Which of the following is equivalent to the inequality shown below?

4x + 0.9 ≥ 0.1


4x + 9 ≥ 1
4x + 9 ≥ 1

40x + 9 ≥ 1
40x + 9 ≥ 1

40x + 90 ≥ 10
40x + 90 ≥ 10

40x + 90 ≥ 1

Answers

Answer 1

Answer:

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

Step-by-step explanation:

Given inequality : [tex]4x + 0.9 \geq 0.1[/tex]

We are supposed to find Which of the following is equivalent to the inequality

[tex]4x + 0.9 \geq 0.1[/tex]

[tex]\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}[/tex]

Multiply both sides by 10

[tex]\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)[/tex]

[tex]\Rightarrow 40x+9 \geq 1[/tex]

[tex]4x + 0.9 \geq 0.1[/tex] is equivalent to the inequality [tex]40x+9 \geq 1[/tex]

So, Option B is true

B) [tex]40x+9 \geq 1[/tex]


Related Questions

Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he donates 10 of them to charity. Which expression below does NOT represent how many toy cars Lee has after his donation?
a) 1.35c − 10
b) c + 0.35c − 10
c) −10 + 1.35c
d) 1.25c

Answers

Answer:

b) c + 0.35c − 10

Step-by-step explanation:

Ethan makes $72,000 per year as a fashion designer. If he gets paid monthly, how much does he make per paycheck?

Answers

Answer:

6000 a month

Step-by-step explanation:

FIRST TO ANSWER GETS BRAINLIEST!
What is the value of x when solving the equation -2x+(-8)=2x+8 using algebra tiles?
x=-4 x=-2 x=2 x=4

Answers

Answer:

-4

Step-by-step explanation:

The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m

Answers

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

Can someone help me with the equation below??

Answers

Answer:

The answer is number two o x< -2 or x > 5

Answer:

x<-2 or x>5 (the second choice)

Step-by-step explanation:

This is an "or" inequality. Both of the circles on the number line are open, so the signs we will use are going to be either < or >.

The shaded line on the left means x is less than -2 (x<-2). The shaded line on the right means x is greater than 5 (x>5).

If we write this as an "or" inequality, it will be...

x<-2 or x>5

In case you didn't know, if this was an "and" inequality, the shaded lines would intercept. But in this case, the shaded parts went opposite ways, so this is most likely an "or" inequality.

Hope this helped you out!! Have an amazing day c:


You buy 4.5 pounds of bananas at $0.49 a pound. You hand the cashier a $20 bill. How much change will you get back

Answers

Answer:

You get 17.80 cents back

Step-by-step explanation:

4.5 times 0.49 is 2.20 cents

20 minus 2.20 is 17.80 dollars

A world-class marathon number can finish 26.2 miles in 2 hours. What is the rate of speed for the runner?
5 points

Answers

The rate of speed is 13.1mph

Find the surface area of the cone in items of 17 and 3

Answers

Answer:

Area = 1829.87

Step-by-step explanation:

HELP ASAP marking brainliest if you can also explain
⚠️⚠️^^^⚠️⚠️
Question is in the image

Answers

Finding slope:

Take two pairs of cordinate points from the table and use the formula y2-y1 divided by x2-x1

I choose (4,3) and (2,2)

2-3 divided by 2-4

= -1/2

Then to get the y intercept you use the formula: y=mx+b

For the x and y pick a cordinate to plug in. For m plug in your slope.

I pick (6,4)

4=-1/2×6+b

Multiply -1/2 and 6 to get -3 and plug that in

4=-3+b

Now add 3 to the -3 canceling that out to 0 and add three to the 4 making that 7

7=b

Y-intercept =7

Now plug in the slope and y-intercept into the slope intercept format and get:

Y=-1/2x+7

Determine whether each linear expression is a factor of the polynomial.

X^4+x^3-17x^2+15x

A. X+3
B. X+5
C. X-1

Answers

A yes, b and c no. That’s the answer.

What was the purpose for the creation of the Pythagorean theorem?

Answers

Answer:

Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.

Step-by-step explanation:

Order the fractions 1 / 6, 2 / 5, 3 / 5, 3 / 7 from least to greatest,

Answers

Answer:

1/6, 2/5, 3/7, 3/5

urgent! please help!​

Answers

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

A ride owner in a fair, charges $21 for entry of 4 people. What is the rate of earnings in dollars per person?

Answers

Answer:

$7 per person.

Step-by-step explanation:

21/4 $5.25

Answer:

$5.25

Step-by-step explanation:

4 people = $21

1 person = $21/4 = $5.25

marton charges $15 for every five bags of leaves he rakes last weekend he raked raked 20 bags of leaves how much money did he earn

Answers

Answer:

20*15=300

He earned $300

Michael earns $8 an hour to baby sit the Jackson family. How many hours does he have to 1 point
baby sit to earn $56?

