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(Variables on both sides of an equation)
Solve: 18x-5=3(6x-2)

Answers

Answer 1
Step 1: Simplify both sides of the equation.
18x−5=3(6x−2)18x+−5=(3)(6x)+(3)(−2)(Distribute)18x+−5=18x+−618x−5=18x−6Step 2: Subtract 18x from both sides.18x−5−18x=18x−6−18x−5=−6Step 3: Add 5 to both sides.−5+5=−6+50=−1Answer:There are no solutions.
Answer 2
18x - 5 = 3(6x-2)
Open parenthesis and distribute
18x - 5 = 18x - 6
Subtract both sides by 18x
-5 = -6
Since -5 does not equal -6, there is no value of x that will work in the equation.

Related Questions

How do you write this number in standard form

15,000+7000+400+9

Answers

I believe that the answer to your question is: 2.2409 x 10^4

Find the product.

-mnp(3m - 5n + 7p)

-3m + 5n^2+ 7p^2
3mnp - 5mnp + 7mnp
-3mnp + 5mnp - 7mnp
-3m^2np + 5mn^2p - 7mnp^2

Answers

-mnp(3m - 5n + 7p) =
-3m^2np + 5mn^2p - 7mnp^2 <==

please help me
An irregular polygon is shown below:

The area of the irregular polygon is ____ square units.

Answers

The area of the irregular polygon is 26 square units.

Answer:

26

Step-by-step explanation:

well we see that it is at its longest is 9, and the tallest is four

we have two missing sides...

so for the top left on long, it is 5

the full length is 9, and we have a 4 on the top, so we have 5 left, the top right line is 5

the one on the left side is two, because the middle line is a 2, and the full items height is 4.

4x2=8

2x2=4

5+9=14

8+4=12

14+12=26

Find two numbers whose product is 20 and whose sum is 12

Answers

10 * 2 = 20
2 + 10 = 12

Answer 2 and 10

The numbers are 10 and 2 if the product is 20 and whose sum is 12 after making the two equations.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The product of two numbers is 20 and whose sum is 12

Let the numbers are x and y

xy = 20

x + y = 12

y = 12 - x

x(12 - x) = 20

x² - 12x + 20 = 0

After solving the above quadratic equation, we get:

x = 10, 2

y = 2, 10

Thus, the numbers are 10 and 2 if the product is 20 and whose sum is 12 after making the two equations.

Learn more about the linear equation here:

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a jar of coins contains dimes pennies and quarters there are 88 pennies in a jar. There are 5 dimes for every 4 pennies and there are 7 quarters for every 11 dimes how many coins are in the jar? A 180 B 258 C 268 D 350

Answers

I think it is C 268.

Answer:

c 268

Step-by-step explanation:

i did the test on the home school time for learning

Solve for PQ 4x+19=2x+32

Answers

4x + 19 = 2x + 32

4x (- 2x) + 19 = 2x (- 2x) + 32

2x + 19 (-19) = 32 (-19)

2x = 13

2x/2 = 13/2

x = 13/2, or 6.5



hope this helps

I don't get how to do this please help

Answers

the answer is D

the exponent is 8.869 where the 9 is 9/1000, the 6 is 6/100 and the 8 to the right od the decimal point is 8/10

ITs C

if we convert the fractions to decimals we see that the exponent is
8 + .8 + .06 + .009  = 8.869

Select the postulate that is illustrated for the real numbers.

6 + 0 = 6

The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The additive identity postulate
The multiplication inverse

Answers

The answer is the additive identity postulate.

Answer:

The additive identity postulate

Step-by-step explanation:

6 + 0 = 6

Any number added with zero, we get the same number.

That is, a + 0 = a, where "a" is any real number.

Let's take a = 9, we get

9 + 0 = 9

Let's check out a few more examples:

-9 + 0 = -9

2/3 + 0 = 2/3

22 + 0 = 22

You can see any number added with 0, we get the same number.

