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Tatiana [17]
2 years ago
13

Please help me

Mathematics
2 answers:
Anna007 [38]2 years ago
6 0

Answer:

Let the number be x

According to given conditions,

3 + 2x = 4x - 7

3 + 7 = 4x - 2x

10 = 2x

2x = 10

•°• x = 10/2

•°• x = 5

The number is 5.

lisabon 2012 [21]2 years ago
3 0

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

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Suppose A is a matrix and k is a positive integer. What does the notation Ak mean?
Butoxors [25]

Answer:

Scalar product

Step-by-step explanation:

The scalar product of a matrix refers to the product of a matrix and a number. The scalar is used to multiply each element in the matrix to get the final vector. In the question the scalar is k which is a constant and the matrix is A.

in the example below 2 is the scalar

2*\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]

the final matrix will be

\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right]

7 0
3 years ago
jose invests money in two simple interests account. he invests twice as much in an account paying 13% as he does in an account p
d1i1m1o1n [39]

Answer:

He invested altogether $900

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Jose invests money in two simple interests account

- He invests twice as much in an account paying 13% as he does in

 an account paying 5%

- That means the amount he invested in the account paying 13% is

  twice the amount he invested in the account paying 5%

- He earns $93.00 in interest in one year from both accounts combined

- We need to find how much he invested in each account

- Assume that he invested $x in the account paying 5%

∵ He invested twice as much in an account paying 13% as he does in

   an account paying 5%

∴ He invested $2x in the account paying 13%

- The simple interest <em>I = PRT</em>, where P is the money invested, R is the

  rate of interest in decimal and t is the time of investment

# <u><em>Account paying 13%</em></u>

∵ P = 2x , R = 13/100 = 0.13 , T = 1

∴ I = 2x(0.13)(1)

∴ I = 0.26 x ⇒ (1)

# <u><em>Account paying 5%</em></u>

∵ P = x , R = 5/100 = 0.05 , T = 1

∴ I = x(0.05)(1)

∴ I = 0.05 x ⇒ (2)

∵ He earns $93.00 in interest in one year from both accounts

- Add (1) and (2) and equate the sum by 93.00

∴ 0.26 x + 0.05 x = 93.00

- Add like terms in the left hand side

∴ 0.31 x = 93.00

- Divide both sides by 0.31

∴ x = 300

∴ 2x = 2(300)

∴ 2x = 600

∵ x represents the amount of money invested in the account paying 5%

∴ <em>The amount of money invested in the account of 5% is $300</em>

∴ <em>The amount of money invested in the account of 13% is $600</em>

- The total amount of money he invested is the sum of the money

  he invested in each account [$300 + $600 = $900]

∴ He invested altogether $900

7 0
3 years ago
ATM personal identification number (PIN) codes typically consist of four-digit sequences of numbers. Find the probability that i
oksian1 [2.3K]

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

P=(\frac{1}{10})^4=0.0001=0.01\%

(b) when you recall the first two digits.

P=(\frac{1}{10})^2=0.01=1\%

7 0
3 years ago
Round 479.8983 to the nearest whole number:
Slav-nsk [51]
The answer to your question is 480

4 0
3 years ago
Read 2 more answers
8x+8(c+8)-6 show work its for my homework i get it but im just making sure i did it right:)
ioda
8x+8c+164-6
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7 0
3 years ago
Read 2 more answers
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