Solve each equation for x 3х- 12у= 27

Answers

Answer 1
Answer: x=4y+9

Explanation

Step 1: Add 12y to both sides

3x-12y+12y=27+12y

3x=12y+27

Step 2: Divide both sides by 3

3x/3=12y+27/3

x=4y+9

Related Questions

The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.
Both angles are acute.
The sum of the measures of the two angles is 75°.
The sum of the measures of the two angles is 155°.
One of the angles is a right angle.
The measure of neither angle is more than 75°.
The measures of the other angles must be 105° too.
The measure of one of the other angles equals 75°.
The measure of one of the other angles must be 45°.

Answers

Step-by-step explanation:

The sum of the measures of the two angles is 75° because of the sum of angles in a triangle which means that both angles are acute. This also means that the measure of neither angle is more than 75°.

Answer:

A, B, E

Step-by-step explanation:

both angles are acute

The sum of the measures of the two angles is 75°

The measure of neither angle is more than 75°

Please help! Correct answer only please! I need to finish this assignment by today.

Doug is birdwatching at the coast. He records each bird he sees.

What is the experimental probability that the next bird Doug sees will be a cormorant?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/2

Step-by-step explanation:

During his time bird watching, he sees 1+1+5+8+1=16 different birds in total. Out of those, 8 are cormorant, which means that the experimental probability that the next one is is 8/16=1/2. Hope this helps!

Question 2
Move point B some more. As you move point B, the angle formed between AB and CD varles. If you want to make AB perpendicular to CD
what do you need to do? Explain in terms of BEC

Answers

Answer: to make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90 degree

Step-by-step explanation:

which 3 sticks should he use (there’s a picture of the problem)

Answers

Answer:

The answer is number three

Step-by-step explanation:

I know this because the formula for pythageon theorm is.                         (A)squared + (B)squared = (C)squared so if you substitude the value of number three into the therom it would be equal to this 6x6+8x8=10x10

then if you simplify it would equal 36 + 64 = 100 and so this would satisfy the therom.

Help please: (n^4)^-3(n^4)^-1

Answers

Answer:

1/n^16

Step-by-step explanation:

Please help I’m really struggling with this

Answers

Answer:

[tex]y=\frac{1}{3} x+4[/tex]

Step-by-step explanation:

A linear equation is written as [tex]y=mx+b[/tex], "m" being the slope and "b" being the y-intercept.

The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.

The y-intercept is where the graph lands on the y-axis, which is 4.

y = 1/3x + 4

Step-by-step explanation:

y = ax + b

b = the intercept with the y-as.

In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).

So, b = 4

a = slope or incline.

To easilly find "a", you can follow these steps:

1. You choose two "nice" poins.

2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.

3. The fraction a = y units/x units

1. Choose two nice point

Starting from (0,4) and going to the next "nice" point for example (3, 5).

2. Horizontal 3 units to the right, and 1 unit up.

3. a = y units/x units

a = 1/3

y = 1/3x + 4

The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text.

Answers

Answer:1.8*10^-1

Step-by-step explanation:

Answer:     1.8 x 10^−1

Step-by-step explanation:

On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.

Answers

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:

[tex]12=a(8-5)^2+3[/tex] and

[tex]12=a(3)^2+3[/tex] and

[tex]12=9a+3[/tex] and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

[tex]y=1(x-5)^2+3[/tex]

Answer:

y =  1 (x +  -5 )2 + 3

Step-by-step explanation:

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?

Answers

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

Line segment OC splits AOB into two angles. Find AOC, if AOB = 155 degree, and m COB is 15 degrees less than m AOC.

Answers

Answer:

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. From the photo, lines AO, BO and CO meet at a common point O. Since angle AOB is 155 degrees and angle COB is 15 degrees lesser, then angle COB is

155 - 15 = 140 degrees

Recall, the sum of the angles at a point is 360 degrees. Therefore, the sum of the angles at point O is

Angle AOC + 140 + 155 = 360

Angle AOC + 295 = 360

Angle AOC = 360 - 295 = 65 degrees

Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body
processes 5% of the caffeine every hour, how much will be left in 8 hours?

Answers

The body uses 5%, so 95% of the previous amount is left every hour:

Total = start value x (1- %)^time

Total = 110 x(0.95)^8

Total left = 72.9762 milligrams

Round the answer as needed.

I need help please help me

Answers

Answer:

SSS

Step-by-step explanation:

ST = YA, SY = TA Given

AS = SA Reflexive property

ΔSTA ≅ ΔAYS SSS

3 x 4 x 5 x m x n = ???????

what does it equal???

Answers

3 x 4 x 5 x m x n = 60mn

The equivalent expression for the given expression is 60mn.

The given expression is 3×4×5×m×n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, 3×4×5×m×n = 60mn

Therefore, the equivalent expression for the given expression is 60mn.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ6

Expand and Simplify (x+7)(x+5)

Answers

Answer:

[tex]=x^2+12x+35[/tex]

Step-by-step explanation:

[tex]\left(x+7\right)\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=x,\:b=7,\:c=x,\:d=5\\=xx+x\cdot \:5+7x+7\cdot \:5\\=xx+5x+7x+7\cdot \:5\\=x^2+12x+35[/tex]

x^2+5x+7x+35
and then final simplified answer is going to be x^2+12x+35

Help pls :/.

The net of a triangular prism and its dimensions are shown. What is the total surface area, in square inches, of the triangular prism?

