Solve the inequality:
4-3x<16

Answers

Answer 1

Answer:

x > -4

Step-by-step explanation:

This is solved just like as if it was an equation. Its a two-step equation (inequality) The only thing that's different is with an inequality, it is imperative that you flip the inequality symbol if you multiply or divide by a negative number.

Here, we'll subtract 4 from both sides. Then divide by -3 on both sides. Flip! the < to a >.

see image.

Solve The Inequality: 4-3x&lt;16
Answer 2
Answer:

x > -4.

Step-by-step explanation:

1. Write the expression.

[tex]4-3x < 16[/tex]

2. Subtract "4" from both sides of the equation.

[tex]4-3x-4 < 16-4\\ \\-3x < 12[/tex]

3. Divide both sides by "-3" and switch the inequality symbol.

[tex]\frac{-3x}{-3} < \frac{12}{-3} \\ \\x > -4[/tex]

Important. See that we switched the inequality symbol from "<" to ">", and this is because the symbol of the coefficient of variable "x" changed from negative to positive when it was divided by "-3". This rule will always be true, any time the symbol of the variable changed, the inequality symbol changes.

4. Verify.

If x >-4 is the correct answer, then substituting x by "-4" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).

[tex]4-3(-4) > 16\\ \\4-(-12) > 16\\ \\4+12 > 16\\ \\16 > 16[/tex]

That's correct! x > -4 is the correct answer.


Related Questions

y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost for rear crash repair cost for a certain models sedan use the equation to predict the full rear repair cost from a full front repair cost of $4594

Answers

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

What is line of regression?

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

What is scalar?

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.

graph of a line going through 0 comma 0 and one half comma 5

p = 10
p = 5
p = 0.5
p = 0.1

Answers

The constant of proportionality is 10 for the proportional relationship shown in the graph.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The proportional relationship is shown in the given graph.

As per the given graph, we take two points (1, 10) and (2, 20)

So, the constant of proportionality will be as:

⇒ (20 - 10)/(2-1)

⇒ 10/1

⇒ 10

Hence, the correct answer would be option (A).

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each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day?

Answers

The heart pumps around 17280 pints of blood in a day.

To find out how many pints of blood your heart pumps in a day, we need to determine the total volume of blood that your heart pumps in one day.

We know that your heart pumps 1.5 gallons of blood per minute. To find out how much blood your heart pumps in one day, we need to multiply that amount by the number of minutes in a day.

1 day = 24 hours

1 hour = 60 minutes

So, the number of minutes in one day is 24 hours x 60 minutes = 1440 minutes

Now, we can use this information to find out how many gallons of blood your heart pumps in a day.

Gallons of blood pumped per day = 1.5 gallons/minute x 1440 minutes/day

= 2160 gallons

1 gallon = 8 pints

So the number of pints of blood that your heart pumps in a day = 2160 gallons × 8 pints/gallon = 17280 pints.

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your heart pumps 2000 gallons of blood around your body each day.

if your body pumps around 1.5 gallons of blood each minute then a day is 24 hours so yu do that x together which is 20 but as its hours you do it for 2000 and just incase yu need some more info

(1.5 imperial gallons) x 24 hours = 589.173508 m3 s

SORRY IF THIS DONT ALL MAKE SO MUCH SENSE

Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70. Mrs. Zagorski joins a fitness club which has a cost represented by the function given by the ordered pairs: (0, 50), (1, 60), (2, 70), (3, 80). Who pays more initially, just to join the club?

Answers

Using the given function and the ordered pairs, we observed that Mr. Poppen pays more initially, to join the club

Calculating the initial cost

From the question, we are to determine who pays more initially to join the club between Mr. Poppen and Mrs. Zagorski  

From the given information,

"Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70"

The initial amount paid by Mr. Poppen is the value of y when x is 0

y = 10x + 70

y = 10(0) + 70

y = 0 + 70

y = 70

From the given ordered pairs

(0, 50)

(1, 60)

(2, 70)

(3, 80)

We can conclude that the initial amount paid by Mrs. Zagorski is 50

Hence, Mr. Poppen pays more initially

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why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?

Answers

2^3x 5^4x 9^4 is not a prime factorization because it includes variables (x) in the exponents of the terms. In order to express a number in prime factorization form, all exponents must be constants (whole numbers).

The prime factorization of the number can be obtained by setting the variables x to specific values. For example, if we set x = 2, the number becomes 2^6 5^8 9^8, which can be further factored as 2^2 x 3^6 x 5^8 x 7^8. If we set x = 3, the number becomes 2^9 5^12 9^12, which can be further factored as 2^3 x 3^9 x 5^12 x 7^12.

So the prime factorization of the number depends on the value of the variable x. Without knowing the value of x, it is not possible to determine the exact prime factorization of the number.

