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kupik [55]
3 years ago
11

swati won a Computer game that she played with matt. The sum of the scores was 754. The difference of there scores was 176. How

many ponts did each person score?​
Mathematics
1 answer:
klio [65]3 years ago
5 0

<u>Answer:</u>

Swati - 465 , Matt - 289

<u>Explanation:</u>

Let Swati's score be x and Matt's score be y.

Since Swati won the game her score is obviously higher.

We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.

Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289

Thus Swati scored 465 points and Matt scored 289 points.

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nexus9112 [7]

Answer:

x = 4, y = 1

(4, 1)

Step-by-step explanation:

-2x - y = -9

5x -2y = 18

-2x - y = -9

+2x     +2x

-y = 2x - 9

/-1    /-1

y = -2x + 9

5x -2y = 18

5x - 2(-2x + 9) = 18

5x + 4x - 18 = 18

9x - 18 = 18

    + 18   + 18

9x = 36

/9  /9

x = 4

Now, we solve for y:

-2(4) - y = -9

-8 - y = -9

+ 8     +8

-y = -1

/-1  /-1

y = 1

(x, y) -> (4, 1)

Hope this helps!

6 0
3 years ago
3 sin 0 = 3 cos 20<br> what is the solution set?<br>​
lutik1710 [3]

Answer:

Step-by-step explanation:

3 sinθ=3 cos 2θ

sin θ=cos 2θ

sinθ=1-2sin² θ

2sin²θ+sin θ-1=0

2sin²θ+2sinθ-sinθ-1=0

2sin θ(sin θ+1)-1(sin θ+1)=0

(sin θ+1)(2 sin θ-1)=0

sin θ=-1=-sin 90=sin (180+90)

θ=270

or sin θ=1/2=sin 30,sin (180-30)

θ=30,150

solution set is {30,150,270}

8 0
3 years ago
Find the product<br> (-3)(8)
snow_lady [41]

Answer:

-24

Step-by-step explanation:

This is a simple multiplication problem. 8 times 3 is 24, and since one of the numbers is negative, the product (answer in multiplication) will be negative.

In multiplication and division of integers (positive and negative numbers), if the numbers have the same signs, the answer is ALWAYS positive, and if the numbers have different signs, the answer is ALWAYS negative.

7 0
3 years ago
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goblinko [34]

Answer: 36b

Step-by-step explanation:

3•3=9 add the 9

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8 0
3 years ago
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Fittoniya [83]

Answer:

  y = (5/2)x + 6

Step-by-step explanation:

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Since you are given a point you want the line to go through, the point-slope form of the equation of the line is useful. That form for slope m and point (h, k) is ...

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For your slope m=5/2 and point (h, k) = (-2, 1), the equation of the line is ...

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8 0
4 years ago
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