A) 240 sq inches
B) 120 sq inches
C) 96 sq inches
D) 24 sq inches

Answers

Answer:

120 sq inches

Step-by-step explanation:

I just did the quiz just now

What is the unit price for an ounce of coffee if a 120-ounce package costs $9.60?
answers

Answers

_______________________________

Hey!!

Solution,

cost of 120 ounce of coffee= $9.60

cost of an ounce of coffee= 9.60/120

=$ 0.08

Hope it helps

Good luck on your assignment

_____________________________

Answer:

So for an estimation my answer would be 0.08

Step-by-step explanation:

Do 9.60 divided by 120.

Hope this helps, have a good day! :)

(Picture of formula and work below)

Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)

Answers

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (9-6)/(-1- -9)

   = (9-6)/(-1+9)

    =3/8

The y intercept is found by

y = mx+b where m is the slope and b is the y intercept

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

m= (9-6)/(-1+9)= 3/8

y- intercept is:

6=3/8*(-9)+bb= 6+27/8= (48+27)/8= 75/8= 9 3/8

Part 3. Find the measure of the indicated angle to the nearest degree.​

Answers

Answer:

hope this helps you

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answers

Answer:

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

[tex]\frac{15x² + x + 2}{x²} = B

[tex]Base (B) = /frac{15x² + 1 + 2}{x}[/tex]

Answer: c

Step-by-step explanation:

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
How much juice do five bottles hold?
[tex]4 \frac{1}{2} litres[/tex]

Answers

Answer:

2[tex]\frac{1}{2}[/tex] litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres

5 juice bottles ===> x

∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]

x = [tex]\frac{5 * 4.5}{9} litres[/tex]

x = [tex]\frac{22.5}{9} litres[/tex]

x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres

Hope this helps!!!

Jada is solving the equation shown below.

Negative one-half (x + 4) = 6

Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).

Answers

Answer:

Distribute -1/2 over (x - 4)

Divide both sides of the equation by -2

The first step to begin to simplify the equation is to multiply both sides of the equation by -2

To find the first step to simplify the equation.

Given:

The given equation

=-1/2(x + 4) = 6

Simplification:

First, we will multiply both sides of the equation by -2

we get,

x + 4 = -12

x = -12-4 = -16

Hence, the value of x is -16.

Therefore, the first step is to multiply both sides of the equation by -2.

To learn how to find the first step to simplify the equation, refer:

https://brainly.com/question/4411741

#SPJ2

What is the range of the function f(x) = |x − 1| − 2? All real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2

Answers

Answer:

B.)

Step-by-step explanation:

Took test

Which pairs of angles in the figure below are vertical angles?

Answers

Step-by-step explanation:

Vertical angles are opposite angles formed by two intersecting lines.

The only lines that fully intersect are TSI and WSN.

Now find the opposite angles that are formed by the lines TSI and WSN.

Answer:

TSN ISW and ISN and TSW

Step-by-step explanation:


Plzzzz help fast !!


One month Chris Rented 3 movies and 2 video games for a total of $15 . the next month he rented 8 movies and 4 video games for a total of $33. find the rental cost for each movie and each video game

Answers

Answer:

Both are a total of $3

Step-by-step explanation:

Because if you add 3+2= 5 and then you divided; 15÷5= 3, then you add 8+4=12, and you do the same like the other; 33÷12= 2.75 and if you round it, the answer will be 3.

So in conclusion both the movies and the video games are $3

Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains 6.8 ounces of trail mix. Which bag contains more trail mix? Why?

Answers

Answer:

The smaller bag

Step-by-step explanation:

The smaller bag contains more trail mix.

This is because the quantity of trail mix in the smaller bag (6.8 ounces) is more than that in the larger bag (6.18 ounces).

This makes sense because we are not told the capacities of the bags, so, it is possible that both bags are able to contain much more than 6.8 ounces.

Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.)

Answers

Answer:

  {0, undefined}

Step-by-step explanation:

There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.

If 0 appears in the numerator, the value of the fraction is 0.

If 0 appears in the denominator, the value of the fraction is "undefined."

The only possible values of this fraction are {0, undefined}.

please help!!!!!!! just click on picture to see question

Answers

Answer:

g(n) = - 19 + (n - 1)*6

Step-by-step explanation:

The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.

g(1) = - 19

=============

g(2) = g(2 - 1) + 6

g(2) = g(1) + 6

g(2) = -19 + 6

g(2) = -13

=============

g(3) = g(2) + 6

g(3) = -13 + 6

g(3) = - 7

==========

g(4) = g(3) + 6

g(4) = - 7 + 6

g(4) = - 1

==========

g(5) = 5

g(6) =11

===========

Now the hard part. You have to start  with - 19

The nth term is g(n) = - 19 + (n - 1)*6

Now see if it works.

g(7) = - 19 + (7 - 1)*6

g(7) = - 19 + 6 * 6

g(7) = -19 + 36

g(7) = 17

Is that correct?

g(7) = g(n - 1) + 6

g(7) = g(6) + 6

g(7) = 11 + 6

g(7) = 17 Seems to be the same as the explicit formula gives.

6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
cost $30. Later, you bought 2 rolls of streamers and 4 balloons for $11. How much did
each roll of streamers cost? How much did each balloon cost?

Answers

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)

Answers

Answer:

20

Step-by-step explanation:

20 is your answer

If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L

Answers

Answer:

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Step-by-step explanation:

Explanation:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Final answer:-

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

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