Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus
for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)

Adding both answers we get

3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)

PLUS

4 * sqrt (10)

which equals

7 * sqrt (10)

SO, the value of a is 7

Step-by-step explanation:

Answer: The answer would be 2/3 = x/9

It would take 9 minutes to read 6 pages as per the proportional relationship.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2

Now,
Put y = 6
x/6 = 3/2
x = 9 minutes

Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.

Learn more about proportionality here: https://brainly.com/question/22620356

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Answer:

Look below.

Step-by-step explanation:

Point slope fromula: y-y1=m(x-x1)

First we have to plug in our points and slope into the formula.

3 will be plugged into x1 while -1 will be plugged into y1.

Since m represents slope we will plug in -2 into m.

Answer: y+1=-2(x-3)

Step-by-step explanation:

[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]

Answer:

9*√3

Step-by-step explanation:

The exact value of Sin60 = √3/2

Sin(60)  = opposite side/ hypotenuse

hypotenuse = 18

√3/2 = x / hypotenuse

√3 / 2 = x / 18     multiply by 18

18 √3 /2 = x        divide by 2  

9 √3   = x

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

Answer:

w<10

Step-by-step explanation:

 I am really tired and I dont feel like showing all my work, unless you want me to then just ask

Answer:

3w+16=0>6+4w=0

3w=-16>4w=-6

w=-16/3>w=-6/4

w=-16/3>w=-3/2

the area of the figure is 113

Answer:

hi

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

Answer:

The law companies that value excessive ethics comply with the legal guidelines not solely in letter however go past what is stipulated 1 My proudest accomplishment is organizing

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

Answer:

69.5935735 miles or about 70 miles

Step-by-step explanation:

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.

Answer:

19.4 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

Given

Height of plane from the ground= 1200 = adjacent

Horizontal distance = 3400ft = Adjacent

Required

angle of depression theta

tan theta = opp/adj

tan theta = 1200/3400

tan theta = 12/34

tan theta = 0= arccos.3529

theta=  (0.3529)

theta = 19.4 degree

Hence the angle of depression is 19.4 degrees

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]

[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

Answer:  Option D, $2.71

Answer:

1/4

Step-by-step explanation:which is 2/8 simplified

Answer:

All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

Answer:

C

Step-by-step explanation:

it lacks the inequality signs

Answer:

16 weeks

Step-by-step explanation:

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

Answer:

i think its A

Step-by-step explanation:

But if i am incorrect i apologize

Answer:

C

Step-by-step explanation:

If x=0 is 2010, you can infer that x=6 would be 2016.

From there, you just have to find the correlating y-value (38).

Answer:

3/10

Step-by-step explanation:

3/5 x 2/4

2/4 = 1/2

3/5 x 1/2

3 x 1 = 3

5 x 2 = 10

3/5 x 2/4 = 3/10

Answer:

given radius =6

Area of triangle =1/2*base*height

=1/2*6*6=18

area of quadrant =1/4πr^2

=1/4*22/7*6*6=22/7*9=198/7=28.2

area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2