Write and solve the sentence as an inequality.
A number minus 3 is less than -5.

Answer:

The correct option is;

30° - 60° - 90°

Step-by-step explanation:

Rotation is one of the three rigid transformation of which others are reflection and translation. In a rotation transformation of a figure about a fixed point, known as the center of rotation, the figure is turned in a circular path about the fixed point or center of rotation. The size and shape of the pre-image the rotation are the same however, depending on the angle of rotation, their facing directions may be different. The specification of a rotation can be in the clockwise direction or in the anti-clockwise direction

The shape of the triangle in the question and the image are the same and are therefore congruent. All interior angles of the triangle and those of its rotation will therefore be congruent.

Answer:

[tex]=-3tv^2[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt[3]{3t^4v^2}\sqrt[3]{-9t^{-1}v^4}[/tex]

To simplify, combine the two radicals. Since they have the same index, we can combine them. Thus:

[tex]=\sqrt[3]{(3t^4v^2)(-9t^{-1}v^4)}[/tex]

Combine like terms:

[tex]=\sqrt[3]{(3\cdot -9)(t^4\cdot t^{-1})(v^2\cdot v^4)}[/tex]

Multiply. When multiplying the exponents, simply add the exponents:

[tex]=\sqrt[3]{-27t^3v^6}[/tex]

Now, simplify. Note that -27 can be written as (-3)^3. t^3 can be written as (t)^3 and v^6 can be written as (v^2)^3. Thus:

[tex]=\sqrt[3]{(-3)^3(t)^3(z^2)^3}[/tex]

Combine them all under one exponent:

[tex]=\sqrt[3]{(-3tv^2)^3}[/tex]

Cancel out the cube root:

[tex]=-3tv^2[/tex]

And this is the simplest it can get.

And we are done :)

Edit: Typo

Answer:

-3v²t

Step-by-step explanation:

[tex]\sqrt[3]{3t^4v^2}  \sqrt[3]{-9t^-1v^4}[/tex]

= [tex]\sqrt[3]{3t} \sqrt[3]{v^2t} \sqrt[3]{-9v^4t^-1}[/tex]

= [tex]\sqrt[3]{3t} (-\sqrt[3]{9v^4/t)} \sqrt[3]{v^2t}[/tex]

= - [tex]\sqrt[3]{3t}  \sqrt[3]{v^2 9v^4/t}t[/tex]

= - [tex]\sqrt[3]{3}  \sqrt[3]{9t}  \sqrt[3]{v^6}[/tex]

= - [tex]\sqrt[3]{3*9}v^2t[/tex]

= - [tex]\sqrt[3]{27} v^2t[/tex]

= -3v²t

Answer:

3.25 pounds

Step-by-step explanation:

x + 4 (1/2) + 3 (1/2) = 11

x + 4.25 + 3.5 = 11

x + 7.75 = 11

x = 11 - 7.75

x = 3.25 pounds

Answer:

Step-by-step explanation:

5x-4+7x-8=180

12x-12=180

12x=192

x = 16

5(16)-4= 80-4= 76 degrees

7(16)-8= 112-8= 104 degrees

9y  +  5 = 104

9y = 99

y = 11

9(11) + 5 = 99 + 5 = 104

Answer:

Domain: (-3, 1]

Range: [-4, 0)

Step-by-step explanation:

Domain is all the x-values that can be plugged into the graph.

Range is all y-values that are outputted from inputting x.

We can see that our x-values span from -3 to 1. Since -3 is open dot, it is not included. Brackets signify inclusion.

(-3, 1]

We can see that our y-values span from -4 to 0. Since when x = -3 is open dot, the output y = 0 is also not included.

[-4, 0)

Answer:

5 x + 2

Step-by-step explanation:

Answer:

y = (-1/5)x + 2

Step-by-step explanation:

A line perpendicular to y = 5x + 2 would have a flipped opposite slope. Note the slope in the slope-intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Flip the slope:

y = 5x + 2

y = (-1/5)x + 2

y = (-1/5)x + 2 is your answer.

~

Answer:

Step-by-step explanation:

Use FOIL method

[tex](\sqrt{2} -1)(2-\sqrt{2})= \sqrt{2}*2 -\sqrt{2}*\sqrt{2} -1*2-1*(-\sqrt{2})\\\\\\=2\sqrt{2} - 2 -2 +\sqrt{2}[/tex]

Combine like terms

[tex]=2\sqrt{2} +\sqrt{2} - 2 -2\\\\\\=(2+1)\sqrt{2} - 4\\\\\\=3\sqrt{2}-4[/tex]

[tex]\frac{4}{2-\sqrt{2}}+\frac{5}{\sqrt{2} -1}=\frac{4*(\sqrt{2} -1)}{(2-\sqrt{2})*(\sqrt{2} -1)}+\frac{5*(2-\sqrt{2})}{(\sqrt{2} -1)(2-\sqrt{2})}\\\\\\=\frac{4\sqrt{2}-4+10-5\sqrt{2}}{(\sqrt{2} -1)(2-\sqrt{2})}[/tex]

[tex]=\frac{4\sqrt{2}-5\sqrt{2}-4+10}{3\sqrt{2}-4}\\\\\\=\frac{(4-5)\sqrt{2}+6}{3\sqrt{2}-4}\\\\\\=\frac{-1\sqrt{2}+6}{3\sqrt{2}-4}[/tex]

Answer:

-5 belongs to the set of Integers, Rational numbers, and Real numbers.

