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2 years ago

Two numbers whose sum is -1 and product is -20

Mathematics

1 answer:

enyata [817]2 years ago

3 0

Answer:

Let the two numbers be x and y.

Then x + y = 20, and y = 20 - x.

Their product is what you get when you multiply the two numbers together, in other words xy, or x(20 - x). You can expand this out to get 20x - x².

The product of the two numbers will be maximum at the value

Step-by-step explanation:

sorry if this didn't help

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A party planner is making gift bags for an event. He has 96 pencils,

Yuliya22 [10]

Considering the greatest common divisor, you obtain:

the greatest number of gift bags that the party planner can make is 12.
the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

<h3>Greatest common divisor </h3>

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.

A method to calculate the greatest common factor must follow the following steps:

Decompose or separate each number into prime factors.
Common factors are noted.
In each of the commons, the factor with the smallest exponent is chosen.
Multiply the chosen factors.

To find the greatest number of gift bags the party planner can make, you find the greatest common divisor.

To do this, decompose the numbers 96, 36 and 24:

96= 2⁵×3
36= 2²×3²
24= 2³×3

The common factors with the smallest exponent are: 2² and 3

So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12

This means that the greatest number of gift bags that the party planner can make is 12.

To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:

96 pencils÷ 12= 8 pencils
36 erasers÷ 12= 3 erasers
24 pencil toppers÷ 12= 2 pencil toppers

Finally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

Learn more about greatest common divisor:

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5 0

9 months ago

Gail purchase 5 raffle tickets. The grand prize is a vacation to Aruba. A total of 1,500 raffle tickets were sold. There is only

Aleks04 [339]

If it is in fraction you could do 5/1500 and reduce it to 1/300 , to change 1/300 to whole number it would be 3 , to change 1/300 to decimal it would be .03

8 0

3 years ago

It cost Naomi $7.70 to send 154 text messages. How many text messages did she send

s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0

2 years ago

What is the derivative of 3x+5x

Vaselesa [24]

Answer:

$\displaystyle \frac{d}{dx}[3x + 5x] = 8$

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle y = 3x + 5x$

<u>Step 2: Differentiate</u>

Simplify: $\displaystyle y = 8x$
Derivative Property [Multiplied Constant]: $\displaystyle y' = 8\frac{d}{dx}[x]$
Basic Power Rule: $\displaystyle y' = 8$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

3 years ago

The difference between the MDC and the LDC's

Contact [7]

Answer: MDCs have advanced socially and economically, whereas LDCs are in the early stages of development.

8 0

2 years ago