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VashaNatasha [74]
3 years ago
12

During a sale at a bookstore, Joseph buys a book at full price. He is given a 50 percent discount on a second book of equal or l

ess value. If Joseph buys two books that have a full price of $15 and $10, by what percent is the total cost of the two books reduced during the sale? (A) 5% (B) 20% (C) 25% (D) 30% (E) 50%
Mathematics
1 answer:
NARA [144]3 years ago
5 0
Total cost of books was 15 + 10 or 25.  With the 50 % discount on the $10 book, the total is now $20. The total cost was reduced by (B) 20%.
 $5 off the $25 price is a 20% discount.
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Warmup/Reflection- necessary for attendance
Pepsi [2]

Answer:

x = 7

Step-by-step explanation:

-3 + 2x = 11

(group like terms)

2x = 11 + 3

2x = 14

(divide both sides by 2 to make x stand alone)

2x/2 = 14/2

x = 7

8 0
3 years ago
Please please help me!!
makvit [3.9K]

Answer:

f(x)= - l x - (-4) l + 0

Step-by-step explanation:

6 0
3 years ago
Please answer soon I need this answer very quickly for math. Thank you!
Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

a_n=4n+5

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

a_{25} = 4(25)+5\\=100+5\\=105

The formula for sum is:

S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

d=4

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3280369
  • brainly.com/question/7221312

#LearnwithBrainly

4 0
3 years ago
A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangl
vekshin1

Answer:

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle  =  4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is  Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width  = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times  = 2 X 3 = 6cm

width is also 3 times  = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X  6 = 36 square centimetres

Case 2:

Length = 4 cm

Width  = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times  = 4 X 3 = 12 cm

width is also 3 times  = 1 X 3 =3 cm

Now the area of the second rectangle will be

12 X  3 = 36 square centimetres

5 0
3 years ago
Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi
miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Putting the values, we get,

z_{score} = \displaystyle\frac{x-77.5}{11.6}

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

7 0
3 years ago
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