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3 years ago

Identify the property that justifies the statement: If 4x-3=7, then 4x=10

1 answer:

4 0

The equation shown above is showing the Addition Property of Equation where the number “3” is added to both of its sides. This is shown below,

4x - 3 = 7

4x - 3 + 3 = 7 + 3

4x = 10

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What is the value of the x variable in the solution to the following system of equations?

Tpy6a [65]

For the first set of equations, the value of y in the solution is -2.
For the second set of equations, the value of x in the solution cannot be solved because they have the same slope.
solve x and y values.
For the third set of equations, the value of x in the solution is 3.

8 0

4 years ago

Read 2 more answers

205 of the 550 people travel further than sam. Estimate how far same travels?

Marrrta [24]

There is no distance amount so I’m going to assume the question is asking how many more people traveled farther than Sam...
So 250/550=about 37% of them

5 0

3 years ago

Can you find the volume and tell me how you came up with the answer? :) thanks

umka21 [38]

Hello,

The volume of a cylinder is $\pi*R^{2}*h$ .

We have : h = 17 cm but we don't have the radius.

Therefore let's find it.
You have a rectangle triangle and one of its length is the radius of the cylinder base.

So let's apply the Pythagorean theorem.

For us : AB = 17 cm, AC = 15

AB² = AC² + BC²
17² = 15² + BC²
BC² = 17² - 15²
BC² = 289 - 225
BC² = 64
BC = √64
BC = 8 cm

Therefore the radius measures 8 cm and now we have everything to calculate the cylinder's volume.

$\pi*R^{2}*h$
$= \pi *8^2*17$ $= 3418 cm^3$ Hope it helps !

7 0

4 years ago

9. To order books from an online site, the buyer must open an account. The buyer needs a username and a password.

slega [8]

Answer:

i)208827064576

ii)62990928000

i)28179280429056

ii)15214711438080

i)899194740203776

ii)607681858331520

Step-by-step explanation:

i)The alphabet consists of 26 letters.

For the first letter of the username there are 26 options.

For the second letter of the username there are 26 options.

For the third letter of the username there are 26 options.

For the fourth letter of the username there are 26 options.

For the fifth letter of the username there are 26 options.

For the sixth letter of the username there are 26 options.

For the seventh letter of the username there are 26 options.

For the eighth letter of the username there are 26 options.

To get the number of the possible usernames we multiply the number of options for each letter: 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 =26^8=208827064576

ii) If letter cannot be repeated.

For the first letter of the username there are 26 options.

For the second letter of the username there are only 25 options.

For the third letter of the username there are only 24 options.

For the fourth letter of the username there are only 23 options.

For the fifth letter of the username there are only 22 options.

For the sixth letter of the username there are only 21 options.

For the seventh letter of the username there are only 20 options.

For the eighth letter of the username there are only 19 options.

To get the number of the possible usernames we multiply the number of options for each letter: 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 =62990928000

b) 26 letters+10digits+12special characters=48 options

i) For the first letter of the password there are 48 options.

For the second letter of the password there are 48 options.

For the third letter of the password there are 48 options.

For the fourth letter of the password there are 48 options.

For the fifth letter of the password there are 48 options.

For the sixth letter of the password there are 48 options.

For the seventh letter of the password there are 48 options.

For the eighth letter of the password there are 48 options.

To get the number of the possible usernames we multiply the number of options for each letter: 48 x 48 x 48 x 48 x 48 x 48 x 48 x 48= 48^8=28179280429056

ii) If letter cannot be repeated.

For the first letter of the password there are 48 options.

For the second letter of the password there are only 47 options.

For the third letter of the password there are only 46 options.

For the fourth letter of the password there are only 45 options.

For the fifth letter of the password there are only 44 options.

For the sixth letter of the password there are only 43 options.

For the seventh letter of the password there are only 42 options.

For the eighth letter of the password there are only 41 options.

To get the number of the possible usernames we multiply the number of options for each letter: 48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 =15214711438080

c) 26 uppercase letters+26 lowercase letters +10digits+12special characters=74 options

i) For the first letter of the password there are 74 options.

For the second letter of the password there are 74 options.

For the third letter of the password there are 74 options.

For the fourth letter of the password there are 74 options.

For the fifth letter of the password there are 74 options.

For the sixth letter of the password there are 74 options.

For the seventh letter of the password there are 74 options.

For the eighth letter of the password there are 74 options.

To get the number of the possible usernames we multiply the number of options for each letter: 74 x 74 x 74 x 74 x 74 x 74 x 74 x 74 =74^8=899194740203776

ii) If letter cannot be repeated.

For the first letter of the password there are 74 options.

For the second letter of the password there are only 73 options.

For the third letter of the password there are only 72 options.

For the fourth letter of the password there are only 71 options.

For the fifth letter of the password there are only 70 options.

For the sixth letter of the password there are only 69 options.

For the seventh letter of the password there are only 68 options.

For the eighth letter of the password there are only 67 options.

To get the number of the possible usernames we multiply the number of options for each letter: 74 x 73 x 72 x 71 x 70 x 69 x 68 x 67 =607681858331520

7 0

3 years ago

HELP NOW II WILL GIVE YOU 30 POINTS

Alex

Answer:

1; -11+ 26 =15

2: 2- (-3) =5

3: 10+ (-4) = 7

4: 11 + -8 =3

5: -2 + 3 =1

6: 8 - 12 = -4

Step-by-step explanation:

5 0

3 years ago