Mathematics High School

Enter the solution to the inequality in the box.



8+4(x−3)+3x≤24

Answers

Answer 1
8+4x-12+3x<=24
-4+7x<=24
7x<=28
X<=4
Answer 2

Answer:  The required solution is [tex]x\leq4.[/tex]

Step-by-step explanation:  We are given to solve the following inequality :

[tex]8+4(x-3)+3x\leq24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given inequality, we must find the value of the unknown variable x.

From inequality (i), we have

[tex]8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq\dfrac{28}{7}\\\\\Rightarrow x\leq4.[/tex]

Thus, the required solution is [tex]x\leq4.[/tex]

Related Questions

In the diagram, SR = and QR = . What is the perimeter of parallelogram PQRS?

A. √10 units
B. 8√2 + 2√10 units
C. 16√2 units
D. 8√2 + 8 units

Answers

Answer:

B. [tex]8\sqrt2+2\sqrt{10}[/tex] units

Step-by-step explanation:

We are given that a parallelogram PQRS in which point P(-2,5), Q(2,1),R(1,-2) and S(-3,2).

We have to find the perimeter of parallelogram PQRS.

Distance formula : [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

[tex]SR=\sqrt{(1+3)^2+(-2-2)^2}=4\sqrt2[/tex]units

[tex]QR=\sqrt{(1-2)^2+(-2-1)^2}=\sqrt{10} units[/tex]

Now, the perimeter of parallelogram =2(SR+QR)

The perimeter of parallelogram =[tex]2(4\sqrt2+\sqrt{10})=8\sqrt2+2\sqrt{10} units[/tex]

Answer:B. [tex]8\sqrt2+2\sqrt{10}[/tex] units

Darrel is currently 20 feet below sea level. which correctly describes the opposite of darrel's elevation?

Answers

Answer:

Darrel is 20 ft above sea level.

Step-by-step explanation:

We have been given that Darrel is currently 20 feet below sea level.

This means that Darrel's elevation would be [tex]-20[/tex] ft.

The opposite of Darrel's elevation would be negative of [tex]-20[/tex] ft.

[tex]-(-20)=20[/tex]

Since opposite of Darrel's current elevation is positive 20 ft, therefore, Darrel is 20 ft above sea level.

Your Turn: Find the measure of angle P below. Show your work. *

Answers

2x+5+(7x-14)=180

9x-9=180

9x=189

x=21

2x+5=P

2(21)+5= 47

P=47
Check the picture.

The figure shows lines m, n and the line through points A And B, call it [tex]l_{AB}[/tex].

1. The angles ABC and CBP  are  "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus, 

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.


2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

check the second picture, notice the F shape formed by CBP and P.

Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°


Answer: 133°

Hi this is for texaschic101 mainly but anyone else is fine too.
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I’ve just done this question based on what texaschic101 told me on the other question, can anyone check if I’ve done it right? Thanks
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Question is find the values of x and y in the diagram.

Answers

Because the two angles on the right add to 180 degrees, we can create this system:

[tex](2x + 25) + y = 180[/tex]

We can also prove that [tex]3x = 2x + 25[/tex], which, when solved, shows that [tex]x = 25[/tex]. 

When plugged in to the original equation, we find that y = 105 degrees. 

How to find the angle of a non right triangle with its sides?

Answers

Essentially, you find the cos, sin, or tangeant of each angle. Take, for example, sin. It's opposite/hypotenuse, so you plug that in for an angle and find that sinx=for example, 3/4. After that, you'd find arcsin (3/4) and that's your angle!

Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )

Answers

A = π(r²) --- r is radius

C = πd --- d is diameter

First, the circumference must be found. If the circumference is 15.7, plug it in.

15.7 = πd

We know what pi is.

15.7 = 3.14 (d)

Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.

A = 3.14(2.5²) 

2.5 to the second power is 6.25.

A = 3.14(6.25)

Tada! Multiply, and you're left with 19.625!

circumference of a circle= 2πr = 15.7
from this radius r= 15.7/ 2π
r= 15.7/(2x 3.14)
r= 15.7/ 6.28 = 2.5
therefore area = π r^2= π x r x r
= 3.14 x 2.5 X 2.5 = 19.625 sq units

Which function is a quadratic function? c(x) = 6x + 3x3 d(x) = x – 8x4 p(x) = –5x – x2 k(x) = 2x2 + 9x4

Answers

quadratic means 2nd degree

means highest power of variable is 2


c(x)=6x+3x^3
3rd degree, not quadratic

d(x)=x-8x^4,
4th degree, not quadratic

p(x)=-5x-x^2
2nd degree, it's quadratic

k(x)=2x^2+9x^4
4th degree, not quadratic

answer is [tex]p(x)=-5x-x^2[/tex]

Answer: –5x – x2

Step-by-step explanation:

edge.

