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3 years ago

The 9th graders are selling tickets to raise

Mathematics

1 answer:

Sidana [21]3 years ago

3 0

Answer:

There were 30 children and 10 adults.

Step-by-step explanation:

Since they sold tickets to adults and childrens, the sum of those tickets must be equal to the total tickets that were sold, so we can mount our first equation as shown below:

adult + children = 40

Each adult ticket costs $9 and each children costs $5 and the total recieved was $240, therefore:

9*adult + 5*children = 240

We can mount the following equation system:

adult + children = 40

9*adult + 5*children = 240

We will multiply the first equation by -5 and sum both equations:

-5*adult -5*children = -200

9*adult + 5*children = 240

4*adult = 40

adult = 40 / 4

adult = 10

adult + children = 40

children = 40 - adult = 40 - 10 = 30

There were 30 children and 10 adults.

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Can someone help me with this problem asap

xenn [34]

Answer:

f(x) = $x^4 - 2x^3 + 49x^2 - 18x + 360$ is the required polynomial.

Step-by-step explanation:

Given the zeroes (roots) of the polynomial are $-3i$ and $2 + 6i$ .

We know that complex roots occur in conjugate pairs.

So, this means that $+3i$ and $2 - 6i$ would also be the roots of the polynomial.

If $\pm 3i$ are to be the roots of the polynomial then the polynomial should have been: $x^2 + 9 = 0$ .

Now, to determine the polynomial for which $2 \pm 6i$ would be the roots.

Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.

⇒ $x = 2 + 6i \hspace{35mm} x = 2 - 6i$

⇒ $x - 2 - 6i = 0 \hspace{25mm} x - 2 + 6i = 0$

The required polynomial would be the product of all the above polynomials.

$i.e., (x^2 + 9)(x - 2 + 6i)(x - 2 - 6i) = 0$

Multiply this to get the required equation.

⇒ $(x^2 + 9)(x^2 - 2x + 40)$

$\implies x^4 - 2x^3 + 40x^2 + 9x^2 - 18x + 360 = 0$

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.

3 0

3 years ago

HEYOO PEEPS Solve the inequality. Then, graph the solutions. Finally, state the two values of x that make the inequality true.

Furkat [3]

Answer:

you can just use mxthwxy or txger mxth

Step-by-step explanation:

sub a for the x

3 0

3 years ago

Read 2 more answers

The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the

slega [8]

Answer:

Step-by-step explanation:

Given:

The number of men receiving degrees (in thousands)

y = 3.8x + 441

The number of women receiving degrees (in thousands)

y = 14.4x + 311

y = 3.8x + 441

Solving the above equations simultaneously,

3.8x + 441 = 14.4x + 311

10.6x = 130

x = 12.24

Inputting the value of x into the initial equation to find y,

y = 3.8(12.26) + 441

= 487.6

Therefore, the point (12.26 , 487.6) will be the solution of our given equations.

6 0

3 years ago

Lorraine writes the equation shown.

Eva8 [605]

Answer:

xy is equal to 15 Q understood

3 0

3 years ago

Find the distance between each pair of points. (-5, -3) and (-5, -6)

Aloiza [94]

Answer:

• Formular for length:

$length = \sqrt{ {(x _{1} - x _{2}) }^{2} + {(y_{1} - y_{2})}^{2} }$

• from points given, x1 is -5, x2 is -5, y1 is -3 and y2 is -6:

• substitute:

$length = \sqrt{ { \{ - 5 - ( - 5) \}}^{2} + { \{ - 3 - ( - 6) \}}^{2} } \\ \\ length = \sqrt{ {0}^{2} + {3}^{2} } \\ \\ length = \sqrt{ {3}^{2} } \\ \\ { \boxed{ \boxed{ \: \: length = 3 \: units \: \: }}}$

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3 years ago