4(-4x - 3) > 36 with the steps

Answers

Answer 1

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

Answer 2

Answer is x < -3


4(-4x-3) > 36

Expand the brackets

-16x - 12 > 36


Rearrange the inequality to get x on its own


-16x > 36 + 12


-16x > 48


Divide both sides by -16 in order to get x on its own. When dividing both sides of the inequality by a negative number, flip the inequality sign (as this is one of the laws of inequalities)


x < 48/-16


x < -3


Related Questions

for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?

Answers

Answer:

Her profit would be $1.30

$1.32 because she paid .53 each ($3.20) and sold them for .75 each . Making .22 per box

=
Use the following unit fractions to express 195 miles per hour in feet per second.
5280 ft 60 min
60 sec
1 mi
1 hr
1 min
195 mi
hr
ft
sec
1
and
(Simplify your answer.)

Answers

Answer:195 miles per hour is approximately 286.67 feet per second.

Step-by-step explanation: To convert miles per hour to feet per second, we need to use the unit fractions you've provided.

Given:

1 mi = 5280 ft

1 hr = 60 min

1 min = 60 sec

We need to convert 195 miles per hour to feet per second.

Start with 195 mi/hr.

Multiply by fractions equivalent to 1, in a way that cancels out the units you don't want and leaves the units you do want.

195 mi/hr * (5280 ft/1 mi) * (1 hr/60 min) * (1 min/60 sec)

The mi units cancel, the hr units cancel, and the min units cancel, leaving ft/sec.

This equals: 195 * 5280/3600 ft/sec

= 286.67 ft/sec

Answer:

  286 ft/s

Step-by-step explanation:

You want to express 195 mi/h in feet per second.

Units conversion

To convert the units, multiply by the fraction that cancels the units you don't want and leaves the units you do want.

  \(195\,\dfrac{\text{mi}}{\text{h}}=\dfrac{195\text{ mi}}{1\text{ h}}\times\dfrac{1\text{ h}}{60\text{ min}}\times\dfrac{1\text{ min}}{60\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{195\times5280\text{ ft}}{60\times60\text{ s}}\\\\=\dfrac{1029600\text{ ft}}{3600\text{ s}}=\boxed{286\text{ ft/s}}\)

__

Additional comment

The exact conversion is as shown above. The conversion factor 5280/3600 reduces to 22/15 ft/s for 1 mi/h.

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What is the next term in the pattern? 1,1,5,17,71,247

Answers

Answer: 1085

Step-by-step explanation:

Jo leaves some money in a bank account that pays
interest. Each year, the balance of her account is
15% more than it was the year before.
If she starts with £400 in her account, work out
her balance for the next three years. Give your
answers in order and rounded to the nearest
pound.

Answers

If she starts with £400 in her account, her balance for the next three years IS; $608.35

How to solve exponential equation?

The general formula for exponential equation is;

y = a(b)ˣ

where;

a represents an initial value or amount

b is the constant multiplier, is a growth factor or factor of decay.

We are given;

Initial value; a = £400

constant multiplier; b = an increase of 15% yearly = 1.15

Thus, her balance for the next three years is;

y(3) = 400(1.15)³

y(3) = $608.35

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2/3 es equivalente a 4/5?

Answers

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Given: (3x-y)² + (x-5)² =0 Solve for x and y.​

Answers

Resolving the expression into a system of linear equations, the value of x and y are 5 and 15 respectively

What is the value of x and y?

Expanding the given equation, we get:

\((3x - y)^2 + (x - 5)^2 = 0\\9x^2 - 6xy + y^2 + x^2 - 10x + 25 = 0\\10x^2 - 6xy + y^2 - 10x + 25 = 0\)

To solve for x and y, we need another equation that relates them. However, since the given equation has no real solutions (as the sum of two squares cannot be zero unless both squares are zero), we can conclude that there are no real values of x and y that satisfy the equation.

Alternatively, we could write the given equation as:

(3x - y)² = (5 - x)²

Taking the square root of both sides, we get:

3x - y = ±(5 - x)

Now we have two equations:

3x - y = 5 - x ...eq(i)

3x - y = x - 5 ...eq(ii)

solving for both x and y in the system of linear equations

x = 5 and y = 15

Therefore, the solution to the given equation is:

x = 5, y = 15

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Complete the sentences to explain how to find the dimensions of the square.

Complete the sentences to explain how to find the dimensions of the square.

Answers

The absolute value of the x-values of the coordinates of A and B = |2 - 5| = 3 units.

The absolute value of the y-values of the coordinates of B and C = |6 - 3| = 3 units.

How to Find the Dimension of a Square on a Coordinate Plane?

If two points lie on a coordinate plane, the distance between them represents the length of the segment both points form, which is determined by finding the absolute difference between the values of their coordinates that lie on the same axis.

