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2 years ago

PLEASE HELP 20 POINTS!!

Mathematics

1 answer:

AleksAgata [21]2 years ago

6 0

Answer:

????.

Step-by-step explanation:

what question do u need help on

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Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac

Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0

2 years ago

What four consecutive intergers have a sum of -34

Ivenika [448]

Answer:

-7, -8 , -9 and -10 are such four integers.

Step-by-step explanation:

Let the first integer = k

So, the next three consecutive integers are ( k+1), ((k + 1) + 1) and (((k + 1) + 1) +1)

or, k , (k +1), (k +2) and (k +3) are four consecutive integers.

Now, their sum is -34.

⇒k + (k +1) + (k +2) + (k +3) = -34

or, 4k + 6 = -34

or, 4k = - 34 - 6 = -40

⇒ k = -40/ 4 = -10

Hence, the first integer k = -10

The next integer = k + 1 = -10 + 1 = -9

Similarly next two integers are -8 and - 7.

So -7, -8 , -9 and -10 are such four integers.

7 0

2 years ago

How do I graph the linear equation of y=x+2

Korolek [52]

Replace ‘x’ with what ever number and then add 2, because if you make x a 1 then you would get a three. the equation goes from (x+2)=y to (1+2)=3 so make x whatever you want and then add 2 and you’ll get your ‘y’

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2 years ago

Need helppppppppppppp

REY [17]

I can’t see can you put it closer

4 0

2 years ago

Can 12,18,30 be a right triangle

ASHA 777 [7]

Answer:

Step-by-step explanation:

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple. The simplest Pythagorean triple is the set “3, 4, 5.” These numbers are the lengths of the sides of a “3-4-5” Pythagorean right triangle. The list below contains all of the Pythagorean triples in which no number is greater than 50.

3, 4, 5

5, 12, 13 6, 8, 10

7, 24, 25 8, 15, 17 9, 12, 15 9, 40, 41 10, 24, 26 12, 16, 20 12, 35, 37

14, 48, 50 15, 20, 25 15, 36, 39 16, 30, 34 18, 24, 30 20, 21, 29 21, 28, 35 24, 32, 40 27, 36, 45 30, 40, 50

Example Problems

Find the length of the missing side.

13 25 x7

12 x

From the list above, the missing From the list above, the missing side is “5” side is “24”

Show why the set “6,8,10” is a Pythagorean triple.

c2 = a2 + b2 102 =82 +62 100 = 64 + 36 100 = 100

Since the Pythagorean equation is satisfied, the set “6,8,10” is a Pythagorean triple.

7 0

2 years ago

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