The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)

Answer:

− x+9

Step-by-step explanation:

−

7

7

+

9

{\color{#c92786}{\frac{-7x}{7}}}+9

7−7x​+9

−

+

9=−

+

9

Answer:

acute

Step-by-step explanation:

sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments

This triangle is obtuse.

Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three

If a²+b²=c² it is right angled,

If a²+b²>c² it is acute,

If a²+b²<c² it is abtuse,

Substitue the values of a, b and c,

a²+b²= 6²+11² = 157

c² = 14² = 196

Since a²+b²<c²

Hence, this triangle is obtuse.

Learn more about right triangle

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Answer:

The values of k will be:

[tex]k=-1,\:k=3[/tex]

Step-by-step explanation:

Let the expression of polynomial P be

[tex]P\left(x\right)=3x^2-4kx-4k^2[/tex]

Let the expression if the polynomial Q be

[tex]\:Q\left(x\right)=\:\left(x+2\right)\:[/tex]

Plug in Q(x) = 0

0 = x+2

x = -2

As (x+2) is a factor of 3x²-4kx-4k²

substitute x = -2 in the the polynomial

3x²-4kx-4k² = 0

[tex]3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0[/tex]

[tex]12+8k-4k^2=0[/tex]

Write in the standard form ax²+bx+c = 0

[tex]-4k^2+8k+12=0[/tex]

Factor out common term -4

[tex]-4\left(k^2-2k-3\right)=0[/tex]

Factor k²-2k-3: (k+1)(k-3)

[tex]-4\left(k+1\right)\left(k-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]k+1=0\quad \mathrm{or}\quad \:k-3=0[/tex]

solving k+1=0

k+1 = 0

k = -1

solving k-3=0

k-3=0

k = 3

Thus, the values of k will be:

[tex]k=-1,\:k=3[/tex]

Answer:

Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

Answer:  Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

HOPE I HELPED

Answer:

1. 4

2. 11

3. 18

4. 25

Step-by-step explanation:

Answer:

A = 60 degrees

C = 8 m

Step-by-step explanation:

Whenever we are faced with a geometry problem, and we have a right-angled triangle within the problem, we are to remember Pythagoras' Law first, and the fact that a right-angled triangle always has an angle that measures 90 degrees.

We will also need to know that the sum of the angles in a triangle is 180 degrees.

Therefore, angle A will be = 180 - (90 +30) = 60 degrees

From Pythagoras' Law, we can see that [tex]c= tan 30 \times 8\sqrt{3} =8[/tex]

therefore, line c = 8m

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = [tex]\frac{1}{10}[/tex]

  Not as president = [tex]1 - \frac{1}{10}[/tex] = [tex]\frac{9}{10}[/tex]

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = [tex]\frac{9}{10}*\frac{1}{9}*1[/tex]  = [tex]\frac{1}{10}[/tex]  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = [tex]\frac{9}{10}[/tex]

Probability for not chosen as secretary =  [tex]1-\frac{1}{9} = \frac{8}{9}[/tex]

Probability to be chosen as treasurer = [tex]\frac{1}{8}[/tex]

Probability to be chosen as Treasurer = [tex]\frac{9}{10}*\frac{8}{9}*\frac{1}{8}[/tex] = [tex]\frac{1}{10}[/tex]

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = [tex]\frac{1}{10} +\frac{1}{10} = \frac{1}{5}[/tex]

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].

Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

From the above question:.

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x

Cross Multiply

4x = 285 × 1

x = 285/4

x = 71 1/4 pans of lasagna

Violet could make 71 1/4 pans of lasagna

Answer:

my hand writing is sloppy hope it helps tho

Step-by-step explanation:

Answer:

The slope is 1/5

Andre is saving 4 dollars per week.

Step-by-step explanation:

Answer:

2k+4

Step-by-step explanation:

Jeremy ran

2k+4

Jeremy ran 4 more miles than twice of Kate.

Given, distance covered by Kate = k

Let distance covered by Jeremy = x

According to Question :

Distance covered by Jeremy = 4 + 2 × distance covered by Kate

Hence, x = 4 + 2k

Therefore, expression used to represent situation is :

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

[tex]\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12[/tex]

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

Answer:

623

hope this helped?

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

Answer:

I believe the answer is c hope this helps

Answer:

y=3-2x

any more help just ask :)

Answer:

The probability that the die will land on 2 or 3 Is a 1/6 chance the coin to land on tails is a 1/2 chance.

Hope this helps!

Answer:

The solution for your question is X=6

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Answer:

3

Step-by-step explanation:

math

Answer:

12 bars for $10.00

Step-by-step explanation:

Answer:

-2 + 6!

Step-by-step explanation:

Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!

I hope this helps!!

Answer: THE PINK ONE (-2+6)

Step-by-step explanation:  WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.