A ball is launched from a 48.314-meter tall platform. The equation
=
for the ball's height h at time t seconds after launch is h (t) =
-4.9t² +2.45t + 48.314, where his in meters. When does the
object strike the ground?

Answers

Answer:

3.4 seconds

Step-by-step explanation:

Given function:

[tex]h(t)=-4.9t^2+2.45t+48.314[/tex]

where

h = height of the ball (in meters)t = time (in seconds)

The ball will strike the ground when its height is zero.

Therefore, to calculate when the ball strikes the ground, substitute h(t) = 0 and solve for t using the quadratic formula.

[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]

Therefore:

a = -4.9b = 2.45c = 48.314

Substitute these values into the quadratic formula:

[tex]\implies t=\dfrac{-2.45 \pm \sqrt{(2.45)^2-4(-4.9)(48.314)}}{2(-4.9)}[/tex]

[tex]\implies t=\dfrac{-2.45 \pm \sqrt{6.0025+946.9544}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-2.45 \pm \sqrt{952.9569}}{-9.8}[/tex]

[tex]\implies t=\dfrac{-2.45 \pm 30.87}{-9.8}[/tex]

[tex]\implies t=\dfrac{-2.45 + 30.87}{-9.8}=-2.9[/tex]

[tex]\implies t=\dfrac{-2.45 -30.87}{-9.8}=3.4[/tex]

As time cannot be negative, t = 3.4 s only.

Therefore, the ball strikes the ground 3.4 seconds after it is launched.

Helpp!! I’m stuck on this!!

Answers

Answer - solution to
graph one = (-3, -1) see attached graph
Graph two = (1, -2) see attached graph

a wall is 50cmx50cm how many 2cmx1cm tiles would you need to fill it

Answers

Answer: 1250

Step-by-step explanation: 50 x 50 = 2,500

                 2,500 divided by 2 is 1250

Translate the sentence into an equation.
Five times the sum of a number and 9 equals 3.
Use the variable y for the unknown number.

Answers

Answer: To translate the given sentence into an equation, we can start by replacing the words "five times the sum" with the mathematical expression "5(x + 9)". Then, we can replace the word "number" with the variable y, to get:

5(y + 9) = 3

Next, we can distribute the 5 to obtain:

5y + 45 = 3

Finally, we can subtract 45 from both sides to solve for y:

5y = -42

y = -42/5

y = -8.4

Therefore, the equation that represents the given sentence is y = -8.4.

Step-by-step explanation:

Find the length of the model in the picture!!!Then find the scale factor.The length of an actual bird is shown on the picture.

Answers

We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

what is scale factor?

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

What is the length of the model in the picture?

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

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Help me with this PLEASE!!!!

Answers

Answer:

Corresponding Parts of Congruent Triangles are Congruent.

ASA

Step-by-step explanation:

We know that <YPC and angle <YPX are congruent angles.  They are both 90°.

Side YP is congruent to YP, so these sides are congruent in both triangles.

<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.

ASA (Angle, Side, Angle)

can someone help me please

Answers

Answer:

Step-by-step explanation:

-1 +2=1

2+2=4

5+1=6

find the mean in the picture

Answers

Hey I think it’s 20 just did it in my head

please help asap
will give brainliest

Answers

Answer: 109 it says 109 in the corner of b and d

No hablo inglés perdón

A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?

Answers

When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

what is rectangle ?

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

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M/5 + 9=11
Solve two step equations

Answers

Answer:

m=10

Step-by-step explanation:

m/5+9=11 subtract 9

m/5 = 2 multiply 5 by both sides

m = 10

3a+2b
Help me please
I can’t do it

Answers

Answer:

Question is not clear

Step-by-step explanation:

when a positive integer was multiplied by each of its digits, the product was 1995. Find the original number.

Answers

Answer:

  57

Step-by-step explanation:

You want a positive number that gives a product of 1995 when it is multiplied by each of its digits.

Number

The prime factors of 1995 are 3, 5, 7, 19. The product of 3 and 19 gives 57, so multiplying 57 by 5 and 7 will result in the product 1995.

The original number is 57.

<95141404393>

Solve on the interval [0,2pi): 1- cos0= 1/2

Answers

Using an inverse trigonometric function, we will find that the solution is:

θ = 1.047

How to solve that equation?

Here we want to solve the equation:

1 - cos(θ) = 1/2

Such that θ ∈  [0,2pi)

Now let's return to our equation:

1 - cos(θ) = 1/2

1 - 1/2 = cos(θ)

1/2 = cos(θ)

Now we could apply the inverse cosine function to both sides, then we will get:

Acos(1/2) = Acos(cos(θ))

1.047 = θ

That is the solution.