Here 0 is additive identity, this is called additive identity postulate.

We are given 6 + 0 = 6 which illustrated by "The additive identity postulate."

Therefore, answer is "The additive identity postulate"

Find an equation for a line that passes through the point (0, –3) and parallel to another line whose slope is 1.2.

Answers

Parallel lines have the same slope, therefore the line we are looking for has a slope of 1.2.

y=1,2x+b

Now, we can plug in the point to solve for the intercept.
-3=1.2(0)+b
-3=0+b
b= -3

Finally, we can fill in the equation with all the information we've uncovered.
y=1.2x - 3

Final answer:

The equation of the line that passes through the point (0, -3) and is parallel to another line with a slope of 1.2 is y = 1.2x - 3.

Explanation:

To find an equation for a line that passes through the point (0, –3) and is parallel to another line with a slope of 1.2, we use the fact that parallel lines have the same slope. Since a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept, and we already know the slope (m = 1.2) and the y-intercept (b = -3, since the line passes through (0, -3)), our equation becomes:

y = 1.2x - 3

This means that any line parallel to one with a slope of 1.2 and passing through (0, -3) will also have a slope of 1.2, but the y-intercept will be unique to the point it passes through.

What transformation takes

f(x)=15x+3 to g(x)=5x+3 ?

Question 1 options:

a horizontal compression by a factor 1/3


a translation 6 units right


a horizontal stretch by a factor of 3


a translation 6 units down

Answers

We can see that 
[tex]5x + 3 = 15( \frac{1}{3} x) + 3 = f( \frac{1}{3} x)[/tex]

So [tex]g(x) = f( \frac{1}{3} x)[/tex]

When a function f(x) is transformed into f(ax) where |a| > 1, it's a horizontal compression by a factor of 1/a. But when a function f(x) is transformed into f(ax) where |a| < 1, it's a horizontal stretch by a factor of 1/a.

In this case, a = 1/3. So that's a horizontal stretch by a factor of 1/(1/3) = 3. Thus the answer choice is C. 
The transformation of f(x)=15x+3 to g(x)=5x+3 requires a horizontal compression by a factor of 1/3. f(x) has the has a y value of 18. g(x) has the y value of 8. Both lines share the x intersection of 3. When 15x is multiplied by 1/3, it becomes 5x, leaving g(x) with the same x intersection, but compressing the slope horizontally into a less steep line.

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is . Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (x – 1) Which of Talia’s steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio for the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answers

C - took the test on edgenuity

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The test that gives a list of the possible rational zeros of a polynomial function is called the test.

Answers

Answer:

rational zero

Step-by-step explanation:

Which system is represented by the graph?

a. y > 2x
x + 2y ≤ –8

b. y ≥ 2x
x + 2y < –8

c. y < 2x
x + 2y ≥ –8

d. y ≤ 2x
x + 2y > –8

Answers

Hi again!

The correct answer is option A

See the graph below

To determine the system of two inequalities which is represented by the graph, you have to do such steps:

1 step. The dashed blue line represents sign > or <. The line has the equation y=2x, then the inequality should be y>2x or y<2x. Since point (-1,1) belongs to the blue shaded region, then the inequallity y>2x is true.

2 step. The solid red line represents sign ≤ or ≥. The line has the equation x+2y=-8, then the inequality should be x+2y≤-8 or x+2y≥-8. Since the origin  (0,0) doesn't belong to the red shaded region, then the inequallity x+2y≤-8 is true.

Thus, the system is

[tex]\left\{\begin{array}{l}y>2x\\x+2y\le-8.\end{array}\right.[/tex]

Answer: correct choice is A.

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

2 + (-20) + 8.....when sea level is 0.

starting on a platform 2 ft above sea level....so it is 2
dive down 20 ft....so this is below sea level...so it is -20
rise 8 ft...so it is 8

so ur answer is : 2nd answer choice

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (–20) + 8

positive number is the feet above the sea level

negative number is the feet below the sea level (deep)

starting at 2 , 2 feet above sea level then down the sea 20 feet down,

finally rise 8 feet above the sea level

So, Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.

