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Leona [35]
2 years ago
9

A shoe store has a pair of shoes that originally cost eighty dollars. Match the expression to find each markup or discount by dr

agging the expressions to the markup or discount.

Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Step-by-step explanation:

always remember some basic principles when dealing with percentages :

100% is the whole

1% = 100%/100

n% = n×1% = n×100%/100

therefore, n% of an amount m is n/100 × m.

like 25% = 25/100 × m = 0.25 × m

so, now it should be very easy :

the 25% discount of $80 is

0.25×80

the amount deducted by (= after) the discount is

80 - 0.25×80

which is actually 0.75×80

a markup is added into the total cost incurred by the producer of a good or service in order to cover the costs of doing business and create a profit. so, a markup of 40% is simply again

0.40×80

and the sale price including (= after) the markup is then

80 + 0.40×80

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Diano4ka-milaya [45]
<h3>Distributive Property</h3>

The distributive property lets you group or ungroup terms using parentheses. It lets you multiply an external factor by every term in parentheses, expressing the result as a sum:

... a(b + c) = ab + ac . . . . . . factor <em>a</em> multiplies the terms <em>b</em> and <em>c</em>

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The letters <em>a</em>, <em>b</em>, <em>c</em> here can stand for any number or expression.

<h3>Homework</h3>

20. To do this problem, you need to eliminate the parentheses using the distributive property. Then, "collect terms," which is another application of the distributive property. The external factor outside the parentheses is (-2/3). Multiply that by each term in parentheses, and add the results.

After that, recognize that c is a factor of two of the terms. Add their coefficients to simplify that sum to one term.

-\dfrac{2}{3}(12c-9)+14c=\left(-\dfrac{2}{3}\right)(12c)+\left(-\dfrac{2}{3}\right)(-9)+14c=-8c+6+14c\\\\=c(-8+14)+6\\\\=6c+6

22. You are to evaluate the expression with x=2 two ways: as is, and after you simplify it by combining like terms.

<u>As is:</u>

-8x+5-2x-4+5x\\=-8(2)+5-2(2)-4+5(2)\\=-16+5-4-4+10\\=-9

<u>Simplified:</u>

-8x+5-2x-4+5x\\=x(-8-2+5)+(5-4)=-5x+1\\=-5(2)+1=-10+1\\=-9

I prefer simplifying the expression first. The number of calculations and chances for error are reduced.

23. It is convenient to check for equivalence after simplifying both expressions.

<u>First Expression:</u>

8x^2+3\left(x^2+y\right)=8x^2+3x^2+3y=11x^2+3y

<u>Second Expression:</u>

7x^2+7y +4x^2-4y=(7+4)x^2+(7-4)y=11x^2+3y

The simplified forms of the expressions are identical, so we conclude the expressions are equivalent.

25. The area of a rectangle is the product of its length and width. Here, you are asked to simplify the product of (3+x) ft and 3 ft.

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In the last form of this expression, we have used "standard form" which has the degree of the variable decreasing in terms left to right. The units are factored out to make the expression a bit less cumbersome.

3 0
3 years ago
Read 2 more answers
Please help and show work!
Ierofanga [76]

Answer:

x = 3

Step-by-step explanation:

Two triangles are similar

x/(x+3) = 4/8 cross multiply expressions

8x = 4x + 12

8x - 4x = 12

4x = 12 divide both sides by 4

x = 3

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2 years ago
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trasher [3.6K]
Answer: x=24

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5 0
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