What property is used to transform the equation x-2y=14 into -3x+6y=-42

Answers

Answer 1
distributive property, in this case it would be -3(x-2y=14), -3 is what was multiplied to get your answer of -3x+6y=-42
Answer 2
The Distributive Property was used. 
To get from equation 1 to equation 2, everything in equation 1 was multiplied by -3.

Related Questions

Please help me with this

Answers

Area of the trapezoid:
[tex] \frac{12.8 + 4.2}{2} (4.9) = 41.65 cm^2[/tex]

Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2

Area of each quarter circle:
[tex] \frac{ \pi (3.1)^{2} }{4} = 7.54 cm^2[/tex]

We have two quarter circles:
7.54 + 7.54 = 15.08

41.65 + 13.02 + 15.08 = 69.75 cm^2

Which ordered pair is a solution of the equation 2x - 3y = 18?

Answers

Not sure if this is one of the answer choices but (0,-6) would work. If this was helpful I would really appreciate brainliest. 
I attached a screenshot of the question along with the given choices.

Answer:
(3,-4)

Explanation:
The easiest way to solve this question is to use each of the given order pairs, substitute with them in the equation and check whether the equation is satisfied or not.

The given equation is:
2x - 3y = 18

1- For (0,8):
2(0) - 3(8) = -24 .....> not equal to 18 .....> wrong choice

2- For (2,5):
2(2) - 3(5) = -11 .....> not equal to 18 .....> wrong choice

3- For (3,-4):
2(3) - 3(-4) = 18 .....> equal to 18 ......> correct choice

4- For (6,2):
2(6) - 3(2) = 6 .....> not equal to 18 ......> wrong choice

Based on the above, the correct choice is (3,-4)

Hope this helps :)

can yall help me with this tell me your answer step by step plz

Answers

he will have 30 % in 2 years which is 30.00 dollars

Answer:

What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?

Answer is B or # 2

The graph touches, but does not cross, the x–axis at x =    ⇒ 4.

The graph of the function crosses the x–axis at x =  ⇒ 0

Step-by-step explanation:

Brett colors 25% of the total shapes on his paper he colors 6 shapes enter the total number of shapes on bretts paper

Answers

24 because if 6 is 25%, 25% is 1/4 of 100 so you have to multiply 25 and 6 by 4 to get 24=100% 

Based on the information given the total number of shapes on bretts paper is 24 shapes.

Using this formula

Total number of shapes=Number of shapes/Percentage of total sales

Where:

Number of shapes=6

Percentage of total sales=25% or .25

Let plug in the formula

Total number of shapes=6/.25

Total number of shapes=24 shapes

Inconclusion the total number of shapes on bretts paper is 24 shapes.

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Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are the odds against the next car leaving the lot being black?

Answers

The odds against the next car leaving the parking lot being black are calculated by finding the number of black cars (6) and using the formula (Total cars - Black cars) : Black cars, which results in odds of 14:3.

To answer the question regarding the odds against the next car leaving the parking lot being black, we need to calculate the number of black cars and then the odds.

There are a total of 34 cars in the lot, with 20 green and 8 gold, so the rest are black.

To find the number of black cars, subtract the number of green and gold cars from the total:
34 (total cars) - 20 (green cars) - 8 (gold cars) = 6 (black cars).

The odds in favor of an event are the ratio of the probability of the event happening to the probability of it not happening. Therefore, the odds against an event are just the opposite -- the ratio of the probability of the event not happening to the probability of it happening.

To calculate the odds against picking a black car, we use this ratio:
Odds against a black car = (Total cars - Black cars) : Black cars
Odds against a black car = (34 - 6) : 6
Odds against a black car = 28 : 6
Odds against a black car = 14 : 3.

So, the odds against the next car leaving the lot being black are 14:3.

Find the final cost to the employer.
Original price: $129.00
Employee discount: 20%
Sale discount: 30%
Sales tax: 5%
a.$75.85
b.$70.95
c.$68.63
d.$67.72
e.$61.28



Answers

The correct answer is A) $75.85.

