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3 years ago

Explain why the product of 2 times any number is an even number

Mathematics

1 answer:

leonid [27]3 years ago

7 0

If you add 2 odd numbers together eg. 5+5 it would become an even number eg. 10.

If you add 2 even numbers together eg. 60+60 it would stay as an even number eg.120.

The product is basically the same thing as that but instead of adding the same number twice, you multiplying the number with 2 which is the same as adding two of the same numbers.

You might be interested in

9x - 4/x = 3. How to solve this? What is the value of x?

Ket [755]

9x-4/x=3 ok first lets get the like terms together! So 9x+1x=10x rewrite 10x-4=3 add 4 to both sides 10x=7 then divide 10 7/10=.7 x=.7
Or you can do it this way
9x-4/x=3 combine like terms so times -4 to both sides 3*-4=-12 rewrite 9x+x=-12 combine like term (still got some) 9x+1x=10x rewrite 10x=-12 divide 10 to both sides -12/10=-1.2 rewrite x=-1.2 (I'm like 95% sure it's this one) hope this helps!!! Have a nice nite (Don't be afraid to ask me about details on this or another question)!!!

7 0

3 years ago

38,32,26,20<br> What is the next term in this sequence?

yarga [219]

14

You are taking away 6 each time

5 0

3 years ago

Read 2 more answers

6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the

MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

$a_1$ the horizontal distance between the first observer and the ballonist

$a_2$ the horizontal distance between the second observer and the ballonist

$\alpha _1$ and $\alpha _2$ the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

$S=a*h$ (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

$S=S_1+S_2$ (equation 2)

$S_1=a_1*h$

But we can write $S_1$ in terms of $\alpha _1$ , like this:

$\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}$

And for $S_2$ will be the same:

$S_2=\frac{h^{2} }{\tan(\alpha _2)}$

Replacing in the equation 2:

$S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})$

And replacing in the equation 1:

$h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}$

So, we can replace all the known data in the last equation:

$h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft$

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0

3 years ago

Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should

sergeinik [125]

Answer:

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

3 0

3 years ago

Read 2 more answers

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard

STALIN [3.7K]

Answer:

Standard deviation gets smaller

Step-by-step explanation:

No. of students = 45

The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM.

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\56=\frac{Sum}{45}\\56 \times 45=Sum\\2520=Sum$

The teacher realized that the data from one student who typed 55 WPM was not entered.

So, new sum = 2520+55

New sum =2575

So, new mean = $\frac{2575}{45}$

New mean =57.22

Standard deviation is the measure of distance between observation and mean

So, if number gets closer to mean , Standard deviation gets smaller . if the numbers get bigger , Standard deviation gets bigger.

Since 55 is closer to 57.22

So, Standard deviation gets smaller

4 0

3 years ago