} (0.88)[/tex]

x = 61.64

x = 61.6 degree

Answer:

8.06

Step-by-step explanation:

Answer:

b= 10

Step-by-step explanation:

h=2b, (bh/2)=100, bh=100, b^2=100, b=10

Answer:

y = 20 degree

Step-by-step explanation:

angle EOA = 5y (being vertically opposite angles)

angle COE + angle EOA + angle AOD = 180 degree (being linear pair)

2y + 5y + 2y = 180 degree

9y = 180

y = 180/9

y = 20 degree

Answer:

y = 20

Step-by-step explanation:

Angles COE and DOF are vertical angles and are congruent.

m<COE = m<DOF = 2y

<BOA is a straight angle and measures 180 degrees.

m<BOF + m<DOF + m<DOA = 180

5y + 2y + 2y = 180

9y = 180

y = 20

Answer: 9.31*10^-3

Step-by-step explanation:

The decimal number 0.00931 written in standard form is 9.31•10^-3

Estimated is 9•10^-3

Heart it if it helps!

Answer:

[tex] = 3x {}^{2} + x - 3[/tex]

Answer:

B) 6

Step-by-step explanation:

We need to figure out the value of k in x⁴+kx²+36 -> (x²+a)(x²+b) where a+b=k and ab=36 as a=b. Therefore, k needs to be 6 because 6*6=36 and 6+6=12 given a=b.