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Elza [17]
3 years ago
12

In an item on sale cost 35% of the original price original price was $41

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer:

$26.65

Step-by-step explanation:

41 decrease 35% =

41 × (1 - 35%) = 41 × (1 - 0.35) = 26.65

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Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
AURORKA [14]

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!

4 0
2 years ago
How I solve 11−12y=3+6x for y.
Ganezh [65]

Answer: Y = -x/2+2/3

3 0
3 years ago
The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
  • 2a -b = c -2
  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0
3 years ago
Mandy has 8 ounces of fish food to feed her fish . she feeds the fish 0.4 of fish food at each feeding how many times can Mandy
sergejj [24]
20 times

This is just simple division. Do 8 divided by 0.4 and you should get 20

Hope this helps!
-Coconut;)
8 0
2 years ago
Write<br> in simplest radical form.
harina [27]

Answer:√-40=2√-10

Step-by-step explanation:Finding the factors of 40,we have ,√4×√-10=2×√-10=2√-10

8 0
3 years ago
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