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Ghella [55]
3 years ago
10

Damon has 5 dimes and some nickels in his pocket worth a total of $1.20. To find the number of nickels Damon has, a student wrot

e the equation 5n+50-1.20. Find the error in the student's equation.
Mathematics
1 answer:
ki77a [65]3 years ago
4 0
In the student's equation, there are many problems. Nickels are worth 5 cents, represented by .05, not 50 dollars. Also, the coeffient 5 should not be placed there, it belongs with 5(.1), as we already know how many dimes there are. If we were able to make a new one, it would be, 5(.1)+.05n=1.20.
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7x + 6y = -1 ; -x + 2y = 3 with elimination
Harlamova29_29 [7]

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

------------------------------------------------------------

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

5 0
3 years ago
Ames wants to informally prove the converse of the Pythagorean Theorem by producing some evidence that supports it.
Mazyrski [523]

Answer:

The second and fourth one is right

Step-by-step explanation:

A²+ B² = C²

15² + 20² = 25²

225 + 400 = 625

625 = 625

16² + 30² = 34²

256 + 900 = 1156

1156 = 1156

They both check out

3 0
4 years ago
Solve for n.<br> 11(n-1)+35=3n
kotykmax [81]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Solution

= − 3

11−11+35=3 11+24=3

11+24=311n+24=3n11n+24=3n11+24−24=3−24 1

4 0
3 years ago
What's 82/48 in simplest form
yuradex [85]
You divide 82 by 48 and get 1.708 then round to the nearest hundredth and get 1.71 are you happy now exvited
5 0
3 years ago
Question 8 of 10
AleksandrR [38]
B. A worker with 40 hours of training is paid $1700 per month.
4 0
3 years ago
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