A discount of 20% means that the cost is 80% of the original.  80%=80/100=0.8

0.8(129) = 103.20

A discount of 30% means that the cost is 70% of the amount before discount.  70%=70/100=0.7
0.7(103.20) = 72.24

A sales tax of 5% means that it is 105% of the amount pre-tax.  105%=105/100=1.05
1.05(72.24) ≈ 75.85

A plane is flying at an altitude of 12,000 meters. From the pilot the angle of depression to the airport is 32. How far is the tower from a point directly beneath the plane?

Answers

76 METERS APART FROM THE AIRPORT

Student Stars Mazie 7 Chris 4 Jenni -3 Scott 0 Michael 2 Zoe 4 Liza -5 Thomas -1 Benjamin 6 Josie 1 Chase 8 David -4 Students in Mr. Miller's class gain and lose stars for behavior during the day. At the end of the week, any students with a negative star value must stay for detention. According to the chart who must serve detention?

Answers

The students with negative star values are Jenni, Liza, Thomas, and David. Therefore, these four students must serve detention.

A tree cast a 24 foot shadow. A 5 foot person cast an 8 foot shadow. How tall is the tree ?

Answers

5/8:x/48=
8x=240=30 ft
5•24=120
8x=120
X= 15

Which word fits in both sentences

after your brother asked a simple question why did you ____ at him?

I made a ____ decision that I regretted later.

A) shout
B) sudden
C) easy
D) snap

Answers

The answer is D) Snap
The correct Answer is Snap

after your brother asked a simple question why did you Snap at him? 

I made a Snap decision that I regretted later.

for questions 1 - 2, what are the excluded functions of the function?
1.) y= 4/9x-45
2.) y= 7/2x+48

Answers


1.) Function of x.[tex]f (x) = \frac{4x}{9} -45[/tex]
     Function of y.[tex]f (y) = \frac{405}{4} + \frac{9y}{4} [/tex]
2.)Function of y.[tex]f (y)= \frac{7}{2(y-48)} [/tex]
    Function of x.[tex]f (x) = \frac{7}{2x} + 48[/tex]

Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!

Answers

Part 1:
 
The parimeter of the square by definition is given by:
 P = 4L
 Substituting values:
 P = 4 (2x + 4)
 Rewriting we have:
 P = 8x + 16

 Part 2:
 For x = 5 we have:
 P = 8 (5) + 16
 P = 40 + 16
 P = 56

 
Part 3:
 
The area of the square is:
 A = L ^ 2
 Substituting values:
 A = (2x + 4) ^ 2
 For x = 3 we have:
 A = (2 (3) + 4) ^ 2
 A = (6 + 4) ^ 2
 A = (10) ^ 2
 A = 100

A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much will be in the account after a year?

Answers

Equation:
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480


Select the measures that are equal
6 feet 15 yards 45 feet 600 inches 12 feet 640 inches

Answers

To solve such problems, we need to know about Units conversion.

Units conversion

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

though the real measurement is still the same the units and numerical values have been changed.

Common Unit Conversion

1 yard = 36 inches,

1 foot = 12 inches,

Given to us,

6 feet, 15 yards, 45 feet, 600 inches, 12 feet, 640 inches

Converting the units to inches,

1 foot = 12 inches,

6 feet = 6 x 12 = 72 inches,

45 feet = 45 x 12 = 540 inches,

12 feet = 12 x 12 = 144 inches,

1 yard = 36 inches,

15 yards = 15 x 36 = 540 inches,

As we can see above the value of 15 yards and 45 feet are equal to 540 inches, therefore, equal to each other.

Learn more about Units conversion:

https://brainly.com/question/4736731

for a company outing employees voted their preferences of bowling a movie or a baseball game seventy percent which is 56 employees voted for the movie. what is the total number of employees who voted?

