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3 years ago

4n + 5n= -9? What is the answer?

Mathematics

2 answers:

uysha [10]3 years ago

8 0

Combine like terms:

$4n+5n=-9\\ 9n=-9$

Isolate the variable on one side of the equation:

$9n=-9\\ n=-1$

The answer is $n=-1$ .

timurjin [86]3 years ago

6 0

add 4n and 5n, which is 9. 9n=-9, and if u divide both sides by nine, n=-1

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What is the reciprocal of 4 5/8

Andrei [34K]

Answer:

8/45

Step-by-step explanation:

Write 4 5/8 as an improper fraction: 45/8.

Then invert this result, obtaining:

. This is the "reciprocal" of 4 5/8.

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2 years ago

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VikaD [51]

This one.

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3 years ago

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Can someone please help me on solving: x+y=-4

timama [110]

Answer: x=-1 and y= -3

Step-by-step explanation:

Solve for x, x+y=-4

Minus y from both sides so it'll be X=-y-4

Now substitute -y-4 in x-y=2 and solve for y

-y - 4 -y=2

Add like terms, -2y - 4=2

Add 4 to both sides -2y=6

Divide both sides by -2 $\frac{-2y}{-2} = \frac{6}{-2}$

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2 years ago

Evaluate 6²-7²+8²-9²+..+998²-999²

Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

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3 years ago

A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a

bezimeni [28]

Let 's' represent the amount of sales.

Plan 1:

$\text{ \$700 + (4\% of s)}$ $\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}$

Plan 2:

$12\text{ \% of s}$ $\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}$

Equating the two plans together and solving for the amount of sales,

$\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}$

Collecting like terms,

$\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}$

Divide both sides by 0.08,

$\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}$

Hence, the amount of sales is $8,750.

6 0

1 year ago