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pychu [463]
4 years ago
13

3. Determine the number of solutions of each system of equations.

Mathematics
1 answer:
zubka84 [21]4 years ago
6 0
Infinitely many solutions

The system shows the same equation, so x and y could be anything
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A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the s
laiz [17]

Answer:

There will be 128 holes

Step-by-step explanation:

Simply think of each fold as doubling the number of holes.  So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes.  Cheers.

7 0
4 years ago
HELPPP frenss!!! HURRY j
Anastasy [175]

Answer:

(2, -7)

x = 2

y = -7

Step-by-step explanation:

Let's solve this system of equations by elimination.

Start by multiplying the first equation by 2:

2(4x)+2(3y)=2(-13)\\8x+6y=-26

Next, multiply the second equation by 3:

3(-5x)+3(2y)=3(-24)\\-15x+6y=-72

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46

Divide both sides by 23

x=2

Substitute 2 for "x" to solve for "y".

4x+3y=-13\\4(2)+3y=-13\\8+3y=-13

Subtract 8 from both sides:

3y=-21

Divide both sides by 3:

y=-7

Therefore the answer is:

(x, y)=(2, -7)

Additional Comments:

Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.

3 0
3 years ago
A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and
ozzi

9514 1404 393

Answer:

  17 ft, 27 ft, 20 ft

Step-by-step explanation:

Let s represent the length of the shortest side. The the longest side is (2s-7) and the third side is (s+3). The perimeter is the sum of the side lengths:

  64 = s +(2s -7) +(s +3)

  64 = 4s -4 . . . . . . . . . . . collect terms

  16 = s -1 . . . . . . . . . . divide by 4

  17 = s . . . . . . . . . add 1

  2s -7 = 2·17 -7 = 27 . . . . . the length of the longest side

  s +3 = 17 +3 = 20 . . . . . . . the length of the third side

The side lengths are 17 feet, 27 feet, and 20 feet.

8 0
3 years ago
Mrs. Gouveia paid $35 for a dress. She had a $20 coupon and paid 8% taxes on it. What was the original price of a dress?
Sergio039 [100]

Answer:

4.4

Step-by-step explanation:

add $35 and$25 you get $55 the multiply by 0.08 and you get 4.4 but i don't think it is right.

7 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPP
scoray [572]

Answer:

x= 24, y= 33°

Step-by-step explanation:

MJ is part of the diameter of the circle and there is right angle between the diameter and HK

As the diameter and HK are perpendicular, HM=MK and mHJ= mJK

So,

  • x= 24

and

  • y= 66°/2= 33°

4 0
3 years ago
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