Answers

It would be 42 because 75 % of 56 is 42.
hello there!!
welcome to my world where answers grow on trees!
if u want the answer to this question and more... come to ME!!
ull find ur self the brainliest that ill give u plus many thanks and rates to amazing people like u!!
lol I made that poem up anyways ur answer would be 42
hope I helped BRAINLIEST??

Please write an equation for the problem below! NEED ASAP

Anna is in a phone booth with $1.35 in change. a call home costs 60 cents for the first five minutes and 15 cents for each additional minute. How long can she talk?

Answers

for 10 minutes, if she has 5 minutes to talk we would subtract 60 cents from 1.35 leaving us with 75 cents, so that could be split up into 15 cents 5 times making it 5 more minutes. so she can talk for 10 minutes
I believe she can talk for 11 min bc 60.0 times 2 is 1.20 and when u add 15.0 you get 1.35

Camryn practice the trumpet every 11th superscript day and the flute every 3rd superscript day.camryn practiced both the trumpet and the flute today. How many days until camryn practices the trumpet and flute again in the same day?

Answers

To fine when Camryn will practice both the trumpet in the flute again, you will list the multiples of 11 and 3 in order to find the least common multiple.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

11, 22, 33

They both will happen on the 33rd day, so Camryn will have both lessons again in 33 days.

Find the area of the shaded region. Use 3.14 for pi. Do not round. Use a calculator. Number 20 and 21. Ty.

Answers

20. square-10+10=20x2=400m^2
circle- 3.14x10^2=3.14x100=314
400-314=86
86m^2

21.
i don't get 21 sorry

The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.

Answers

so we just need to plug in our values and solve
[tex]v = 20 \sqrt{273 + t} [/tex]
we are given v is 369 so we have
[tex]369 = 20 \sqrt{273 + x} [/tex]
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
[tex]369 = 20 \sqrt{273 + x} \\ 18.45 = \sqrt{273 + x} \\ 340.40 = 273 + x \\ x = 67.4[/tex]
so a temp of about 67 degrees C

Answer:

The velocity of sound in air is 369 meters per second at 67 degrees Celcius.

Step-by-step explanation:

The veloctiy of sound in air is given by the equation

[tex]v=20\sqrt{273+t}[/tex]

where v is the velocity in meters per second and t is the temperature in degrees Celcius.

We need find the temperature when the velocity of sound in air is 369 meters per second.

Substitute v=369 in the give equation.

[tex]369=20\sqrt{273+t}[/tex]

Divide both sides by 20.

[tex]\frac{369}{20}=\sqrt{273+t}[/tex]

[tex]18.45=\sqrt{273+t}[/tex]

Taking square both the sides.

[tex](18.45)^2=273+t[/tex]

[tex]340.4025=273+t[/tex]

Subtract 273 from both the sides.

[tex]340.4025-273=t[/tex]

[tex]67.4025=t[/tex]

[tex]t\approx 67[/tex]

Therefore the velocity of sound in air is 369 meters per second at 67 degrees Celcius.

What is the square root of 18y over 36y to the third power? - I need to show work!

Answers

[tex]\sqrt{\dfrac{18y}{36y^3}}=\sqrt{\dfrac{18y}{18y\cdot2y^2}}=\sqrt{\dfrac{1}{2y^2}}=\dfrac{\sqrt1}{\sqrt{2y^2}}=\dfrac{1}{\sqrt2\cdot\sqrt{y^2}}=\dfrac{1}{y\sqrt2}[/tex]

[tex]\dfrac{1}{y\sqrt2}=\dfrac{1}{y\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2y}[/tex]

What type of triangle has 3 sides that are the same length?

Answers

an equilateral triangle.
The answer is an equilateral triangle.

An equilateral triangle is a triangle in which all 3 side lengths are the same.

Hope this helped☺☺

figure lmno is a rectangle. The slope of LM is -1/2. What are the slopes of MN and OL?

