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3 years ago

The original cost of a pair of shoes is $125. The shoes are now on sale for $100. What is the percent discount of the shoes?

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

8 0

The percentage discount is 25%

Galina-37 [17]3 years ago

4 0

Answer:

The percent discount of the shoes is 20%

Hope I helped!

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A rectangle measures(2x-1)cm by(x+2)cm. Given that the area of the rectangle is 63cm². find the value of x

o-na [289]

Answer:

5cm

Step-by-step explanation:

A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.

Area of a rectangle = length x breadth

Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².

Since area = length x breadth

Area = (2x - 1) x ( x + 2)

(2x - 1)(x + 2) = 63

Expand the bracket

2x (x + 2) -1 ( x + 2) = 63

2x² + 4x - x - 2 = 63

2x² + 3x - 2 = 63

2x² + 3x -2 -63 = 0

2x² + 3x - 65 =0

We'll Solve the quadratic equation, we can solve using factorisation method.

Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x

Factors = 13 and -10

Rewrite equation

2x² - 10x + 13x - 65 = 0

Factorise

2x(x - 5) + 13 ( x - 5) = 0

2x + 13 = 0 or x - 5 = 0

2x = -13 or x = 5

Since we can't have a negative length then x = 5cm

I hope this was helpful, Please mark as brainliest

5 0

3 years ago

In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether , they hit 18 home

vfiekz [6]

6 equals one person
12 equals other person

3 0

4 years ago

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)

sasho [114]

The correct answer choice is:
______________________________________________
[C]: "Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given: " $\frac{-1}{8}$ (x + 35) = -7 " ;

We can START by multiply each side of the equation by "-8" to completely get rid of the " $\frac{-1}{8}$ " fraction on the "left-hand-side" of the equation:

since: " $\frac{-1}{8}$ * -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" $\frac{-1}{8}$ * -8 =

$\frac{-1}{8}$ * $\frac{-8}{1}$ =

$\frac{(-1*-8)}{(8* 1)}$ = $\frac{8}{8}$ = 1 .
____________________________________________________
So, given: " $\frac{-1}{8}$ (x + 35) = -7 " ; ;

We multiply each side of the equation by "-8" ;

→ -8 * { $\frac{-1}{8}$ (x + 35) } = -7 * {-8) " ;

→ 1 (x + 35) = 56 ;

→ x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

→ x + 35 − 35 = 56 − 35 ;

→ x = 21 .
______________________________________________________
So, as explained, the correct answer is:
______________________________________________________
Answer choice: [C]:
______________________________________________________
"Multiply each side by −8, subtract 35 from each side" .
______________________________________________________

7 0

4 years ago

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6in long are cut from the four corners and the

aleksandrvk [35]

Check the picture below.

$\bf V=3354~in^3\qquad \qquad 3354=6(w-12)(w+18)
\\\\\\
\cfrac{3354}{6}=w^2+6w-216\implies 559=w^2+6w-216
\\\\\\
0=w^2+6w-775\implies 0=(w+31)(w-25)\implies w=
\begin{cases}
-31\\
\boxed{25}
\end{cases}$

since the width is just a dimension unit, it can't be -31.

what is the length? well, the length is w + 30.

6 0

3 years ago

Determine the direction this parabola opens: Y=x^2+2x+8 Down or Up

rewona [7]

Hello there!

You need to find an online calculator that will help you graph them.

Answer: The direction is open UP

See the graph bellow!

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4 years ago

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