Given that a square has the points, A (2, 6), B (5, 6), C (5, 3), D (2, 3), its dimensions can be found as explained below:

Length of AB is found by calculating the absolute value of the x-values of the coordinates of A and B, while to find the length of BC, is the absolute value of the y-values of the coordinates of B and C.

Therefore:

AB = |2 - 5| = 3 units

BC = |6 - 3| = 3 units

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5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will help 100000 of people so plz answer this

5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will

Answers

Answer: 6/6 or 1

Step-by-step explanation:

1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.

4/6 + 4/6 = 6/6 or 1

6/6 or 1 is correct.

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

How far does the tip of a 5-foot pendulum travel as it swings through an angle of 30∘? Round the answer to two decimal places.

Answers

The tip of the pendulum travels approximately 2.62 feet as it swings through an angle of 30 degrees.

The distance traveled by the tip of a pendulum is equal to the length of the arc of the circle traced out by the pendulum as it swings through the given angle. The length of the arc can be calculated as a fraction of the circumference of the circle.

In this case, the pendulum has a length of 5 feet, so the radius of the circle it traces is also 5 feet. The circumference of this circle is 2πr = 2π(5 ft) = 10π ft.

To find the length of the arc traced out by the pendulum as it swings through an angle of 30 degrees, we need to calculate what fraction of the circle's circumference this angle represents. Since a full circle has an angle of 360 degrees, we have:

fraction of circle's circumference = (30 degrees) / (360 degrees) = 1/12

Therefore, the length of the arc traced out by the pendulum is:

length of arc = (1/12) x (10π ft) = (5/6)π ft ≈ 2.62 ft

So the tip of the pendulum travels approximately 2.62 feet as it swings through an angle of 30 degrees.

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Which of the following is NOT an example of a right angle?
Ο Α.The corner of a door

O B.The corner of a book

C.The point of a pencil

D.The corner of a piece of notebook paper

Answers

Answer:

The point of a pencil

Step-by-step explanation:

all other three mesure 90 the point of pencil is not square shape in order for it to be right angle its gotta be square shape hope this helps! may i be marked brainliest?

Write a polynomial in two variables that describes the total area of the shaded region.

Write a polynomial in two variables that describes the total area of the shaded region.

Answers

Answer: 72x

Step-by-step explanation: add all tighter

1/5 + 1/3 plz give me step by step explanation

Answers

Answer:

8/15

Step-by-step explanation:

find the common denominator, which is 15 and times 1/3 by 5/5 to get 5/15 and times 1/5 by 3/3 to get 3/15 and add them together to get 8/15

the set of lowercase words of length 8 in which each distinct letter appears exactly twice (e.g., approora, yetiteyi, tunantau).

Answers

There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.

What are the Lowercase Words?

To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:

C(26, 4) = 26! / (4! * 22!) = 14,950

Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:

Choose the first pair: we can choose any of the 4 letters, so there are 4 options.Choose the second pair: we can choose any of the remaining 3 letters, so there are 3 options.Arrange the pairs: there is only one way to arrange the pairs.

Therefore, the total number of such words is:

4 * 3 * 1 = 12

Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:

aabbccddaabbddccaaccbbddaaccddbbaaddbbccaaddccbbbbaaccddbbaaddccbbcc aaddbbdd aaccccdd aabbddcc aabb

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Which product is represented by the model below

Which product is represented by the model below

Answers

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Solve for x.

A. 2ft
B. 3ft
C. 4ft
D. 6ft

Solve for x. A. 2ftB. 3ftC. 4ftD. 6ft

Answers

\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:

Step-by-step explanation:

below is the probability tree representing natalie selecting socks.

What is the probability that Natalie selects at least one black sock?

below is the probability tree representing natalie selecting socks.What is the probability that Natalie

Answers

Answer:

\(P(Black \ge 1) = \frac{55}{64}\)

Step-by-step explanation:

Given

The attached tree diagram

Required

\(P(Black \ge 1)\) --- at least 1 black socks

To do this, we consider the following selections of black (b)

\(b = \{BB, BW, WB\}\)

Where

\(B\to Black\)

\(W\to White\)

From the attached tree diagram, we have:

\(BB =\frac{25}{64}\)

\(BW =\frac{15}{64}\)

\(WB =\frac{15}{64}\)

So:

\(P(Black \ge 1) = BB + BW + WB\)

\(P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}\)

Take LCM

\(P(Black \ge 1) = \frac{25+15+15}{64}\)

\(P(Black \ge 1) = \frac{55}{64}\)

I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

What is the formula for calculating the surface area of a sphere?

What is the formula for calculating the surface area of a sphere?

Answers

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?

Answers

The length of the square in centimetres in algebraic expression is 25m

How to find the side length of a square?

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

l = side length

Therefore,

m = 4l

where

m = perimeter of the square

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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PLEASE HELP!!!!!
will mark brainliest!!!!!

