Expand and simplify: (2x-3)2

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

Answer:

14

Step-by-step explanation:

4^2 - 2(1)

16-2= 14

I hope this helped <3

Answer:

14

Step-by-step explanation:

plug in the values for x and y

if x = 4 then we have 4²- 2y

then it also says y = 1 so we now have 4²- 2(1)

4 squared is 16 and 2 times 1 is 2  

16 - 2= 14

Answer: 8

Step-by-step explanation: Divide 224 by 28

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

To learn more about the GCD visit:

https://brainly.com/question/27227228.

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Answer:

2 feet

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

...

Answer:

The original cost is $130

Step-by-step explanation:

Step one:

given data

We are told that Rey paid $91 for a watch that was on sale for 30%

let the original cost be x

so that 30% off x= $91 --------not the word  OFF not OF

Required

the original cost x

Step two

hence

x- 30/100*x= 91

x-0.3x=91

0.7x= 91

divide both sides by 0.7

x= 91/0.7

x=$130

Answer:

135

Step-by-step explanation:

m(abc)= m(abd) +m(dbc) = 65+60 =135

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Answer:

3/-2 is = to 30 degrees so..

Step-by-step explanation:  w=34

V=21

Answer:

a is the right answer Congress passed the fair labor standards act to protect young workers

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

Answer:

9650

Step-by-step explanation:

Step-by-step explanation:

=(9.65×1000) grams

=9650grams

hope it helps.

Answer: $12.87

Step-by-step explanation:

You need to set up your equation. We are trying to find x.

Step 1:  [tex]\frac{x}{39} = \frac{33}{100}[/tex]

Step 2: Multiply across: 39 x 33 divided by 100.

39 x 33 = 1287

1287 divided by 100 = $12.87

Answer: $12.87

Answer: [tex]\sqrt{68}[/tex] units.

Step-by-step explanation:

The distance between points (a, b) and (c, d) is given by :_

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Given points : (-10,-7) (-8,1)

Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]

[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]

Hence, distance between given points = [tex]\sqrt{68}[/tex] units.

Answer:

51

Step-by-step explanation:

51×4=204

500-204=296

Answer:

(5,0)

Step-by-step explanation:

Answer:

hello there mate

Step-by-step explanation:

Answer: It may possibly be SU

Step-by-step explanation:

Answer:

SU

Step-by-step explanation:

The triangles are reflections of each other (the same but mirrored).

So if you trace a line from point D to F, and do the mirrored motion on the other triangle, you get SU

Answer:

10

Step-by-step explanation:

I think I don’t evenknow !

Answer:

x=-3/2y+2

y= y=−3x+6

Step-by-step explanation:

solve for x.

2x+3y=4

Add -3y to both sides.

2x+3y+−3y=4+−3y

2x=−3y+4

Divide both sides by 2.

2x/2= -3+4/2

x= -3/2 y+2

solve for y.

y+3x=6

Add -3x to both sides.

3x+y+−3x=6+−3x

y=−3x+6

Answer:

its A

Step-by-step explanation:

hope this helps

Answer: C

Step-by-step explanation:

I assume you mean c to the power 5, c to the power 3, and c to the power 3. Well, c^5xc^3xc^3 is c^11. Here's why. When multiple terms that have exponents in them and have the same base are multiplied, you just have to add the exponents. Here's the logic behind this (I'm using another example). If you have 6^3x6^5, your answer will be 6^8 because this can be rewritten as (6x6x6)x(6x6x6x6x6). This is the same thing as 6^8. So, I hope this made sense and your answer will be c.

The requried, simplified expression of  [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex]. Option C is correct.

When we have a multiplication of powers with the same base, we can apply the rule of exponents that states: when multiplying powers with the same base, we add their exponents.

In this case, the base is 'c', and we have three terms: c^5, c^3, and c^3. To simplify the expression, we add the exponents:

[tex]c^5 * c^3 * c^3 = c^{5+3+3} = c^{11}[/tex]

So, the simplified form of the expression [tex]c^5 * c^3 * c^3[/tex] is [tex]c^{11}[/tex].

In option b) [tex]3c^{11}[/tex], the coefficient of '3' indicates that we have three terms of [tex]c^{11}[/tex], which is not the case in the original expression.

Therefore, the correct answer is c) [tex]c^{11}[/tex], as we simplified the expression to a single term with the base 'c' raised to the power of 11.

Learn more about simplification here:

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Answer:

raise a product to a power.

you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.

i suck at explaining, but after the first step the expression looks like:

[tex](\frac{8r^{6}t^{3} }{4t^{2} })^{2}[/tex]

Step-by-step explanation:

The answer is 4.2

The 9 is above 5 so it raises the one

Answer:

28°

Step-by-step explanation:

..... ....... ..... ...

Answer:

Write 50% as a decimal number:  

STEP 2: Multiply  by 90.94:

Step-by-step explanation: answer is 49.47

Answer:

45.47$

Step-by-step explanation:

50% means to cut things off by half

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

Answer:

Step-by-step explanation:

The sum of 2 numbers is 49

x  +  y = 49

The second number is 15 less than the first number.

y = x - 15