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Yuki888 [10]
3 years ago
12

Members of a basketball team raised $891.50 to go to a tournament. They rented a

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

a) 891.5 = 475 + 29.75p  b) p = 14

Step-by-step explanation:

The equation will be the total amount of money they raised equals the cost of the bus plus the cost of the meal per player. This will set up the equation to find out how many players can go if they use all of their money.

p represents the number of players on the team

891.5 = 475 + 29.75p

Subtract the cost of the bus from both sides

416.5 = 29.75p

Now divide by the cost of the meals

14 = p

They can bring 14 players to the tournament.

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A triangle with sides of lengths 9, 22, and 24 is a right triangle
Leona [35]

Answer:

The statement is false

Step-by-step explanation:

we know that

if the triangle is a right triangle

then

the triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=24\ units

a=9\ units

b=22\ units

substitute

24^{2}=9^{2}+22^{2}

576=81+484

576 \neq 565

therefore

Is not a right triangle

The statement is false

4 0
3 years ago
I need the answer for this question
joja [24]
3x+3=192 is the equation
To solve the equation, you would subtract 3 from both sides, 3-3 cancels out, so 192-3= 189. Then, you are left with 3x=189 so you divide both sides by 3, 3x divided by 3 cancels out, so you do 189 divided by 3 which is 63.
Answer to equation: x=63
Equation: 3x+3=192
8 0
3 years ago
Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?
PIT_PIT [208]
A second degree polynomial function has the general form:

                  \displaystyle{f(x)=ax^2+bx+c, where a\neq0.

The leading coefficient is a, so we have a=-1.

5 is a double root means that :

i) f(5)=0,
ii) the discriminant D is 0, where D=b^2-4ac.

Substituting x=5, we have

                                        f(5)=a(5)^2+b(5)+c,

and since f(5)=0, and a is -1 we have:

                                          0=-25+5b+c
thus c=25-5b.


By ii) \displaystyle{b^2-4ac=0.

Substituting a with -1 and c with 25-5b we have:
                                     
          \displaystyle{b^2-4ac=0
          \displaystyle{b^2-4(-1)(25-5b)=0
          \displaystyle{b^2+4(25-5b)=0
          \displaystyle{b^2-20b+100=0
          \displaystyle{(b-10)^2=0
          \displaystyle{b=10 


Finally we find c: c=25-5b=25-50=-25

Thus the function is        \displaystyle{f(x)=-x^2+10x-25


Remark: It is also possible to solve the problem by considering the form

f(x)=-1(x-5)^2 directly.

In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is f(x)=a(x-r)^2
5 0
3 years ago
Read 2 more answers
The three triangles in the following diagram are similar. True False
pishuonlain [190]
Three Triangles in the following diagram are similar, And the best answer is True.
6 0
3 years ago
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If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in feet, of the park?
jarptica [38.1K]

This problem can be looked at like a right triangle, where the hypotenuse is 750 and one leg is 450.  Thus 450^2 + the length of the park^2 = 750 ^2.

202500 + the length of the park^2 = 562500

the length of the park^2 = 360000

the length of the park = 600

Hope it helps <3

8 0
3 years ago
Read 2 more answers
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