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2 years ago

14

Percy is shopping online and finds a great deal on bookcases. Percy pays $27 for a bookcase that originally sold for $36. What i

s the discount percentage? Write your answer using a percent sign (%).
HELP

1 answer:

Roman55 [17]2 years ago

7 0

Answer:

The answer is $84

Step-by-step explanation:

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

60 = 9x - 21 What is the solution to this equation plz hurry

madam [21]

Answer:

x=9

Step-by-step explanation:

hope this helps i think it's right 60=9x - 21 you add 21 to both sides and get 81 = 9x then divide 81 by 9 and get x=9

8 0

2 years ago

Read 2 more answers

Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?

saveliy_v [14]

Answer:

The value for r is 19.1 cm

Step-by-step explanation:

We have been given that s = 16 cm, θ = 48° and we have to find the radius r.

We know the relation

$\theta=\frac{s}{r}\\\\r=\frac{s}{\theta},\text{ where }\theta \text{ is in radian}$

Hence, first of all convert the angle in radian

θ = 48°= 0.837758 radian

Therefore, we have

$r=\frac{16}{0.837758}\\\\r=19.1\text{ cm}$

8 0

2 years ago

Read 2 more answers

The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a tot

Readme [11.4K]

(20:4)x3=15 (Ellas grade)
(20:5)x4=16 (Minhs grade)

5 0

2 years ago

Look at the pattern.<br><br> What is the next image in the pattern?

sp2606 [1]

By following the pattern the next image in the pattern is (b) since the correct option is (b).

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers is arranged in a particular way, the arrangement is referred to as a pattern.

From the pattern given: In pattern one, the first column contains 2 blocks and the second column contains 1 block. In pattern second, the first column contains 3 blocks, the second column contains 2 blocks and the third column contains 1 block. In pattern third, the first column contains 4 blocks, the second column contains 3 blocks, the third column contains 2 blocks and the fourth column contains 1 block.

∴ You can observe that block the ks are arranged in descending numbers.

Hence, option (b) is correct.

Learn more about patterns here: brainly.com/question/534678

#SPJ10

7 0

1 year ago