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consider the trinomial 15x² - 34x - 16.
List all the factor pairs for -240.

Answers

Answer: To find the factor pairs for -240, we can use the following steps:

Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)

For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).

The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).

Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).

Step-by-step explanation:

Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.

Answers

Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

Helpp!! Solve the system by graphing.

Answers

Answer is no solutions

Step by step

y = 2x +2
y = 2x -2

these two equations have the same slope (2) with different y intercepts (2 and -2) so they are parallel lines. Since the lines are parallel, the pair of equations have no solution.

in a company, 60% of workers are women. if 800 people work on the company who aren't women, how many workers are there in all? use pencil and paper. show two different ways that you can solve this problem. how many workers in all?

Answers

Answer:

2000 workers

Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)

d. Describe the relationship between the 9s in Ithaca's average annual rainfall?

Answers

Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.

What is the relationship between the patterns in rainfall and temperature?Increased evaporation as a result of rising average temperatures at the Earth's surface leads to more precipitation overall. As a result, many places might expect more precipitation as a result of a hotter environment.Moving from the equator toward the poles results in less precipitation. Because temperature impacts how much moisture air can contain, precipitation often decreases with increasing latitude, with higher precipitation typically occurring at lower latitudes.There is a larger than 28% chance of rain on any given day during the wetter season, which lasts for 6.4 months from April 2 to October 14.June is the month in Ithaca with the most rainy days, with an average of 11.3 days with at least 0.04 inches of precipitation. From October 14 to April 2, the dry season lasts 5.6 months.

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help please with this assignment

Answers

Answer:

13

Step-by-step explanation:

Cuz the factor of y is angle to the 115° is to the Y value

(HELP ASAP!)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

In baseball, each time a player attempts to hit the ball, it is recorded.

The ratio of hits compared to total attempts is their batting average.

Each player on the team wants to have the highest batting average to help their team the most.

For the season so far,

Jana has hit the ball 7 times out of 10 attempts.

Tasha has hit the ball 10 times out of 16 attempts.

To find the ratio of batting average:

We must find the same number of attempts.

So,

Jana has ratio 7/10.

So, 56 /80 = 0.7

Tasha has ratio 10/16.

So, 50 / 80 = 0.625

Therefore, Jana has the highest batting average.

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Hey guys! I need some help

Answers

Answer:

D

Step-by-step explanation:

8x+12y-2y+3x=11x+10y

Answer:

answer D

Step-by-step explanation:

8x+12y-2y+3x

11x+ 10y

Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?

Answers

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

What is rate?

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

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Make 4 equal warehouses out of a fence 300 m long. What is the width and length of the sv part if we want them to be the largest possible areas

Answers

The width and the length that gives the largest possible areas are 75 meters by 37.5 meters

How to determine the width and the length that gives the largest possible areas

From the question, we have the following parameters that can be used in our computation:

Number of warehouses = 4

Perimeter of fence = 300 meters

Represent the width with x and the length with y

So, we have the following equations

Area = 4xy

Perimeter = 2(4x + y)

Substitute the known values in the above equation, so, we have the following representation

2(4x + y) = 300

Divide both sides by 2

2x + y = 150

Make y the subject

y = 150 - 2x

Substitute y = 150 - 2x in Area = 4xy

A = 4x(150 - 2x)

This gives

A = 600x - 8x²

Differentiate and set to 0

600 - 16x = 0

So, we have

16x = 600

Divide by 16

x = 37.5

Recall that

y = 150 - 2x

So, we have

y = 150 - 2 x 37.5

Evaluate

y = 75

Hence, the dimensions are 75 meters by 37.5 meters

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: 1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125 ​

Answers

To simplify this expression, you can first simplify the logarithms by using the properties of logarithms and the simplified expression is -0.00195

What is logarithm?

A logarithm is a mathematical function that is used to determine the power to which a number must be raised in order to produce a certain value. The logarithm of a number "b" to base "a" is represented as loga(b) or logb. The logarithm of b to base a is equal to the exponent to which we must raise a to get b.

[tex]1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]

To simplify this expression, you can first simplify the logarithms by using the properties of logarithms.

[tex]1/2 log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]

=[tex]1/2( log10 25 - log10 4) - 2 (log10 4 - log10 5) + (log10 320 - log10 125)[/tex]

= 1/2(1.397940008672037 - 0.6020599913279624) - 2*(-0.6020599913279624 - 0.6989700043360187) + (2.505149978319906 - 2.0969100130080566)

= 0.397940008672037 - 1.204120018655925 - 1.397940008672037 + 0.40825006983185

= -0.2 - 0.2062 + 0.40825

= -0.00195

So the simplified expression is -0.00195

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Complete question is: simplify the given equation:  1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125

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