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3 years ago

3. The difference of the squares of two positive consecutive odd integers is 32. Find the

Mathematics

1 answer:

abruzzese [7]3 years ago

4 0

Answer:

7,9

Step-by-step explanation:

Let two consecutive odd integer=X and (X+1)

The difference of the squares of two positive consecutive odd integers is 32.

So(X+2)^2-x^2=32

(x^2+4+4x)-x^2=32

x^2+4+4x-x^2=32

4x=32-4

4x=28

X=28/4

X=7

So first integer=7

Second integer=7+2

=9.

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Identify the range of the function shown in the graph.

Schach [20]

Option c would be correct

8 0

4 years ago

What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10

lana [24]

Answer:

2,300,000pages report.

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x = 4.6*10⁶

x = 4.6*10⁶/2

x = 2.3*10⁶

x = 2,300,000

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4 0

3 years ago

The original price of a computer is $489.00. it is discounted 30%. find the selling price

Yanka [14]

Answer:

$342.30

Step-by-step explanation:

The original price of the computer is $489. The computer is discounted 30%, which means that 30% of the price is removed from the original price.

30% of 489 is

489 * 0.3 which is $146.7

146.7 is the discounted amount, not the selling price. To find the selling price, subtract how much is discounted ( 146.7) from the original price (489).

489-146.7= 342.3

3 0

2 years ago

A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe

Liula [17]

Answer:

Equation: $8.5t+6.5=57.5$

Solution: $t=6$

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

$8.5t$

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

$8.5t+6.5$