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leva [86]
3 years ago
13

The sum of three consecutive numbers is 96. What are the smallest of these numbers? Write and Solve an Equation.

Mathematics
2 answers:
zlopas [31]3 years ago
5 0

Answer:

31

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96                Remove the brackets

Solution

x - 1 + x + x + 1 = 96                   Combine like terms

3x = 96                                       Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

vichka [17]3 years ago
4 0

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

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Rewrite each expression by combining like terms. <br> 13p - 4p + 6q
Dovator [93]

Answer:

You answer would be 15p

Step-by-step explanation:

13p - 4p + 6p

9p + 6p

15p

7 0
3 years ago
Read 2 more answers
Give the values of n and ell for an electron in a 4d orbital. n = ell = 16 select the values of mell and ms that are possible fo
Anestetic [448]
There are four quantum numbers: n, l, ml and ms. When the orbital is 4d, the 4 is corresponding to n. Thus, n=4. Then, the d corresponds to l = 2. Now, to find the value for ml, take the values of -l to +l. Therefore,

<em>ml = -2, -1, 0, 1, 2</em>

<em>Then,ms could only be either +1 or -1.</em>
8 0
3 years ago
Find the slope using these two coordinate points:<br> (0, 15) and (4, 3)<br> Your answer
Nataly [62]

Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3

8 0
3 years ago
You live on a triangular piece of land with a base of 121 yards and a height of 80 yards. One acre of land is equal to 4840 squa
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Step-by-step explanation:

5 0
3 years ago
Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)
insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero.  I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again


5 0
3 years ago
Read 2 more answers
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