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const2013 [10]
2 years ago
5

What two consecutive integers have a sum of 47v

Mathematics
2 answers:
pav-90 [236]2 years ago
6 0

Answer:

23 and 24

Step-by-step explanation:

Hitman42 [59]2 years ago
5 0

Answer:

23 and 24

Step-by-step explanation:

The method I use to do these sort of problems is that I divide the number by 2. In this case, 47 ÷ 2 is 23.5.

Now the two whole numbers less than 23.5 and greater than 23.5 are the consecutive numbers that add up to 47.

You can check by adding 23 + 24 which equals 47.

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Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
Anastasy [175]
  1. The answer is A = x since the opposite sides of a rectangle are the same length.
  2. We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
  3. On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
  4. Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below

(5x-3)(9x+2)

5x(9x+2)-3(9x+2)

45x^2+10x-27x-6

45x^2-17x-6

You could also use the FOIL rule to get this answer. The box method is another alternative.

4 0
3 years ago
Determine if the following statement is sometimes, always, or never true. The central angle of a minor arc is an acute angle.
zavuch27 [327]
It is sometimes true
5 0
4 years ago
Please hurry its for a test <br><br> simplify 1/3x + 1/4 + 2/3x
kykrilka [37]

Answer:

x + 1/4

Step-by-step explanation:

6 0
3 years ago
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Divide 33 photoes into 2 groups so the ratio is 4 to 7
natali 33 [55]

Answer:

12:21

Step-by-step explanation:

4 + 7 = 11

33/11 = 3

3x4=12 & 3x7=21

Therefore, ratio is, 12:21

3 0
3 years ago
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The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)
Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation Q(x)=2x^2-kx+18

To find:

Value of k = ? for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: ax^{2} +bx+c=0 to have one distinct solution:

b^2 - 4ac = 0

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12

The equation becomes:

Q(x)=2x^2-12x+18

And the one root is:

2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3

4 0
3 years ago
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