A picture is 2” x 1.5”. Scale is 1:40cm. What are dimensions of original painting

You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H

PSYCHO15rus [73]

The number of books sold is 473.

Step-by-step explanation:

The original cost of each book = $0.64
The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

The total number of books be 'x'.
The number of books sold be 'y'.
The unsold books is 100.
The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100 -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

8 0

3 years ago

Given a dilation around the origin, what is the scale factor K? D o, K = (2,4) → (3,6)

fenix001 [56]

Answer: 3/2

Step-by-step explanation:

5 0

3 years ago

Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a

klasskru [66]

Given:

Point B has coordinates (4,1).

The x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance between point A and point B is 10 units.

$\sqrt{(4-(-4))^2+(1-y)^2}=10$

Taking square on both sides, we get

$(8)^2+(1-y)^2=100$

$(1-y)^2=100-64$

$(1-y)^2=36$

Taking square root on both sides, we get

$(1-y)=\pm \sqrt{36}$

$-y=\pm 6-1$

$y=1\mp 6$

$y=1-6$ and $y=1+6$

$y=-5$ and $y=7$

Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).

7 0

2 years ago

Please solve the table and show your work

Elanso [62]

Answer:

a

Step-by-step explanation:

3 0

2 years ago

Billy anderson is choosing between two fitness centers. Center A charges $495 per year for unlimited use of all facilities. Cent

GREYUIT [131]

Let's compare the cost of both the centers.

Cost of Center A:

One time charge of $495 in one year.

Cost of Center B:

Flat $25 dollar sign up fee
$15 per month, so $15*12=180$ dollars a year
$5 per aerobic class, so $5*52=260$ dollars a year (given that Billy goes to class once a week) (Note: There are 52 weeks in a year)

Total cost = $25+180+260=465$ dollars

Hence, Center B would cost $495-465=30$ dollars cheaper.

ANSWER: Least expensive club for Billy to use for a year is Center B

5 0

3 years ago

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