21 ≤ 3 + 9x please help me solve the inequality

Answers

Answer 1

Answer:

x ≥ 2

Step-by-step explanation:

21 ≤ 3 + 9x

21 - 3 ≤ 9x

18 ≤ 9x

18 ÷ 9 ≤ x

2 ≤ x

x ≥ 2

Answer 2

The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.

Used the concept of inequality which states that,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

21 ≤ 3 + 9x

Now, simplify the inequality by combining like terms and solving for x,

21 ≤ 3 + 9x

Subtract 3 on both sides,

21 - 3 ≤ 9x

18 ≤ 9x

It can be written as,

9x ≥ 18

9x - 18 ≥ 0

Take 9 as common,

9 (x - 2) ≥ 0

x - 2 ≥ 0

Therefore, the solution of expression is,

x  ≥ 0

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Related Questions

A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.

Answers

Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

What is percentage decrease?

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The person's weight decrease-

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

[tex]\Delta W=200-33\\\Delta W=167[/tex]

The percentage did the person's weight decrease-

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

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The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?

Answers

Answer:

There are 8 more girls

Step-by-step explanation:

If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.

Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.

Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?

Answers

Answer:

she spent £270.

Step-by-step explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180

Factorize x squared - 1x +10 =0

Answers

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

What is 9^-53 × 9^37

Answers

Answer: 9⁵³ ₓ 9³⁷ = 9⁹⁰

Explanation: 53 + 37 = 90

So our answer: 9⁹⁰

In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

[tex]27.6^\circ[/tex]

Step-by-step explanation:

Given:

A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]

ST = 44 feet

TR = 84 feet

To find:

[tex]\angle R = ?[/tex]

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].

We know that formula for tangent of angle [tex]\theta[/tex] is given as:

[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here, Perpendicular for [tex]\angle R[/tex] is side ST and

Base is side TR.

Putting the values in above tangent formula:

[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]

Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.

Answer:

66.1

Step-by-step explanation:

Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it

Answers

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!

Answers

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus

Answers

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

One circle has a diameter of 10 inches. A second circle has a diameter that is twice the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

Answers

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Find x. 4 square root 3 2 square root 3 8 8 square root 3

Answers

Answer:

8

Step-by-step explanation:

[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]

[tex] x = 4 \times 2 \\ x = 8[/tex]

Find an equation for the line that passes through the points (2, 3) and (-6, 5).

Answers

So the answer is -1/4x+3.5, thats the answer ok

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

Need Help. Order of operation 1/35 * 1/22 I get a different answer

Answers

Answer:

[tex]\frac{1}{770}[/tex]

Step-by-step explanation:

[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]

Answer:

1 / 770.

Step-by-step explanation:

1/35 * 1/22

= 1*1 / 35*22

= 1 / 770.

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.

[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

Which graph shows the solution to the inequality –0.5x ≤ 7.5? A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded. A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.

Answers

Answer:

its definetely A.

Step-by-step explanation:

i got it right on my assignment

Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.

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Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.

Answers

Answer:

the answer is d

Step-by-step explanation:

i did whhat the other person said and got it right

Answer:

D

Step-by-step explanation:

if a man walks for 6 miles at a steady speed of 3 mph how long will it take him

Answers

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

help me out please!!!!

Answers

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What is the width of the frame?​

Answers

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

Definitions of ASA SAS AAS, can someone dumb it down plz?

Answers

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

Use factoring to solve. *

x^2-4x-12=0

please only give me the right answer I really need it

Answers

Answer:
x = 6, -2

Explanation:
x^2 - 4x - 12 = 0
(x - 6)(x + 2) = 0

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?

Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.

Answers

Answer:

multiply the area of the original by 1/2

Step-by-step explanation:

when cutting a shape in half, its area is also halved, but not all dimensions change

Answer:

Divide the area of the original figure by 4.

Step-by-step explanation:

Area of current figure:

A= ab

Area of new figure:

A'= 1/2a*1/2b= 1/4ab= 1/4A

So the area of the original figure to be divided by 4

Last answer option is correct

LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles

Answers

I think it’s a because it sounds right idk

Answer:

A) Constructing a line perpendicular to a point on a line

A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record

Answers

Answer: 529 possible outcomes

Step-by-step explanation:

You square the number of games as many times as the outcomes (win or loss)

2 outcomes = 23 * 23

23 * 23 = 529

Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.

529 .
Basically all you do is find an even number of possible wins and loses. 23 games with two outcomes 23*23=529

I want help! Please

Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.​

Answers

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

Find the equation of the line shown.

Answers

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

Write the coefficients of x² in each of the following 1) 2+x²+x 2) 2-x²+x³

Answers

Answer:

(1) 1 (2) 0

Step-by-step explanation:

Looking at 1) 2+x²+x;

The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.

2) Looking at 2) 2-x²+x³

There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0

Answer:

1) 1 and 2) -1

Step-by-step explanation:

1) 2+x²+x

+x² ⇒ coefficient of x² is 1

2) 2-x²+x³

-x² ⇒ coefficient of x² is -1

Find n so that C(n, 3) = P(n, 2).

Answers

Answer:

n = 19/6

Step-by-step explanation:

Formula for C(n,r) = n!/(r!(n-r)!)

C(n,3) = n! /( 3! * (n - 3)!)

Formula for P(n,r) = n!/(n-r)!

P(n,2)= n!/(n-2)!

C(n, 3) = P(n, 2)

n! /( 3! * (n - 3)!) = n!/(n-2)!

[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply

n!(n-2)! = n! 3! (n-3)!

(n-3)! = (n-3)(n-2)!

so n!(n-2)! = n! 3! (n-3)! becomes

n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!

1  =6(n-3)

1 =6n -18

19 = 6n

n = 19/6

Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?


$____

Answers

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

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