Answers

The slope would be 2 because the sides would have to be perpendicular to each other since it is a rectangle and to get the perpendicular slope, you get the opposite reciprocal of -1/2 which is 2. (drawing it out helps)

Answer:

The slopes of these other two segments would be 2.

Step-by-step explanation:

In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.

if 3x + y = k (x-3), then x =

Answers

Move all terms to the left side and set equal to zero. then set each factor equal to zero
X =[tex] \frac{3k+y}{k-3} [/tex]

one hundred grams of radium are stored in a container. The amount R of radium present after t years can modeled by R=10e^-0.00043t. After how many years will only 5 grams of radium be present? round your answer to the nearest whole year.

Answers

Final answer:

To determine after how many years only 5 grams of radium will be present, we use the decay equation [tex]R = 100e^{-0.00043t}[/tex] to solve for t when R equals 5 grams, yielding approximately 1,605 years.

Explanation:

To determine after how many years only 5 grams of radium will be present, we can use the provided equation for radioactive decay: R = [tex]100e^{-0.00043t}[/tex]. We need to solve for when R equals 5 grams. Here are the steps:

Set the equation equal to 5: [tex]5 = 100e^{-0.00043t}.[/tex]Divide both sides by 100: [tex]0.05 = e^{-0.00043t[/tex]}.Take the natural logarithm (ln) of both sides to solve for t: [tex]ln(0.05) = ln(e^{-0.00043t}) = -0.00043t.[/tex]Divide both sides by -0.00043 to isolate t: [tex]t = ln(0.05) / -0.00043.[/tex]Use a calculator to find the value of t: [tex]t \approx 1,605.11[/tex] years.Round to the nearest whole year: t ≈ 1,605 years.

After approximately 1,605 years, only 5 grams of radium will be present.

To find the time after which only 5 grams of radium remain, the exponential decay equation [tex]R = 10e^{-0.00043t[/tex] is solved using natural logarithms, yielding an approximate time of 1608 years.

To determine after how many years only 5 grams of radium will be present, we need to solve the exponential decay equation provided, R = [tex]10e^{-0.00043t[/tex], for t when R = 5 grams. We can do this using logarithms.

Set up the equation with R = 5: 5 = [tex]10e^{-0.00043t[/tex]

Divide both sides by 10 to isolate the exponential term: 0.5 = [tex]e^{-0.00043t[/tex]

Take the natural logarithm (ln) of both sides: ln(0.5) = ln([tex]e^{-0.00043t[/tex]), which simplifies to ln(0.5) = -0.00043t because the natural logarithm and the exponential function are inverses of each other.

Divide by -0.00043 to solve for t: t = ln(0.5) / -0.00043

Use a calculator to find the value of t: t ≈ 1608 years (rounded to the nearest whole year)

After approximately 1608 years, there will only be 5 grams of radium present in the container.

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Answers

We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = [tex] \sqrt{14400} [/tex] = 120 feet has the other dimension of the lot.
Final answer:

The other dimension of the rectangular lot is 120 feet.

Explanation:

In a rectangular lot, the diagonal forms a right triangle with the two sides of the rectangle. We can use the Pythagorean theorem to find the length of the other dimension of the lot.

Let's assume that the other dimension of the lot is x feet. The diagonal, which is 130 feet, is the hypotenuse of the right triangle. The two sides of the rectangle are 50 feet and x feet.

Using the Pythagorean theorem, we have:

x2 + 502 = 1302

x2 + 2500 = 16900

x2 = 14400

x = √14400 = 120

Therefore, the other dimension of the lot is 120 feet.

