All categories

2 years ago

Simplify the expression by arranging the steps in sequence, based on the order of operations.

Mathematics

1 answer:

lubasha [3.4K]2 years ago

8 0

Answer:

$\displaystyle 6x - 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

Distribute: $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
Multiply: $\displaystyle 5x + 4 - 9 + x$
Rearrange: $\displaystyle 5x + x + 4 - 9$
Combine like terms: $\displaystyle 6x - 5$

You might be interested in

8. In the first two basketball games, Lee scored a total of

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

40-21+19

5 0

2 years ago

Simplify completely. (2 + 3i) + (-4+i)

Aleksandr-060686 [28]

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

7 0

2 years ago

Read 2 more answers

The populations and land areas of four cities in Texas are shown.

dybincka [34]

We are given a table showing the population and the area of different cities, A, B, C and D. To calculate the population density, divide the population over the total area of the city. The following statements are true:

--The population density of City B is greater than that of City C.

--City D has the lowest population density of the four cities.

--The population density for City B can be found using the ratio 48,592 : 26.

4 0

3 years ago

Read 2 more answers

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

2 years ago

What are the factors of 5

emmasim [6.3K]

Answer:

1 and 5. Can I get a brainliest???

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers