4. What is the prime factorization of 610?​

Scale factor 1.25 is an expansion since we 'enlarge' the original size 1.25 times

Scale factor 3 is an expansion since we 'enlarge' the original size by 3 times

Scale factor -2 is also an expansion since we 'enlarge' the original size by 2 times but on the opposite direction of the centre of enlargement

Scale factor 3/4 is a contraction since we make the original size 'smaller' by 0.75 times

Scale factor 1/5 is also a contraction since we make the original size 'smaller' by 0.20 times

Literally, contraction means to reduce; while expansion means to increase.

The following absolute value inequalities are used to determine if a scale factor (k) is an expansion or a contraction.

So, we have:

The absolute value of 1.25, -2 and 3 are greater than 1. i.e.

[tex]|1.25| > 1[/tex]

Remove absolute brackets

[tex]1.25 > 1[/tex]

[tex]|-2| > 1[/tex]

Remove absolute brackets

[tex]2 > 1[/tex]

[tex]|3| > 1[/tex]

Remove absolute brackets

[tex]3 > 1[/tex]

Hence, 1.25, -2 and 3 are all expansion scale ratios

The absolute value of 3/4 and 1/5 are between 0 and 1. i.e.

[tex]0 > |3/4| > 1[/tex]

[tex]0 > |0.75 | > 1[/tex]

Remove absolute brackets

[tex]0 > 0.75 > 1[/tex]

[tex]0 > |1/5| > 1[/tex]

[tex]0 > |0.2| > 1[/tex]

Remove absolute brackets

[tex]0 > 0.2 > 1[/tex]

Hence, 3/4 and 1/5 are all contraction scale ratios

Read more about scale ratios at:

https://brainly.com/question/16713785

Steps to solve:

3(5 - x) > -15

~Distribute

15 - 3x > -15

~Subtract 15 to both sides

-3x > -30

~Divide -3 to both sides

x < 10

Best of Luck!

Answer:

241

Step-by-step explanation:

6⋅3−^2 −3^4 ⋅9+4^0

256-10-15/3

=256-10-5        

=246-5

=241

*the box plots are shown in the attachment below.

Answer:

The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.

Step-by-step explanation:

Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.

The median hours for school 1 = 8

The median hours for school = 9

Interquartile range on a box plot is the range of the rectangular box.

Interquartile range for school 1 = 10 - 4 = 6

Interquartile range for school 2 = 12 - 6 = 6

Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).

It is also true that the jnterquartile range for school 1 and school tok are also equal (6).

Answer:

102 sq. ft.

Step-by-step explanation:

In order to find the side lengths, we divide 1604 by 2. Since it's a square, each side is the same length. Area is length times width so we only need two sides.

1604÷2=102

Answer:

round

Step-by-step explanation:

hope I helped

Answer:

its B

Step-by-step explanation:

Answer:

45 yrs old

Step-by-step explanation:

x + 3 = 4(x - 33)

:x + 3 = 4(x) - 132

Add 132 and minus x on both sides of equation

then: 135 = 3(x)

Answer:

Present age of Dianna is 45 years old

Step-by-step explanation:

Let "x" be the present age of Dianna

Given that, In 3 years, Dianna will be 4 times as old as she  was 33 years ago

Then: In three years time Diana’s age would be x + 3

And: thirty three years ago it would have been x - 33

From given question,

x + 3 = 4 times as old as she  was 33 years ago

x + 3 = 4(x - 33)

x + 3 = 4x - 132

x - 4x = -132 - 3

-3x = -135

x = 45

Thus present age of Dianna is 45 years old

Answer:

the domain of the relation is C

The domain of the given graph is -4≤x≤6. Therefore, the correct answer is option C.

From the given graph, extremes of line graph are (6, 4) and (-4, -4).

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

Here, the domain of the graph is -4≤x≤6

The range of the graph is -4≤x≤4

Therefore, the correct answer is option C.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ4

Answer:

Step-by-step explanation:

you want to use PEMDAS which is parenthesis exponents multiplication division addition subtraction and work your way from left to right. so 15+42=57 and then 24-9=15 and 81-15=66 hope this helped :)

Her grandfather deposits $28,680 on Dolores's eighteenth birthday.

What is a deposit?

A deposit is an amount of money that is placed into an account, typically a savings or checking account, with a financial institution such as a bank or credit union. The money deposited is held by the institution and can be withdrawn at a later time. Deposits can also refer to the act of putting money into an account.

In your example, on Dolores's tenth birthday her grandfather deposited $35 in a savings account for her. Each year, her grandfather deposited twice the amount of the previous year's deposit. On Dolores's eleventh birthday, the deposit was 352 = $70. The deposit for twelfth birthday was 702 = $140. Similarly, on Dolores's 18th birthday, the deposit was 35*2^8 = $28,680.

Hence, her grandfather deposits $28,680 on Dolores's eighteenth birthday.

To learn more about the deposit, visit:

https://brainly.com/question/25787382

#SPJ1

Answer:

3,000 viewers each month.

Step-by-step explanation:

1. they lost the same amount each month, which means you can divide the viewers lost by the number of months (3)

2. that would be 9,000/3

3. 3,000

4. You know you've got the right answer because this would multiply back to 9,000 with the same amount of viewers lost every month.

Answer:

-8

Step-by-step explanation:

THANKS

Hey there! I'm happy to help!

We have twice the number.

2n

We want the sum of that and 13. Sum means to add.

2n+13

And this is 75.

Equation: 2n+13=75

We subtract 13 from both sides.

2n=62

We divide both sides by 2.

n=31

Have a wonderful day! :D

An equation is formed of two equal expressions. The value of n is 31.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the sum of twice a number and 13 is 75. Therefore, the equation for this situation can be written as,

[tex]2n+13 = 75[/tex]

Solving the above equation for n we will get,

[tex]2n+13 = 75\\\\2n = 75 -13\\\\2n= 62\\\\n = \dfrac{62}{2} \\\\n= 31[/tex]

Hence, the value of n is 31.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

Step-by-step explanation:

7.4×10^(-8) - 6.7×10^(-9) = 6.73×10^-8 is 9.05405% smaller than 7.4×10^(-8) = 7.4×10^-8

Answer:

x=5.3

Step-by-step explanation:

.3(5x-1.5)=7.5

1.5x-.45=7.5

1.5x=7.95

x=5.3

Answer: m = 10 h

Step-by-step explanation: i did the test too

The Equation for Rachel Earning is m = 10h.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the graph we take two points (4, 35) and (5, 45).

So, the slope is

= (45 - 35) / (5-4)

= 10 /1

= 10

let Rachel work for h hours then Rachel earned

m = 10h

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

Answer:

[tex](x-3)^2=5[/tex]

Step-by-step explanation:

[tex]x^2-4x+4=2x[/tex]

[tex]x^2-4x+4-2x=2x-2x[/tex]

[tex]x^2-6x+4=0[/tex]

[tex]x^2-6x=-4[/tex]

[tex]x^2-6x+9=-4+9[/tex]

[tex](x-3)^2=5[/tex]

Solving:

[tex]x-3=\pm \sqrt{5}[/tex]

[tex]x=3 \pm \sqrt{5}[/tex]

An equation is formed when two equal expressions. The equation by completing the square can be rewritten as (x-3)²=5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be rewritten in the equation form by completing the square as,

x² - 4x + 4 = 2x

Bring the like terms on the same side of the equation,

x² - 4x - 2x + 4 = 0

Simplify the like terms of the equation,

x² - 6x + 4 = 0

Add positive 5 to both sides of the equation,

x² - 6x + 4 + 5 = 5

Solve the like terms,

x² - 6x + 9 = 5

Using the binomial property (a-b)²=a²+b²-2ab, x² - 6x + 9 can be written as,

(x - 3)² = 5

Hence, the equation by completing the square can be rewritten as (x-3)²=5.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5

Answer:

x=200

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

200/5-30=10

Answer:

the answer you looking for is c

Step-by-step explanation:

because in new York there are not  any palm trees in  Massachusetts  either

Answer:

  1110.0 units

Step-by-step explanation:

The balance reading is the sum of the readings on each of the scales:

  100 +1000 +10 = 1110 . . .  units

Expressed to the nearest tenth, this is ...

  1110.0 units

(No units are shown on the balance scale, so we don't know if this is micrograms or tons or something in between.)

Answer: 78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Answer:

[tex](x \times 4) \times 2[/tex]

or

[tex]2(4x)[/tex]

The required problem can be stated as the sum of a number and 4 is 10.

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
To write a word a problem can be translated into the equation x + 4 = 10. So, the problem can be given as " the required problem can be stated as the sum of a number, and 4 is 10."

Thus, the required problem can be stated as the sum of a number, and 4 is 10.

Learn more about equations here:

brainly.com/question/10413253

#SPJ2

Answer:

x=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.1x+4.3=−7.7−3.9x

Answer:

x= -2

Step-by-step explanation:

Answer:

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

C

give brainliest pls

Step-by-step explanation:

5.25 is a positive number, 1.9 isn't, positive will always be higher than negative. example: -100 < 0.1 would work but  -100 > 0.1 would not