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3 years ago

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A clothing store put a sales price of $48 on a purse. Before the markup, the store paid $40 for the purse. What percent markup d

id the store put on the purse?

1 answer:

Nimfa-mama [501]3 years ago

8 0

Answer:

20% mark up

Step-by-step explanation:

[(48-40)/40]×100%= 20%

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The slope of the line below is 2 use the coordinates of the labeled point to find a point slope equation of the line

yan [13]

Answer:

B.

Step-by-step explanation:

The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.

You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.

When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.

When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.

5 0

3 years ago

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Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).

kumpel [21]

<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

$(x-h)^2+(y-k)^2=r^2$

$(h,k)$ is the center
$r$ is the radius

To determine the equation given the center and the radius:

Plug both pieces of information into the general equation
Simplify

<h2>Solving the Question</h2>

We're given:

Radius: 99
Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

$(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801$

<h2>Answer</h2>

$(x+1)^2+(y+8)^2=9801$

7 0

3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

so

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

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3 years ago

- 2y + 7y + 4<br> Can someone help

sladkih [1.3K]

Hi !
the answer is 5y+4

please let me know if im wrong (:

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3 years ago

What is the distance between (2, -1) and (-1, -5) on the coordinate plane?

Gekata [30.6K]

C. 5 units is the answer and I am typing to make in 20 characters long.

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3 years ago

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