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3 years ago

What is the answer to this problem 18+4(28)

Mathematics

2 answers:

olganol [36]3 years ago

5 0

Answer: 130

Step-by-step explanation: multiply 4 and 28 first because of PEMDAS. After you get 112, add 18 and you get 130.

lbvjy [14]3 years ago

3 0

Answer:

130 is the answer

Step-by-step explanation:

first u do 28 times 4 witch is 112 then u do 112 plus 18 witch is 130

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The sum of 4 consecutive even integers is -12. find the largest integer.

Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

<u>According to question</u>

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴ x = $\frac{- 24}{8}$

i.e x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0 Answer

6 0

3 years ago

X^5y^3/x^2-x-6 * x^2 -9/x^2y^4

zvonat [6]

$\bf \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{x^2-9}{x^2y^4}\implies \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{\stackrel{\textit{difference of squares}}{x^2-3^2}}{x^2y^4} \\\\\\ \cfrac{x^5y^3}{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+2)}\cdot \cfrac{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+3)}{x^2y^4}\implies \cfrac{x^5y^3}{x+2}\cdot \cfrac{x+3}{x^2y^4}$

$\bf \cfrac{x^5y^3}{x^2y^4}\implies \cfrac{x^5x^{-2}}{y^4y^{-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^{5-2}}{y^{4-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^3(x+3)}{y(x+2)}\implies \cfrac{x^4+3x^3}{yx+2y}$

6 0

4 years ago

An office building has 32 office on its eight floors. How many offices are on each floor?

Leona [35]

32 divided by 8= 4

so 4 on each floor.

5 0

3 years ago

Factor 5x 2 - 7x + 2. (5x + 2)(x - 1) (5x - 1)(x - 2) (5x - 2)(x - 1)

Lina20 [59]

<span>5x^2 - 7x + 2
5x^2 - 2x - 5x + 2
x(5x - 2) - (5x - 2)
(5x - 2)(x - 1)

The answer is: (5x - 2)(x - 1).</span>

8 0

3 years ago

Use the substitution method to solve the following system of equations> y = - x - 4 - x + 2y = 13

Anon25 [30]

<h3>Answer:</h3>

(x, y) = (-7, 3)

<h3>Explanation:</h3>

The idea of substitution is that you write an expression for one of the variables in terms of the other variable(s), then use that expression in the place of the variable in all the other equations.

Here, your first equation gives and expression for y in terms of x. Use that expression in place of y in the second equation.

... y = -x-4 . . . . your first equation, defining y

... -x +2(-x-4) = 13 . . . . the above expression for y is put where y was in the second equation

Now, this is solved like any one-variable equation.

... -x -2x -8 = 13 . . . . eliminate parentheses

... -3x = 21 . . . . . . . . collect terms, add 8

... x = -7 . . . . . . . . . . divide by -3

... y = -(-7) -4 = 7 -4 = 3 . . . . use the expression for y to find the value of y

The solution is (x, y) = (-7, 3).

_____

<em>Comment on substitution</em>

Substitution works the same in equations as it does anywhere else in life. (Perhaps the only difference is that in equations, the substituted quantity must be <em>exactly equal</em>.) For example, in many vending machines, a dollar can be substituted for 4 quarters, and vice versa. In cooking, a small egg plus some additional liquid can be substituted for a large egg (in many cases).

The idea is that if two things are declared equivalent, either can be used in place of the other. For solving equations, this is a useful way to reduce the number of variables in an equation.

8 0

3 years ago