Answer:

The difference between the two weekly salaries is $122

Step-by-step explanation:

One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week

The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:

$1242 - $1120 = $122

Answer:

x=0.0000−3.0000i

x=0.0000+3.0000i

Hoped I helped

Answer:

x  = 3√3 - 3

x  = -3√3 - 3

Step-by-step explanation:

(3+x)² + 9 = 36

(x + 3)² + 9 - 9 = 36 - 9

(x + 3)² = 27

x + 3 = 3√3

x + 3 = -3√3

therefore,

x  = 3√3 - 3

x  = -3√3 - 3

Answer:

(1 - 3 i)

Step-by-step explanation:

(4 + (2 * i)) + ((-3) - (5 * i)) =

Answer:

1-3i

Step-by-step explanation:

Answer:

-22 /3 + (-94/5)

-22/3 + -89/5

Step-by-step explanation:

-110/15 + - 257/15

-367/15

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

A multiple is a number that can be divided by that number with no remainder. For example, multiples of 5 are 5, 10, 15, and 20.

A multiple of 12 is basically 12 × (number of multiple), for example, if you want the second multiple of 12, you would multiply 2 by 12.

So multiply 12 by 1, 2, 3, 4, and 5.

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

The first five multiples of 12 are 12, 24, 36, 48, and 60.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

12,24,36,48, and 60

Answer: 11

Step-by-step explanation:

Given: Mr. Doss pulled out 16 negative counters and 27 positive counters.

In integers we use negative sign "-" to represent the negative quantities.

So, we can represent 16 negative counters as -16.

Now, combined value of the counters = (-16) + 27

= 27-16

= 11

Hence, the combined value of the counters is 11.

Answer: [tex]305[/tex]

Shown work is on the image below.

Answer:

x+14=-6

x= -6 - 14

x= - 20

Answer: 4x−2

Step-by-step explanation:

-2x+3-(5-6x) remove the parentheses

-2x+3-5+6x collect like terms

(−2x+6x)+(3−5) simplify to get 4x−2

Hope this helps, have a blessed and wonderful day! :-)

- Cutiepatutie

Answer:

4x - 2

Step-by-step explanation:

when there is a expression in parentheses, change the sign of each term in the expression

-2x + 3 - 5 + 6x

collect the like terms

-2x + 6x = 4x

3 - 5= -2

now put them together and you get

4x - 2

Answer:

[tex]m_1.m_2 = -1[/tex]

Step-by-step explanation:

Given

2 lines of same slope

A different perpendicular line

Required

Determine the relationship between the lines

We have that, line 1 and line 2 have the same slope;

Represent their slope with m₁

For the third line

Represent the slope with m₂

in coordinate geometry, the relationship between perpendicular line is

[tex]m_1.m_2 = -1[/tex]

Hence, the required relationship is [tex]m_1.m_2 = -1[/tex]

Answer:

The answer is 4.38.

Step-by-step explanation:

You take the experimental value and subtract the accepted value from it. then take that and divide it by the accepted value. When you get your you move the decimal point and round if needed.

Answer:

5 nights

Step-by-step explanation:

39 divided by 3 = 13

so we divided 65 by 13 hence your answer 5 nights

Answer:

5. Both M and N (but u just need to choose one)

6. K

7. You can choose (K,M,N) ; (J,L,M) ; (J,L,N) ; (M,N,L) ; (M,N,K)

8. Line JL or KL

A line segment is also a line but a line with finite length and has fixed endpoints. A point coplanar to point K is point M.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and has fixed endpoints.

The answers to the following questions can be given as shown below.

Hence, Another name for line JK is line KL or line JK.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

Answer:

$328.13

Step-by-step explanation:

First, find the amount of time she works every day.

Between 8:45 and 5:15, there are 8.5 hours.

Subtract 1 for her lunch break, so there are 7.5 hours worked every day

Then, calculate how much she gets every day:

7.5(8.75)

= $65.625

Multiply this by 5 to find her pay for the week:

65.625(5)

= $328.13 is her total pay for the week

The total pay for the week will be $318.75.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.

The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.

And the number of working days will be 5.

Then the total pay for the week will be

⇒ $8.75 x 5 x (8.5 - 1)

⇒ $8.75 x 5 x 7.5

⇒ $318.75

The total pay for the week will be $318.75.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

$ 5,500

Step-by-step explanation:

Simple, 1 kg = 1000 grams, so, 250 grams is a quarter, just divide the $22,000 by 4 = $ 5,500

Answer:

$5,600

Step-by-step explanation:

Answer:

t⁹

Step-by-step explanation:

Whenever you multiply the same base with 2 different exponents, you add the powers together.

t⁴(t⁵)

4 + 5 = 9

t⁹

Answer:

Hey there!

a^b(a^c)=a^b+c

t^4(t^5)=t^9.

Let me know if this helps :)

Answer:

Step-by-step explanation:

1.6(15x + 25)= -6x -5

Multiply the terms

That's

24x + 40 = - 6x - 5

Add 6x to both sides

24x + 6x + 40 = 6x - 6x - 5

30x + 40 = - 5

Subtract 40 from both sides

That's

30x + 40 - 40 = - 5 - 40

30x = - 45

Divide both sides by 30

We have the final answer as

Hope this helps you

Greetings from Brasil...

Isolating BT we get 36/7