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oksano4ka [1.4K]
2 years ago
8

The sum of 2 numbers is 60. One number is four times as large as the other. What are the numbers?

Mathematics
2 answers:
Nastasia [14]2 years ago
5 0

Answer:

12 and 48

Step-by-step explanation:

let one number be x then the other number is 4x ( 4 times larger )

the sum of the 2 numbers is 60, thus

x + 4x = 60

5x = 60 ( divide both sides by 5 )

x = 12

the 2 numbers are x = 12 and 4x = 4 × 12 = 48


Margaret [11]2 years ago
4 0

Answer:


Step-by-step explanation:

We will let the smaller of the two numbers be x


Then, the larger number will be 4x


Then we can use this info to solve for x:


x+4x=60



5x=60


x=12


4x=4*12


4x=48


The two numbers are 12 and 48!!! :)

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Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the
bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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2 years ago
#1) * Find the value of x. Write your answer in simplest form.​
Usimov [2.4K]
Answer is 4
in the 45 45 90 triangle rule, the longest length is x sq root 2
so since the longest length is 4 sq root 2,
the two others are just 4
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