3h/h^2-12h+36 -18/h^2-12h+36

Answers

Since both fractions have the same denominator, we just need to subtract the numerators:
[tex] \frac{3h}{h^2-12h+36} - \frac{18}{h^2-12h+36} = \frac{3h-18}{h^2-12h+36} [/tex]

Notice that we have a common factor, 3, in the numerator, so lets factor that out:
[tex]\frac{3h-18}{h^2-12h+36}= \frac{3(h-6)}{h^2-12h+36} [/tex]

Next, we can factor the denominator:
[tex]\frac{3(h-6)}{h^2-12h+36} = \frac{3(h-6)}{(h-6)^2} [/tex]

Now we can cancel the common factor [tex]h-6[/tex] in both numerator and denominator:
[tex]\frac{3(h-6)}{(h-6)^2}= \frac{3}{h-6} [/tex]

We can conclude that the result of 3h/h^2-12h+36 -18/h^2-12h+36 is: [tex] \frac{3}{h-6} [/tex]
The equation: 3h/h^2-12h+36 -18/h^2-12h+36 have the same denominator, we will just subtract the numerators
3h/h^2-12h+36- 18/h^2-12h+36=3h-18/h^2-12h+36
Let us factor the common termsx(h-6)/h^2-12h+36= 3(h-6)/(h-6)^2
So since h-6 are similar, we can cancel the numerator and cancel 1 term in the denominatorso,3(h-6)/(h-6)^2=3/h-6
SO the answer of 3h/h^2-12h+36 -18/h^2-12h+36  is 3/h-6

This room has an oil stain on the floor. Tyler wants to rotate the rug so that it covers the stain. What kind of rotation should be performed on the kite-shaped rug? Be sure to specify the center of rotation and the direction (clockwise or counter-clockwise).

Answers

It needs to be turned 90 degrees to the right

Answer:

Rotate clockwise around right most point.

Step-by-step explanation:

We are given that,

The room has an oil stain as shown in the graph.

It is required to rotate the kite figure to fully cover the stain.

So, we get,

If we rotate the figure clockwise, it will completely cover the stain.

Moreover, the figure should be rotated around the right most point clockwise, which will become the center of rotation.

A newspaper article about an opinion poll says that 43% of Americans approve of the president's overall job performance." Toward the end of the article, you read: The poll is based on telephone interviews with 1210 adults from around the United States, excluding Alaska and Hawaii." What variable did this poll measure? What population do you think the newspaper wants information about? What was the sample? Are there any sources of bias in the sampling method used?

Answers

Answer:

Can you space it out a bit more to understand better.

Step-by-step explanation:

PLZ HELP!!! 50 POINTS!!!!
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

cos(x) = 15/29

x = arccos(15/29) = 58.85 degrees (2 d.p.)
cos (x) = 15/29
x = 58.86

hope it helps

find the value of sin2a, if tana=-12/5 in the fourth quadrant

Answers

[tex]\tan a=-\dfrac{12}5[/tex]

Recall the following identities:

[tex]1+\tan^2a=\sec^2a=\dfrac1{\cos^2a}[/tex]
[tex]\cos^2a=\dfrac{1+\cos2a}a[/tex]

from which we get

[tex]1+\left(-\dfrac{12}5\right)^2=\dfrac1{\cos^2a}[/tex]
[tex]\implies\cos^2a=\dfrac{25}{169}[/tex]

Since [tex]a[/tex] is in the fourth quadrant [tex]\left(\dfrac{3\pi}2<a<2\pi\right)[/tex] we know that [tex]\cos a[/tex] should be positive, so when we take the square root here, we should take the positive root.

[tex]\implies\cos a=\sqrt{\dfrac{25}{169}}=\dfrac5{13}[/tex]

Now recall that

[tex]\cos^2a+\sin^2a=1[/tex]

and since [tex]a[/tex] is in the fourth quadrant, we expect [tex]\sin a[/tex] to be negative. So,

[tex]\sin^2a=1-\cos^2a=\dfrac{144}{169}\implies\sin a=-\sqrt{\dfrac{144}{169}}=-\dfrac{12}{13}[/tex]

One final identity:

[tex]\sin2a=2\sin a\cos a[/tex]

from which we get

[tex]\sin2a=2\cdot\left(-\dfrac{12}{13}\right)\cdot\dfrac5{13}=-\dfrac{120}{169}[/tex]
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