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3 years ago

Pls help due in a few minutes

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

2. The markup as a percentage of the original price is 8%

3. The price is $26.46

4. The selling price is $2.85

5. He paid $237

6. The percentage discount is 25%

Hope this helps

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Hi everybody!

Irina-Kira [14]

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You are saving $5 each week to attend a summer program that costs $300. You already have $84. You have also received a $50 schol

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3 years ago

How can the equation of a parabola be derived when given the focus and the directrix?

pickupchik [31]

The distance between any point (x0,y0) on the parabola and the focus (m,n) is the same as the distance between (x0,y0) and the directrix line ax+by+c. The distance between (x0,y0) and focus (a,b) is \sqrt((x-m)^2+(y-n)^2). The distance between (x0,y0) and ax+by+c is |ax0+by0+c|/\sqrt(m^2+n^2). Equalize these two expressions.

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3 years ago

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

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3 years ago

Which ratio is higher 15:20 or 12:16. for 35 points

Margarita [4]

To find which ratio is higher, we can first convert the ratios into fractions (that makes it easier, at least for me) and then simplify the fractions and see which one is greater.

Since ratios are basically division, 15:20 = $\frac{15}{20}$ , and

12:16 = $\frac{12}{16}$

Now we simplify these fractions. 15 and 20 have a GCF of 5, so taking out the common number gives us the simplified fraction of $\frac{3}{4}$ .

12 and 16 have a GCF of 4, so taking out the common number gives us the simplified fraction of $\frac{3}{4}$ . Since $\frac{3}{4}$ = $\frac{3}{4}$ , these ratios are the same.

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4 years ago