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lbvjy [14]
3 years ago
7

What is the values of x and y? (5x) + (9y)

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

x=5 y=9

Step-by-step explanation:

hope this helps :) have a nice day :) :) :)

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In a basketball game, Team A defeated Team B with a score of 97 to 63. Team A won by scoring a combination of two-point baskets,
-BARSIC- [3]

Answer:

14 free throw baskets , 25 two point baskets and 11 three point baskets

Step-by-step explanation:

Let n₁ represent the number of free-throw baskets, n₂ represent the number of two point baskets and n₃ represent the number of three point baskets.

Now, from the question, the number of two point baskets, n₂ is greater than the free throw baskets by 11. This is written as n₂ = n₁ + 11. Also, the number of three point baskets n₃ is three less than the number of free point baskets. This is written as n₃ = n₂ - 3. Since our total number of points equals 97, it follows that, sum of number of points multiplied by each point equals 97. So, ∑(number of points × each point) = 97. Thus,

n₁ + 2n₂ + 3n₃ = 97. Substituting n₂ and n₃ from above, we have n₁ +2(n₁ + 11) + 3(n₁ - 3) = 97.

Expanding the brackets, we have, n₁ + 2n₁ + 22 + 3n₁ - 9 = 97

collecting like terms, we have 6n₁ + 13 = 97

6n₁ = 97 - 13

6n₁ = 84

dividing through by n₁ we have, n₁ = 84/6 =14

so n₁ our free throw baskets equals 14. Substituting this into n₂ our number of two point baskets equals n₂ = n₁ + 11 = 14 + 11 = 25. Our number of three point baskets n₃ = n₁ - 3. So, n₃ = 14 -3 = 11.

7 0
2 years ago
Read 2 more answers
PLEASE HELP WITH #14 AND #7 PLEASE A.S.A.P !!!
kodGreya [7K]

Answer:

7.) 16.7

Step-by-step explanation:

7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle

Using the pythagrorem theorem a² + b² = c²

4² + b² = 5²

b² = 5² - 4²

b² = 25 - 16

b² = 9

√b² =√9

b = 3

next you do the same thing to find the missing segment of the longest side

3² + b² = 13²

b² = 169 - 9

b² = 160

b = √160 or  ≈ 12.7

12.7 + 4 = 16.7

so 16.7 is the length of that side


3 0
3 years ago
Ao se olhar para a história da Álgebra, desde os primórdios quando o objeto de estudo eram equações algébricas específicas até o
professor190 [17]

Answer:

44

Step-by-step explanation:

Trust

8 0
3 years ago
Is -27 divided by (-3) positive or negative & how
zloy xaker [14]

Answer:

9

Step-by-step explanation:

-27/-3

27/3 is 9

each of them have a negative so it stays positive

9

7 0
3 years ago
Read 2 more answers
The system of equations can be solved using linear combination to eliminate one of the variables. 2x − y = −4→10x − 5y = −20 3x
tester [92]

Answer:

Option D is correct.

13x = 39

Step-by-step explanation:

The system of equation is given:

2x-y = -4             ....[1]

3x+5y = 59         .....[2]

Multiply equation [1] by 5 to both sides we have;

10x-5y = -20              .....[3]

Using elimination method:

Add [2] and [3] equations to eliminate y and solve for x, we have;

13x = 39

Divide both sides by 13 we get;

x = 3

Substitute x in [1] we have;

2(3)-y = -4

6-y = -4

Subtract 6 from both sides we have;

-y = -10

Divide both sides by -1 we have;

y = 10

⇒Solution: (3, 10)

Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,

13x = 39

6 0
3 years ago
Read 2 more answers
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