All categories

3 years ago

Rajan bought 5 copies of a book to give as gifts. The book was on sale for $5 off the

Mathematics

1 answer:

ElenaW [278]3 years ago

7 0

Answer:

The original price of the book is $27

Step-by-step explanation:

Assume that the original price of each book is $x

∵ The book was on sale for $5 off of the original price

∵ The original price is $x

- To find the price on sale subtract 5 from x

∴ The price on sale = x - 5

∵ He bought 5 copies on the sale

∴ The total price of them = 5(x - 5)

∵ The total that he spent on 5 books was $2 more than he

would have spent on 4 copies of the book at the original price

∵ The price of the 4 copies = 4 x

- Subtract 4 x from the price on sale and equate the difference by 2

∴ 5(x - 5) - 4 x = 2

- Simplify the left hand side

∴ 5 x - 25 - 4 x = 2

- Add the like term

∴ x - 25 = 2

- Add 25 to both sides

∴ x = 27

∵ x is the original price of each book

∴ The original price of the book is $27

You might be interested in

Using triangle A B C as the pre-image and the origin as the center of dilation, which coordinate point is not a coordinate of a

Ostrovityanka [42]

Answer:

The correct option is:

begin ordered pair 4 comma 12 end ordered pair i.e. (4,12).

Step-by-step explanation:

We are given the coordinates of the point A,B and C of the triangle ΔABC as:

A(-1,3) , B(2,1) and C(-2,-1).

Now it is given that there is dilation of this triangle about the origin with a scale factor of 4.

This means that the change in the coordinates after the transformation is given by the rule:

(x,y) → (4x,4y)

As A → A' , B → B' and C → C'

Hence the coordinates A',B' and C' are given by:

A' are (4×-1,4×3)=(-4,12)

B' are (4×2,4×1)=(8,4)

and C' are (4×-2,4×-1)=(-8,-4).

Hence the coordinate point which is not a coordinate of dilation is:

begin ordered pair 4 comma 12 end ordered pair i.e. (4,12)

3 0

3 years ago

Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its

stich3 [128]

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

6 0

3 years ago

Solve the following problems: Find x, y

vladimir1956 [14]

Answer:

x=1.25, y=1.75

Step-by-step explanation:

The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.

Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.

Now we want to find what the side '5+x' is equal to. To do that we can use our ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.

Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.

Hope this helps! :)

8 0

3 years ago

The volume of the pyramid shown is 70 m3.

Ne4ueva [31]

Answer:

The height of the pyramid is 5m

Step-by-step explanation:

To calculate the heigth of a pyramid we have to use the following formula:

v = volume = 70 m³

w = width = 6 m

l = length = 7 m

h = height

v = (w * l * h) / 3

we replace the values that we know

70m³ = (6m * 7m * h) / 3

70m³ * 3 = 42m² * h

210m³ / 42m² = h

5m = h

The height of the pyramid is 5m

3 0

3 years ago

Read 2 more answers

PLS, HELP WILL GIVE BRAINIEST THX AND 30 POINTS 4 BEST ANSWER Jenna just opened a checking account at the bank. Within the first

nadya68 [22]

A) Deposits: +34.98; +51.02; +51.22
Withdrawals: -5.23; -5.22; -7.89
B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22
The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.
C) She would have $216.88.

98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88

6 0

3 years ago