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3 years ago

Simplify: a+2a+3a+4a

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

8 0

Answer:

The answer is 10a

Step-by-step explanation:

Combine like terms first

a+2a+3a+4a

=(a+2a+3a+4a)

kolezko [41]3 years ago

5 0

Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.

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What is the solution to the equation 1 over 2 multiplied by n equals 7?

Minchanka [31]

Answer:

n=14

Step-by-step explanation:

multiply both sides by two to get rid of 1/2 and you find n=14

7 0

3 years ago

Read 2 more answers

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

LeShana loaned Deena $480. Deena paid the money back with simple interest of 5% at the end of 2 years. How much money did Deena

Amanda [17]

480$ --100%
x$ -------5%
x=480*5/100=24$

8 0

3 years ago

An airline offers daily flights between Chicago and Denver. The total monthly cost C (in millions of dollars) of these flights c

Ira Lisetskai [31]

Answer:

6250

Step-by-step explanation:

Fill in the given number and solve for x. The answer is 1000x, rounded.

$C=\sqrt{0.2x+1}\\\\1.5=\sqrt{0.2x+1} \quad\text{use given value for C}\\\\2.25=0.2x+1 \quad\text{square both sides}\\\\1.25=0.2x \quad\text{subtract 1}\\\\6.25=x \quad\text{multiply by 5}$

x is in thousands, so 6.25×1000 = 6,250 passengers flew in June.

8 0

4 years ago

Daniel picked out a book to give his dad for his birthday. Daniel only has 63cents from his piggy bank. His mom said she would p

Sauron [17]

Answer:

$13.44

Step-by-step explanation:

Daniel's money + Mom's money = $12.81 + $0.63

That is $13.44.

Hope that helps!

5 0

3 years ago