Eighteen cement squares cover a patio with an area of 40.5m^2. What is the side length of one of the squares

Answers

Final answer:

The side length of each of the cement squares is 1.5m. This is calculated by dividing the total area by the number of squares to find the area of each square, and then taking the square root to find the side length.

Explanation:

To solve this question, we need to first understand that the total area of the patio equals the sum of the areas of each individual cement square. There are eighteen squares, and the total area is 40.5 square meters. This means that the area of one cement square can be acquired by dividing the total area by the quantity of the squares.

So, the calculation would be 40.5m² / 18, giving us an area of 2.25m² for each square.
Now, since these are squares and all sides of a square are equal, their area is represented by the square of one side length. Therefore, to get the length of one side, we extract the square root of the area.

The calculation is √2.25, which equals 1.5. So, the side length of one of the cement squares is 1.5m.

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Solve the system:
p-3q=-1
-5p+16q=5
a. (2,1)
b.(3,3)
c. (-1,0)
d.(5,2)

Answers

it is c. hope this helps (:

Answer:  The correct option is

(c) (-1, 0).

Step-by-step explanation:  We are given to solve the following system of equations :

[tex]p-3q=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-5p+16q=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

From equation (i), we have

[tex]p-3q=-1\\\\\Rightarrow p=3q-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]

Substituting the value of p from equation (iii) in equation (ii), we get

[tex]-5(3q-1)+16q=5\\\\\Rightarrow -15q+5+16q=5\\\\\Rightarrow q=5-5\\\\\Rightarrow q=0.[/tex]

From equation (i), we get

[tex]p=3\times0-1=-1.[/tex]

Thus, the required solution is (p, q) = (-1, 0).

Option (c) is CORRECT.

Each exterior angle of an equilateral triangle has which measure?

Answers

Answer:

60 degrees

Step-by-step explanation:

Please help ;-;!!
Math Algebra
(Image)

Answers

x + y < 1
y < -x + 1......this is a dashed line....it has a slope of -1 and a y int of (0,1)...it is shaded below the line

2y > = x - 4
y > = 1/2x - 2....this is a solid line...it has a slope of 1/2 and a y int of (0,-2)..it is shaded above the line

ur graph is : the top right one

What number gives you the same result when multiplied by 6 as it does when 6 is added to it?

Answers

Let x be the number.

Then:

6x = x+6
6x–x = 6
5x= 6
x = 6/5

Checking this through a calculator, both times, the solution for 6/5 is 7.2

Hope I helped :)

What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?

Answers

For 4y, I believe the coordinates are (4,6) and the coordinates for 2x are (2,12). This is my best guess. Let me know if I'm wrong.
First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24          Add 2x to both sides
4y = 2x + 24         Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!

Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6     Subtract 6 from both sides
-6 = (1/2) x          Multiply both sides by 2
-12 = x
The x intercept is -12

In Conlusion:
x-intercept = -12
y- intercept = 6

∠1 is a complement of ∠4, and m∠1=33∘m. Find m∠4.

Answers

Complementary angles equal 90°.

This means that if ∠1 is complementary to ∠4, then 
∠1 + ∠4 = 90°

33 + x = 90
x = 57

m∠4 = 57°
complement , sum = 90
m∠1=33∘
then m<4 = 90 - 33 = 57

answer
m<4 = 57

What three consecutive integers have a sum of 252?

Answers

The numbers are 83 84 85

252/3 = 84

84-1 = 83

84+1=85

83 +84 +85 = 252

 the numbers are 83, 84, 85

An aluminum recycling center pays0.08 per pound for cans how much will make receive for 21.5 pounds of cans

Answers

hey you I don't know so bye

Help with finding value of x?

Answers

Any two vertical angles are congruent, so we can set the values (3x - 3) and [6(x - 10)] equal to each other:

[tex]3x-3=6(x-10)[/tex]

From there, it's just a matter of solving for x.

