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Kryger [21]
3 years ago
14

In a beach volleyball league, the Sea Slugs won 3 of their first 10 matches. The team's sponsor has told them they will lose all

funding if they don't win 60% of their matches. If they win 2 out of 3 matches from now on, how many more matches will they have to play in order to win 60% of the total matches?
Please make this sincere. 99 pts ~ thanks
Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0
Let the extra matches they need to play be x,   then:-

total they  will win  = 3 + 2/3 x

so
3 + 2/3 x = 3/5(x + 10)
3 + 2/3 x = 3/5 x + 6
1/15 x = 3
x = 3*15  = 45

Answer  they need to play 45 more matches.



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For a special sale, a mens tie buyer plans to promote a $39.99 tie. Consequently, the buyer purchases 450 ties and wants to achi
zlopas [31]

Answer:

The average cost of each tie is $56.350

Step-by-step explanation:

We are given that a men tie buyer plans to promote a $39.99 tie. Consequently, the buyer purchases 450 ties

So, Cost of 450 ties = 450 \times 39.99=17995.5

An order for 100 ties that cost $20.00 each

Cost of 100 ties = 100 \times 20 = 2000

Total cost price = 17995.5+2000 = 19995.5

Let the selling price of 1 tie be x

Total ties = 450+100 = 550

So, SP of 550 ties =550x

Now we are given that markup is 55%

So, Profit % = 55%

So, CP = \frac{SP \times 100}{100+P\%}

Substitute the values

19995.5 = \frac{550x \times 100}{100+55}

19995.5 = \frac{550x \times 100}{155}

19995.5 \times 155 = 55000x

\frac{19995.5 \times 155}{55000}=x

56.350=x

Hence The average cost of each tie is $56.350

7 0
3 years ago
give the most general solutions to equations. . 2sinxcosx-sin(2x)cos(2x)=0. . A. simplify the first expression using double angl
Zinaida [17]
2sinxcosx - sin(2x)cos(2x) = 0 

<span>Part I </span>
<span>The double angle identity for sine states that sin(2x) = 2sinxcosx </span>
<span>Thus we get: </span>
<span>sin(2x) - sin(2x)cos(2x) = 0 </span>

<span>Part II </span>
<span>sin(2x)(1 - cos(2x)) = 0 </span>

<span>Part III </span>
<span>Either sin(2x) = 0 or </span>
<span>1 - cos(2x) = 0 </span>
<span>=> cos(2x) = 1 </span>

<span>For sin(2x) = 0, this is true for </span>
<span>2x = n(pi) where n = 0, 1, 2, .... </span>
<span>x = n(pi/2) </span>

<span>For cos(2x) = 1, this is true for </span>
<span>2x = n(pi) where n = 0, 2, 4, .... </span>
<span>x = n(pi/2)
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
5 0
3 years ago
Circle T is shown. Line segment Q S is a diameters. Point R is opposite of point T. Lines are drawn from points Q and S to point
Juliette [100K]

The value of angle x of the given cyclic segment is; 49.5°

<h3>How to find the angle of an arc?</h3>

We are given the measure of the angle of  arc QS as (4x – 18)°

Now, to find the measure of arc QS, this angle is to be equal to 180° and as such;

Thus;

(4x – 18)° = 180°

4x - 18 = 180

4x = 180 + 18

4x = 198

x = 198/4

x = 49.5°

The angle subtended by the arc at the center of a circle with center C is the angle of the arc. It is denoted by. m AB, where A and B are the endpoints of the arc. With the help of the arc length formula, we can find the measure of arc angle.

The formula to measure the length of the arc is;

Arc Length Formula (if angle θ is in degrees); s = 2πr (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

Thus, the value of x of the given cyclic segment is; 49.5°

Read more about arc angle at; brainly.com/question/2005046

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8 0
2 years ago
Three ratios that are equivalent to 8:5
saul85 [17]

Answer:

16:10, 4:2.5, 24:15

Step-by-step explanation:

i multiplied each value by 2 and 3 and on the second one i divided by 2

brainliest pls

5 0
3 years ago
Read 2 more answers
Dividing the polynomial P(x) by x-6 yields a quotient by Q(x) and a remainder of 5.
bazaltina [42]

Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

As given in the question,

P(x) be the given polynomial

Dividing P(x) by divisor (x-6) we get,

Quotient = Q(x)

Remainder = 5

Relation between polynomial, divisor, quotient and remainder is given by :

P(x) = Q(x)(x-6) + 5   __(1)

Given Q(-6) = 3

Put x =-6 we get,

P(-6) = Q(-6)(-6-6) +5

⇒ P(-6) = 3(-12) +5

⇒ P(-6) =-36 +5

⇒ P(-6) = -31

Now x =6 in (1),

P(6) = Q(6)(6-6) +5

⇒ P(6) = Q(6)(0) +5

⇒ P(6) = 5

Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

The complete question is:

Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).

Learn more about polynomial here

brainly.com/question/11536910

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7 0
1 year ago
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