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kolbaska11 [484]
3 years ago
9

Simplify plz :3 <3 1+4(6p-9)

Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

  • 1+4(6p-9)
  • 1+(4)(6p) + (4)(-9)
  • 1+24p -36  

Step 2: Combine like terms.

  • (24p) + (-36+1)
  • 24p - 35

Therefore, the answer is 24p - 35! I hope this helped you.

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Please help me. I really appreciate it if you answered. Thank you! &lt;3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​
Travka [436]

Answer:

S_5=\dfrac{170}{9}

Step-by-step explanation:

Given that,

The sum of first n term of a sequence isS_n=20-\dfrac{10}{2n-1}

We need to find the sum of the first 5 terms.

Put n = 5,

S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}

So, the sum of first 5 terms is equal to \dfrac{170}{9}.

6 0
3 years ago
A printer is printing photos. For every 10 photos, the printer takes 2 minutes.
Doss [256]

Answer:

Just divide the numbers by 10 and then multiply the quotient by 2. hope this helped

5 0
3 years ago
Which equation can be used to determine the distance between the origin and (–2, –4)?
Mashutka [201]
When trying to determine the distance between two points, one would use the distance formula.

The distance formula is attached above and all you need to do is plug in the points in order to get the distance.

For example, if you were to plug them in, you would get:

√(0+4)^2 + (0+2)^2

6 0
3 years ago
The expression (3 + 6i) + (5 - 10i) simplified is
HACTEHA [7]

Answer:

The answer is 8 - 4i

you collect the like terms

5 0
3 years ago
Read 2 more answers
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