What number appears 7 times in the multiplication table?

Answers

Final answer:

In a multiplication table, each number from 1 to 12 would appear 12 times corresponding to each multiplier. In a table specific for a single number, that number would repeat 12 times.

Explanation:

The question is asking about a number that appears 7 times in a multiplication table. In a multiplication table, numbers 1 through 12 are repeated 12 times, once for each multiplier. However, in a multiplication table between 1 and 10, the number 1 appears multiple times as it is a factor for every other number. As an exception, if we have a multiplication table that is specific to a certain number, for example, the number 7, then number 7 would appear 12 times as it is the constant multiplier for each number in the table.

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HELP PLEASE!!!!!
Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

0.19 cm
3.14 cm
5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

5 rad16 rad65 rad

Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.

13.8π15.2π24.5π

Answers

1: length of arc=(2πr/360)*3π/2
26.4=r*0.081
therefore,. r=26.4/0.081=325.9cm
this is the answer if the given angle was in degree.
if the angle is in radian then,
26.4=r*3π/2
r=5.6 cm
all the best

Answer:

Find the radius of a circle if a central angle of 3π/2 intercepts an arc of 26.4 centimeters.

Ans: 5.6 cm

Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

Ans: 5 rad

Find the arc length intercepted by a central angle of 3π/4 radians in a circle whose radius is 18.4 inches.

Ans: 13.8π

30 POINTS PLEASE HELP! An investment in a savings account grows to three times the initial value after t years.
If the rate of interest is 5%, compounded continuously, t = (blank) years.

Answers

The formula for a compound growth or decay is given by

A = A₀ × (1+growth rate)ⁿ

Where:
A = The final value after 'n' years
A₀ = The initial value
Growth rate = 5% = 0.05

We know that final value = 3 × Initial value
So that's A = 3A₀
Substitute this expression into the formula, we have
3A₀ = A₀ (1+0.05)ⁿ
3A₀ ÷ A₀ = (1.05)ⁿ
3 = (1.05)ⁿ

from here we can use the trial and error method:

take n = 1, then (1.05)¹ = 1.05
take n = 2, then (1.05)² = 1.1025
take n = 3, then (1.05)³ = 1.16
take n = 5, then (1.05)⁵ = 1.3
take n = 10, then (1.05)¹⁰ = 1.6
take n = 20, then (1.05)²⁰ = 2.7
take n = 30, then (1.05)³⁰ = 4.3 ⇒ too big
take n = 25, then (1.05)²⁵ = 3.4
take n = 24, then (1.05)²⁴ = 3.2
take n = 23, then (1.05)²³ = 3.1
take n = 22, then (1.05)²² = 2.9

so, the number of years it takes for the account to grow three times the initial value after 23 years.


Ou can draw a quadrilateral with two sets of parallel lines and no right angles.
a. True
b. False

Answers

i believe it would be true because you can have the first set then when you have your second set it just have to be slanted for them to all be acute & obtuse angles

At one point on the trip, the miles are recorded as 15,121 when the gas tank is 75% full. Use a ratio equation to determine the miles per gallon the sedan averages. Round your answer to the nearest whole number.

Answers

The most common size of a sedan tank is 18.5 gallons. So if it is 75% full, it contains 13.875 gallons of gas. If it recorded a mileage of 15,121 miles, mileage per gallon, therefore, is 1090 rounded off to the nearest whole number.

Given: Gas full tank of a sedan – 18.5 gallons

            75% full = 13.875 gallons

            Mileage using 13.875 gallons of fuel = 15,121 miles

The mileage per gallon computation using the ratio equation:

Ratio is 15121:13.875 or

            X/1= 15121/13.875

            13.875x = 15121

            X = 15121/13.875

            X =1089.80 or 1090 miles per gallon (rounded off)

If two angles of a triangle are complementary, then the triangle must be

Answers

That would be a right-angled triangle.
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