Answers

Answer:

7 hours

Step-by-step explanation:

56/8=7

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Which of the following functions model the data given in the table below?
х
2
3
4
5
6 y
-5
-7
-9
-11
-13

Answers

Answer:

I thinkkk its Option 2

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

The line is linear and the y-intercept hits at -1 so option 2 is correct.

Im building my first gaming pc, and part suggestions/tips?

Answers

Answer:

-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )

-Not being concerned or cautious about ESD

-Do not over torque / over tighten screws.

-Not giving yourself enough room to build

-Not using a magnetic tray when building

Answer:

Parts

GEFORCE RTX 2060 SUPER this is a good graphics card for 399

intel core i5 is a pretty good budget processer

I recomend a nzxt case they are pretty good

these are only some parts but these are pretty good budget

What is the measure of angle q°?
70°
110°
90°
180°

Answers

Answer:

sorry but where are the angles

The value of q in the quadrilateral 70°

Given that a quadrilateral we need to find the value of q,

Since we can see that the opposite angles are equal so the quadrilateral can be a parallelogram,

Therefore, we get, q and 110° is consecutive angles and the consecutive angles in a parallelogram are supplementary angles,

So,

110° + q° = 180°

Solve for q,

q° = 180° - 110°

Simplification

q° = 70°

Hence the value of q is 70.

Learn more about quadrilateral click;

https://brainly.com/question/13805601

#SPJ6

What is the percent of the discount for a $60 item that sells for $45?

Answers

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

The United States Capitol is

located at (2, 4) on a coordinate grid. The White

House is located at (-10, 16) on the same coordinate

grid. Find two different points on a segment joining

the United States Capital and the White House such

that the ratio of the two shorter segments created by

each point is 1:3.

Answers

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

I WILL GIVE BRAINLIEST

Answers

Answer:

No

Step-by-step explanation:

There is an x value that has two y values. If you were to graph this function, it would not pass the vertical line test.

$23.96 for 4 pounds of salamI, round to the nearest tenth. What is the answer?

Answers

Answer:

20

Step-by-step explanation:

if you are given 25 that rtn 10 would be 30 but you have given me a number lover than that so that would be 20

90, 30, 10, 3.33,
90 is the 1st term.
a) What is the pattern?

Answers

Answer:

÷3

Step-by-step explanation:

90÷3 = 30

30 ÷ 3 = 10

10 ÷ 3 = 3.33

the answer is divide by 3

PLease help with this question? I also need an explanation on how you got the answer

Answers

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

A field goal kicker lines up to kick a 44 yard (40m) field goal. He kicks it with an initial velocity of 22m/s at an angle of 55∘. The field goal posts are 3 meters high.Does he make the field goal?What is the ball's velocity and direction of motion just as it reaches the field goal post

Answers

Answer:

The ball makes the field goal.

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of motion is -45.999º or 314.001º.

Step-by-step explanation:

According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:

[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)

[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.

[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.

[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.

[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:

[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)

[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)

From (Eq. 1b):

[tex]t = 3.170\,s[/tex]

And from (Eq. 2b):

[tex]y = 7.847\,m[/tex]

Therefore, the ball makes the field goal.

In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:

[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)

[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)

Where:

[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.

[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.

If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:

[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]

[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]

[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]

[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]

The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:

[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)

Where [tex]v[/tex] is the magnitude of the final velocity of the ball.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:

[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]

[tex]v \approx 18.166\,\frac{m}{s}[/tex]

The magnitude of the velocity of the ball is approximately 18.166 meters per second.

The direction of the final velocity is given by this trigonometrical relation:

[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)

Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.

If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:

[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]

[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]

The direction of motion is -45.999º or 314.001º.

evaluate each expression 5(10-1)

Answers

Answer:

the answer is 45 if its is what you need

Step-by-step explanation:

i got 100 on test and had that question

Find the area of the shaded region

Answers

Answer:

35

Step-by-step explanation:

Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.

You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups?

Answers

Answer:

=36

Step-by-step explanation:

Step-by-step explanation:

for this we has to take the LCM of 3,4 and 9 to find the least common factor in between these three numbers.....

so we have to multiply 3×3×4

=36

so if we divide 36 by 3 ,4 OR 9

we will not find any remainder

2/3y + x =4 Solve for y

Answers

Answer:

y = -3x + 12/2

Step-by-step explanation:

Step 1: Add -x to both sides

x + 2/3 + -x = 4 + -x

2/3y = -x + 4

Step 2: Divide both sides by 2/3

2/3y ÷ 2/3 = -x + 4 ÷ 2/3

y = -3x + 12/2

the function is y=-3x+12/2
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