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jarptica [38.1K]
2 years ago
12

5000 sheets of paper cost $115 how much does a singcost

Mathematics
1 answer:
adell [148]2 years ago
8 0
115/5000=0.023, or 23 cents per piece of paper. Hope this helps, and PM me if you didn't understand something!
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Question 9:
Arte-miy333 [17]

Answer:

I think the answer is.. .

Step-by-step explanation:

(b)

7 0
2 years ago
Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7
marusya05 [52]

Answer:

  • -3x² -5x -1 = 0
  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

__

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

8 0
1 year ago
When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r
Temka [501]

Answer:

8

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

8 0
3 years ago
Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)
Olin [163]

Answer:

y = 2x + 11

Step-by-step explanation:

y - 3 = 2(x + 4)      

y - 3 = 2*x + 2*4

y -3 = 2x + 8

y     = 2x + 8 +3

  y = 2x + 11

7 0
2 years ago
What is the area of the polygon?
Brilliant_brown [7]

Answer: 810m^{2}

Step-by-step explanation:

First, we divide the composite figure into two distinct geometric shapes. This would be a triangle and a square. To find the triangle we use the formula:

A = 1/2bh

To find the base of the triangle we can add:

9 + 9 + 18 = 36

Now we plug in and solve:

A = 1/2bh

A = 1/2(36)(27)

= 1/2(972)

= 486

To find the square, we can use length x width:

18×18 = 324

Now, we add the sums together:

486 + 324 = 810

5 0
2 years ago
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