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3 years ago

The product of two consecutive even integers is 224. what are the 4 integers?

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

Answer:

-16 and -14

14 and 16

Step-by-step explanation:

Let's say x is the smaller integer and x+2 is the larger integer. Their product is 224.

x (x + 2) = 224

x² + 2x = 224

Complete the square and solve for x.

x² + 2x + 1 = 225

(x + 1)² = 225

x + 1 = ±15

x = -16 or 14

x + 2 = -14 or 16

So the integers are either -16 and -14, or 14 and 16.

Lisa [10]3 years ago

7 0

Answer:

2*112

4*56

8*28

14*16

Step-by-step explanation:

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A farmer from Whidbey Island: A man claims his whalebone can detect water. You design an experiment using a set of 4 cans, 3 emp

tatyana61 [14]

Answer:

The value is $E(x) = 1.25$

Step-by-step explanation:

From the question we are told that

The number of cans is n = 4

The number of can that are empty is N = 3

The number of can filled with water is k = 1

The number number of sets of cans is w = 5

Generally probability of detecting the correct can is mathematically represented as

$p = \frac{k}{n}$

=> $p = \frac{1}{4}$

=> $p = 0.25$

Generally probability of not detecting the correct can is mathematically represented as

$q = 1- p$

$q = 1- 0.25$

$q = 0.75$

Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

$E(x) = w * p$

=> $E(x) = 5 * 0.75$

=> $E(x) = 1.25$

5 0

2 years ago

Is this graph proportional?

LenKa [72]

Answer:

Yes it is. becaus its even

3 0

2 years ago

How do you solve 2(x+7)+x=20

alexira [117]

2(x+7) + x=20
(2)(x) + (2)(7) + x=20 Distribute
2x+14 + x =20
(2x+x) + (14) =20 Combine Like Terms
3x+14=20
- 14 -14 Subtract 14 from both sides
3x = 6
3x/3 6/3 Divide Both Sides by 3

x = 2

Let me know if you still don't understand

4 0

3 years ago

Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.

Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = $2\pi r$ , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. $2\pi r=2.5$

$\Rightarrow\ r=\dfrac{2.5}{2\pi}$

$\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m$

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

7 0

3 years ago

What is r in this equation? <br>πr^2=42π

kupik [55]

R in this equation refers to the radius

${\pi r}^{2} = 42\pi \\ {r}^{2} = \frac{42\pi}{\pi} \\ r = \sqrt{42 } \\ r = 6.480740698$

4 0

3 years ago