Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Answers

Answer 1

Answer:

5+ 2(3+2x) = x + 3(x+1) or B

Step-by-step explanation:

correct on edge 2021

Answer 2

The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

First, 4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x+ 12

0 = 0

Thus, the equation have No solution.

Second, 5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 6x = x + 3x + 1

6x+ 11 = 4x+ 1

2x = -10

x= -5

Thus, the equation have one solution.

Third, 5(x + 3) + x = 4(x + 3) + 3

5x+ 15 +x = 4x + 12 + 3

6x +15 = 4x + 15

2x = 0

x= 0

Thus, the equation have one solution.

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Related Questions

1. Write the rule for finding a point translated vertically k units up.
2. Use this rule to find the coordinates for (−3, −6) when translated 5 units up.

Answers

For this case we can use the following translation rule:
 (x, y) -------> (x, y + k) ------> (x ', y')
 Where,
 k: number> 0
 Substituting values we have:
 (-3, -6) -------> (-3, -6 + 5) ------> (-3, -1)
 Answer:
 
the rule for finding a point translated vertically k units up is:
 
(x, y + k)
 
The new coordinates are:
 
(-3, -1)

Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. the cone has a height of 4.5 inches and a radius of 1.5 inches

Answers

To find the amount of ice cream you will use the formula for finding volume of a cone.

V = 1/3x pi x r^2 x h
1/3 x 3.14 x 1.5^2 x 4.5
V = 10.6 cubic inches

The volume of ice cream that the cone can hold is approximately 10.6 in.³.

Which of the graphs displays the expression |5|? A) B) C) D)

Answers

Answer:

Step-by-step explanation:

Which of the graphs displays the expression |5|?

A)    

B)    

C)    

D)  

The answer id ( D )

have a great and hope this helps :)!

By using the number line below, a graph that displays the expression |5| is: D) graph D.

What is a number line?

In Mathematics and Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from 0 and decrease in numerical value towards the left from 0.

Based on the information provided above, we can logically deduce that the absolute value of 5 is equal to 5, which represents a distance of 5 units from the point zero (0);

|5| = 5

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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

4 1/4 divided by 1 1/2

Answers

Hello, Briana so when dividing fractions, its best to put them in decimal form so that you can divide or multiply better. Now having this in mind, 4.25 divided by 1.5 becomes the new equation and using simple math on a calculator, we can conclude that the answer to this question is 1.7 in decimal form or 1 and 7 over 10 in fraction form. Hope this helped, if you have any questions, please ask!

Final answer:

The division of 4 1/4 by 1 1/2, when converted to improper fractions, results in 17/6, or 2 5/6 as a mixed number.

Explanation:

The question asks us to find the result of the division 4 1/4 divided by 1 1/2. To tackle this problem, we need to convert the mixed numbers into improper fractions and then perform the division by multiplying by the reciprocal. Here's how it is done step-by-step:

Convert mixed numbers to improper fractions:
4 1/4 = (4×4 + 1)/4 = 17/4 and
1 1/2 = (1×2 + 1)/2 = 3/2.

Divide the fractions by multiplying by the reciprocal of the divisor:
(17/4) × (2/3) = 34/12.

Simplify the result:
34/12 can be simplified to 17/6, or as a mixed number, 2 5/6.

Therefore, the answer to 4 1/4 divided by 1 1/2 is 2 5/6.

Locate the prepositional phrase and type it in the blank. Then, identify the function of the phrase. Above the door hung a horseshoe. prepositional phrase: function of phrase: (Type adjective or adverb ).

Answers

The function of this prepositional phrase is adverbial, specifically it acts as an adverbial phrase of place, modifying the verb "hung". It answers the question "where?" in relation to the action of hanging.

The prepositional phrase in the sentence "Above the door hung a horseshoe" is "above the door".

This phrase describes the location of the horseshoe relative to the door. It specifies that the horseshoe is positioned vertically higher than the door. Prepositional phrases function as adjectives or adverbs by providing additional information about nouns (in this case, "door") or verbs (in this case, "hung"). In this context, "above the door" modifies the action of "hung" by indicating where the horseshoe is located.

Complete answer

Locate the prepositional phrase and type it in the blank. Then, identify the function of the phrase. Above the door hung a horseshoe. prepositional phrase: function of phrase: (Type adjective or adverb ):

What are the constants in x-3+2/3-y/2

Answers

The constants are -3 and 2/3.