PLEASE HELP!!!!!will mark brainliest!!!!!

Answers

Answer:

\(slop = \frac{y2 - y1}{x2 - x1} \\ considertwo \: points \: \: 5 \: 17and \: 6 \: 18 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 17 = \frac{18 - 17}{6 - 5} (x - 5) \\ y - 17 = x - 5 \\ y = x - 5 + 17 = x + 12 \\ good \: luck\)

Answer:

f(x)=x+12

Step-by-step explanation:

To check if it is right:

plug in the numbers to the equation

f(x)=5+12=17

f(x)=6+12=18

M log_5(8) rewrite to log _?(?)

M log_5(8) rewrite to log _?(?)

Answers

Answer:

\(\log_5 8^{M}\)

Step-by-step explanation:

\(\text{We know that,}~ b\log_a c = \log_a c^b\)

Need help asap! Please help worth many points

Need help asap! Please help worth many points

Answers

Answer:

8x-4

Step-by-step explanation:

multiply 2x-1 * 4

What is the surface area?
2 yd
7 yd
6 yd


square yards:

Actually get the answer and you get Brainlyest

What is the surface area?2 yd7 yd6 ydsquare yards:Actually get the answer and you get Brainlyest

Answers

Answer:

total surface area = 136 yd

Step-by-step explanation:

Answer:

For a rectangular prism use this formula to find the surface area:

SA of rectangular prism = 2(lw + wh + lh), where, l is length, w is width and h is the height of the prism.

Now, let's input our numbers given into the equation.

SA = 2(7×6 + 6×2 + 7×2)

Okay, so now that we have an equation filled out, let's solve to find the Surface Area of this rectangular prism.

SA = 2(7×6 + 6×2 + 7×2)

SA = 136 square yards

Step-by-step explanation:

If any questions please put them below.

Solve:
\({2x}^{2} + x - 3 = \)

Answers

Actually it has 3 method to solve this question, but I just show 2 method . Method 1 is just pressing your calculator. Method 2 is using the formula. The method that I didn’t show is completing the square method(CTS method)
Solve:[tex]{2x}^{2} + x - 3 = [/tex]

HELP PLSPLSPSL QUICK

HELP PLSPLSPSL QUICK

Answers

Answer:

B. y > 4x + 2

Step-by-step explanation:

The area of the graph above the dotted line is shaded; therefore, this inequality is greater than. The dotted line's slope is 4, hence x is multiplied by 4, and its y-intercept is at 2, hence + 2 on the right side.

Picture below. Plz answer quickly will give brainilest!

Picture below. Plz answer quickly will give brainilest!

Answers

Answer:

\(\frac{3}{5}\)

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly

so \(\frac{12}{20}\) ÷ \(\frac{4}{4}\)=\(\frac{3}{5}\) ( Divide Across)

1. Find the measure of 4FEB

1. Find the measure of 4FEB

Answers

Answer:

it is so hard men and there is no solution maybe you can search on siri

Suppose θ is an angle in the 2nd quadrant and sin(θ)=1/2 What is the value of cos(θ)


a. 1/2


b. −3√/2


c. −3/5



d. −3√/3



e. -1/2

Answers

Answer:

B. -√(3)/2

Step-by-step explanation:

Given:

θ is an angle in the 2nd quadrantsin(θ) = 1/2

We know that in the 2nd quadrant, sinθ is positive and cosθ is negative.

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.

Substituting sin(θ) = 1/2, we get:

(½)² + cos²(θ) = 1

cos²(θ) = ¾

cos(θ) = -√(3)/2

Therefore, the value of cos(θ) is -√(3)/2.

Angle 1=(2x^2+6)
Angle 2=(x^2+x)
Angle 3=(4x)

Find X using this Angle 1=angle 2 + angle 3

Someone please help meeee

Angle 1=(2x^2+6)Angle 2=(x^2+x)Angle 3=(4x)Find X using this Angle 1=angle 2 + angle 3Someone please

Answers

Answer:

  X = 2 or X = 3

Step-by-step explanation:

Substitute the given values in the given equation and solve the quadratic.

  angle 1 = angle 2 + angle 3

  2x^2 +6 = (x^2 +x) +(4x)

  2x ^2 +6 = x^2 +5x . . . . . . . . collect terms

  x^2 -5x +6 = 0 . . . . . . . . . . . subtract x^2 +5x

  (x -2)(x -3) = 0 . . . . . . . . . . factor

x may be either 2 or 3.

_____

Additional comment

Solutions to a factored quadratic are the values of x that make the factors zero.

Find the mean of 7,9,4,3,9,4 graphically

Answers

Answer:

6

Step-by-step explanation:

To find the mean you've got to add 7, 9,4,3,9 and 4 (which gives you 36) and divide that by the number of figures/numbers (which is 6 numbers in total) and it gives you 6

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