All categories

3 years ago

Simplify and solve for the unknown. Use order of operations as needed. Check your work.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒ $5^{3} -10^{2} = x(8-2)+2x-3x$

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒ $125-100= 8x-2x+2x-3x$

cancelling out -2x and 2x

⇒ $25= 8x-3x$

⇒ $25= 5x$

Multiplying both side by 5

⇒ x= $\frac{25}{5}$

∴ x= 5

Hence, the value of unknown is 5.

You might be interested in

What property is occurring in the following example? 11.5 + (- 11.5) = 0

kramer

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

5 0

3 years ago

Combine like terms.<br><br> y + 3 + 9(y + 5) =

Mnenie [13.5K]

Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

$y + 3 + 9(y + 5) \\ = y + 3 + 9y + 45$

Next you have to collect like-terms :

$y + 3 + 9y + 45 \\ = 10y + 48$

7 0

3 years ago

Read 2 more answers

What is x and what's m<M?

sweet [91]

Use the property that angles sum up to 360 degrees.

Also use property that <M = <R and <A = <P.

That gives the following equation:

m<R + m<A + m<M + m<P = 360

6x+5 + 9x+25 + 6x+5 + 9x+25 = 360

30x + 60 = 360

x = 10

Answer:

x = 10

m<M = 6x+5 = 65 degrees

5 0

3 years ago

You roll a six sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6? A

NARA [144]

Answer:

D) very likely

Step-by-step explanation:

The possible outcomes are 1,2,3,4,5,6

Between means 2,3,4,5

A) certain it is not certain because we could get 1 or 6

B) unlikely we have a 4/6 change of getting our number rolled so it is not unlikely

C) impossible we have a 4/6 change of getting our number rolled so it is not impossible

D) very likely we have a 4/6 change of getting our number rolled so it is better than 50 % we will have one of our numbers rolled

4 0

3 years ago

Read 2 more answers

4<br> Simplify.<br> Rewrite the expression in the form b".<br> 610<br> 66<br> -

m_a_m_a [10]

Applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.

<h3>What is the Division Rule of Exponents?</h3>

The division rule of exponents state that if we have a numerator and a denominator with the same base, the quotient will be the base, while we subtract the exponent value of the denominator from the exponent value of the numerator.

For example, if we have, a³/a², the division rule of exponents states that:

a^(3 - 2) = a^1 = a.

Given the expression, 6^10/6^6, we can rewrite the expression in the form of b^n by applying the division rule of exponents as shown below:

6^10/6^6 = 6^(10 - 6)

6^10/6^6 = 6^4

In conclusion, applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.

Learn more about the division rule of exponents on:

brainly.com/question/2263967

#SPJ1

4 0

2 years ago