In an equation, the constants are the numbers that are by themselves. In this problem, the numbers -3 and 2/3 are by themselves therefore they are constants.

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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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 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

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.

Let f(x) = -5x -4 and g(x) = 6x -7. Find f(x) + g(x)

Answer options

-11x = 3b

x - 11

-11x - 11

x + 3

Answers

x-11
[tex]6x - 5x - 4 - 7[/tex]

Answer:

Second option.

Step-by-step explanation:

f(x) + g(x) = -5x-4 + 6x-7 = -5x + 6x - 4 - 7 = x - 11.

Y=-4x+10 what is the perpendicular equation that contains (4,-6)

Answers

The perpendicular line to "Y = -4x + 10" that goes the the point (4,-6) is Y = 1/4x + 5.

The slopes are usually a fraction and a whole number. If the first slope is a whole number, it changes to a fraction, and vice versa. Also, if the first slope is negative, the perpendicular slope is positive and vice versa.

The y intercepts in this case are 10 (first slope) and 5 (dividing by 2) since it has to go through (4,-6). See graph below.

I hope this helps!

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.

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.

A pattern that can be folded to form a solid figure is a

Answers

I believe it's a 2 dimensional pattern.
net of a solid 
pretty sure

A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?

Answers

The total cost would be $1248.

To find the total cost, we need to first find the area of the parallelogram. To find the area, we need to multiply the base and height.

Then, we need to multiply the total area by the cost of $2.60.

32 x 15 x 2.6 = 1248

Answer:

$1248.

Step-by-step explanation:

area = base x height.

then

area x cost

b       h      c  

32 x 15 x 2.6 = 1248

BRAINLIEST to the correct answer Which measure(s) of center best derceibe(s) the data Explain. {10,10,10,10,1010,10,60} Mean Median or Mode

Answers

Mode.

The number that appears the most is 10, so it's mode.

This is mode because the number that appears more than any other number is 10.

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

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.

what is the slope of the line???

Answers

Look at the picture.

[tex]m=\dfrac{7}{4}[/tex]

PLEASE HELP MEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To use the distributive property means to "distribute" the 6 among each term inside the parentheses. So we have to multiply the 6 by 5x and then multiply 6 by -3.

= 6(5x - 3)
multiply 6 by each term in parentheses

= (6 * 5x) + (6 * -3)
multiply inside each parentheses; remember a negative times a positive equals a negative

= 30x - 18


ANSWER: 30x - 18

Hope this helps! :)

one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles of the triangle in grades.

Answers

2/3 of a right triangle is 60 degrees.  Then x + (x+20) + 60 = 180 total.

2x + 80 = 180, so 2x = 100 and x = 50.  The angles are 50, 70 and 60 (degrees)

What do you mean by "grades?"

Which set is more variable? How do you know?
Please please help me ASAP like RIGHT NOW this is my last question and the only question I have left so please help me super quick!!!!!!!!!!

Answers

Final answer:

To determine which set is more variable, calculate their measures of variability such as range and standard deviation. Sets with larger range and standard deviation are considered more variable.

Explanation:

To determine which set is more variable, you need to calculate the measures of variability for both sets. The measures of variability commonly used are the range and standard deviation. The set with a larger range and standard deviation is considered to be more variable.

For example, if we have two sets of data: Set A (2, 4, 6, 8, 10) and Set B (3, 5, 7, 9, 11), we can calculate the range for both sets. The range of Set A is 10 - 2 = 8, while the range of Set B is 11 - 3 = 8. Both sets have the same range, so we need to calculate the standard deviation to determine which set is more variable.

By calculating the standard deviation, we find that Set A has a standard deviation of 2.83, while Set B has a standard deviation of 2.83 as well. Again, both sets have the same standard deviation, so in this example, both sets are equally variable.

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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

What is the net force here and what direction will the object accelerate ?

Answers

there is 100 N pushing the box to the right and 10 N pushing the box to the left
 

since there is force being applied in opposite directions, the net force is found by subtracting the 2

100 - 10 = 90 N ( Net Force)

and because the higher force is pushing the box to the right, the direction will accelerate to the right.

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.


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.

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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:

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.

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