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alisha [4.7K]
3 years ago
14

A sweater was on sale at %40 off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of

the sweater?
Mathematics
2 answers:
Artyom0805 [142]3 years ago
7 0

so she saved $20 and that was 40% of the regular price, let's say the regular price is "x".

if 20 is 40%, what is "x" or namely the 100%?

\bf \begin{array}{ccll} amount0&\%\\ \cline{1-2} 20&40\\ x&100 \end{array}\implies \cfrac{20}{x}=\cfrac{40}{100}\implies \cfrac{20}{x}=\cfrac{2}{5}\implies 100=2x \\\\\\ \cfrac{100}{2}=x\implies 50=x

mixas84 [53]3 years ago
7 0

Answer:This is an equation! Solutions: x=1.

Step-by-step

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We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation

The given table and the ratio of k=y/x is shown below.

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--- ------ --------
  6   10  1.667
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Answer:
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4 0
3 years ago
The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
3 years ago
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Answer:

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Step-by-step explanation:

y-1=5(x+6)

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Answer:

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Answer:

hope this helps

Step-by-step explanation:

x = 7

8 0
2 years ago
Read 2 more answers
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