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3 years ago

A number is between 41 and 46 . it has prime factors of 2 and 11 what is the number

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

44 because it goes into 2 and also goes into 11

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1. Solve each system of linear equations below, then check your work.

Brut [27]

Answer:

$a) \: x = - 3 \: and \: y = 2 \\ b) \: x = 1 \: and \: y = - \frac{5}{4} \\ c) \: \: x = 25 \: and \: y = 0 \\ d ) \: x = 10 \: and \: y = - 12$

Step-by-step explanation:

$question (a) \: \: \: 3x - y = - 11 \\ \: \: \: - x + y = 5 \\ \\ 2x = - 6 \\ \frac{2}{2} x = \frac{ - 6}{2} \\ x = - 3$

$\\ since \: x = - 3 \: then \: y = \\ \\ - x + y = 5 \\ - ( - 3) + y = 5 \\ y = 5 - 3 \\ y = 2$

$\\ (check) \\ recall \: that \: x = - 3 \: and \: y = 2 \\ \\ - x + y = 5 \\ - ( - 3) + 2 = 5 \\ 3 + 2 = 5 \\ 5 = 5$

$question (b) \: \: \: -2y + 3 = 4x + 2 \\ 6x + 4y = 1 \\ \\ ( - 4x - 2y = - 1) \times 2 \\\: \: \: 6x + 4y = 1 \\ \\ - 8x - 4y = - 2 \\ 6x + 4y = 1 \\ \\ - 2x = - 2$

$\frac{ - 2}{ - 2} x = \frac{ - 2}{ - 2} \\ x = 1 \\ \\ since \: x = 1 \: then \: y = \\ \\ 6x + 4y = 1 \\ 6(1) + 4y = 1$

$4y = - 6 + 1 \\ \frac{4}{4} y = - \frac{ 5}{4} \\ y = - \frac{ 5}{4} \\ \\ (check) \\ - 2y + 3 = 4x + 2$

$- 2( - \frac{5}{4} ) + 3 = 4(1) + 2 \\ \frac{5}{2} + 3 = 6\\ 6 = 6$

$question (c) \: \: \: 32y - x = - 25 \\ \: \: \: 5x = 100 + x - 8y \\ \\ 32y - x = - 25 \\ 8y + 5x - x = 100 \\ \\ (32y - x = - 25) \times 4 \\ 8y + 4x = 100$

$128y - 4x = - 100 \\ 8y + 4x = 100 \\ 136y = 0 \\ y = 0 \\ \\ since \: y = 0 \: then \: x = \\ \\ 32y - x = - 25 \\ 32(0) - x = - 25 \\ - x = - 25 - 0 \\ \frac{ - 1}{ - 1} x = \frac{ - 25}{ - 1} \\ x = 25 \\$

$(check) \\ 5x = 100 + x - 8y \\ 5(25) = 100 + (25) - 8(0) \\ 125 = 125 - 0 \\ 125 = 125$

$question (d) \: \: \: 2y + 3x = 6 \\ \: \: \: 4x + 5y + 20 = 0 \\ \\ ( 2y + 3x = 6) \times 4 \\ (5y + 4x = - 20) \times - 3 \\ \\ 8y + 12x = 24 \\ - 15y - 12x = 60$

$- 7y = 84 \\ \frac{ - 7}{ - 7} y = \frac{84}{ - 7} \\ y = - 12 \\ \\ since \: y = - 12 \: then \: x = \\ \\ 2y + 3x = 6 \\ 2( - 12) + 3x = 6 \\ - 24 + 3x = 6 \\ 3x = 6 + 24 \\ x = 10 \\ \\ (check) \\ 4x + 5y + 20 = 0 \\$

$4(10) + 5( - 12) + 20 = 0 \\ 40 - 60 + 20 = 0 \\ - 20 + 20 = 0 \\ 0 = 0$

5 0

2 years ago

If the area of a square is 36 square unit what si the length of a side of the square

kodGreya [7K]

Answer:

The length of the square is 6 units.

Step-by-step explanation:

Given that all sides of the square are the same and the area of square formula is A = length×breadth. So let's make x as the sides :

$area = length \times breadth$

$let \: area = 36 \\ let \: sides \: = x$

$36 = x \times x$

${x}^{2} = 36$

$x = ± \sqrt{36}$

$x = 6 \: units$

$x = - 6 \: (rejected)$

6 0

3 years ago

Read 2 more answers

From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is

cestrela7 [59]

Answer: $\frac{15}{56}$

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways selecting 2 two people knowing Geroge will be the third one is

$^6C_2$ (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is $^8C_3$

Therefore the required Probability is $\frac{^6C_{2}}{^8C_{3}}$

= $\frac{15}{56}$

3 0

3 years ago

I'm emptying this account my new account has 2352 points

Fofino [41]

Answer:

An offer is a sign of their willingness to agree on certain terms from one person to another. If there is an express or implied agreement, a contract will then be formed. A contract is said to come into being when the acceptance of an offer has been told to the offeror by the offeree.

Thanks dear__!!

7 0

2 years ago

Read 2 more answers

Consider parallelogram WXYZ, where diagonal WY and XZ intersect at point Q. If WQ =8 and ZX = 20, which statement is true?

Alina [70]

Answer:

C) YQ = 8

Step-by-step explanation:

If WQ is 8 and XZ bisects this line, this means that YQ is also 8.

If this answer is correct, please make me Brainliest!

8 0

3 years ago

A number is between 41 and 46 . it has prime factors of 2 and 11 what is the number ​

A number is between 41 and 46 . it has prime factors of 2 and 11 what is the number