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elena55 [62]
3 years ago
10

Paulie ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. The pens cost 11 cents more than the pencils. If

Paulie's total order costs $42.50, find the cost of each pen and pencil.
Mathematics
1 answer:
Korolek [52]3 years ago
4 0
Remember that cents has a decimal when put in an equation.
250(x + 11) + 250x = 4250
250x + 2750 + 250x = 4250
500x + 2750 = 4250
500x = 1500
x = 3 cents (pencils)
x+11 = 14 cents (pens)
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Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x+y)^28
MakcuM [25]

Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.

Each expansion is a polynomial. There are some patterns to be noted.

1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.

2. In each term, the sum of the exponents is n, the power to which the binomial is raised.

3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.

4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.

8 0
3 years ago
Find three consecutive odd integers such that the sum of the 1st and 2nd number is 344
olga2289 [7]

Answer:

three consecutive odd integers are.

171, 173, 175

Step-by-step explanation:

Let x be the first term of odd integer,

Therefore, the second consecutive odd integers = x+2

Similarly, the third consecutive odd integers = x+4

Given:

The sum of the first term and second term is 344.

first term + second term = 344

Here first term is x and second term is x+2.

x+(x+2)=344

2x+2=344

2x=344-2

x=\frac{342}{2}

x=171

Therefore, the first odd integers is 171.

And the second consecutive odd integers = x+2=171+2=173

Similarly, the third consecutive odd integers = x+4=171+4=175

8 0
3 years ago
How many times is 5 x 10^6 larger than 5 x 10^4
gayaneshka [121]
<h3>Answer:</h3>

By <em>100 times</em>.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

3 0
3 years ago
PLEASE HURRY!!!!!!!
mamaluj [8]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Round the factors and estimate the products 656 times 106
Reika [66]

Answer:

Step-by-step explanation:

656 ≈660 and 106 ≈ 100

this means

660×100

=66000

⇒ 656×106 ≈ 66000

3 0
3 years ago
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