How many subsets of three elements each exist in a set of six elements?

Answers

How many subsets of three elements each exist in a set of six elements?
6C3 = (6*5*4)/(1*2*3) = 20

(01.05) given the point (4, 5) and the slope of 6, find y when x = 24. (1 point) 118 144 125 149

Answers

the y is  01.05 and then you have x is equal to 24

Write each statement in if-then form.

3. “Those who do not remember the past are condemned to repeat it” (George Santayana)

4. Adjacent angles share a common vertex and a common side

Answers

3. If you don't remember the past,then you will be condemned to repeat it. 4. If two angles share a common vertex and a common side then they are Adjacent angles.

When asked his age, the algebra teacher said, “if you square my age, then subtract 23 times my age, the result is 50.” how old is he?

Answers

Let the age be x.

Given,

[tex] x^{2} - 23x = 50[/tex]

[tex] x^{2} - 23x - 50 = 0[/tex]

[tex] x^{2} - 25x + 2x - 50 = 0[/tex]

[tex] x(x -25)+2(x-25)=0[/tex]

[tex](x+2)(x-25)=0[/tex]

Hence, x = -2 or 25.

Since, the age of the teacher cannot be in negative, the age of the teacher is 25 years.

solve the literal equation for y a=9y-3yx

Answers

Final answer:

To solve the literal equation for y in the given equation a=9y-3yx, we can rearrange the terms and isolate y on one side. The solution for y is (a - 9y) / (-3x).

Explanation:

To solve the literal equation for y, we need to isolate y on one side of the equation.

Given the equation a = 9y - 3yx, we can start by rearranging the terms.

Subtract 9y from both sides:

a - 9y = -3yx

Divide both sides by -3x:

(a - 9y) / (-3x) = y

So, the solution for y is (a - 9y) / (-3x).

Final answer:

To solve the given literal equation for y, factor out y and then divide by (9 - 3x) to obtain the equation y = a / (9 - 3x), which allows y to be expressed in terms of a and x.

Explanation:

To solve the literal equation for y given as a = 9y - 3yx, we want to isolate y on one side of the equation. To do this, we first factor out y from the terms on the right side of the equation:

a = y(9 - 3x)

Next, we divide both sides of the equation by (9 - 3x) to get y by itself:

y = a / (9 - 3x)

This equation represents the value of y in terms of a and x. In the context of a linear equation, such as y = 9 + 3x, the number 9 is the y-intercept (denoted as the b term), and the number 3 is the slope (denoted as the m term).

Can someone please clearly explain how to correctly work out Q6? Much appreciated

Answers

s =1/2(u+v)t

u = 16, v=16, t=90

s = 1/2(16+16)90

s = 1/2(36)90

s = 16*90

s = 1440

What is the value of x? 3/ 4 x+5− 1 /2 x=3           please help


Answers

Subtracting 5 from both sides, we get 3x/4-x/2=-2. Next, we can multiply both sides by 8 (since 4*2=8) to get 6x-4x=-8=2x. Dividing both sides by 2, we get x=-4

The length of a rectangle is 3 more than 4timesthe width . If the length of the rectangle is 27 feet what is the width

Answers

To answer this question, you need to translate the description into a formula. The formula that can be made should be: length of rectangle= 3+ (4* rectangle width). You already know the length, so you can find the width by inserting it to the formula. The calculation would be:

Length= 3+ 4*width
27ft= 3ft+ 4*width
4*width= 27ft-3ft= 24ft
width= 6ft

A supplement of a given angle is 4 times as large as the complement of the angle. what is the measure of the angle?

Answers

Supplementary angles add to 180 while complementary angles add to 90 degrees.

(180-x)= 4(90-x)

Distribute on the right
180-x=360-4x

Add 4x to both sides
180+3x=360

Subtract 180 from both sides
3x=180

Divide both sides by 3
x=60

Final answer: 60 degrees

A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number of seats in each row.

Answers

We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12. Let r = # of rows and s = # of seats in a row. Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows. Then r x (r + 12) = 1564 or r**2 + 12*r - 1564 = 0, which is a quadratic equation. The general solution of a quadratic equation is: x = (-b +or- square-root( b**2 - 4ac))/2a In our case, a = 1, b = +12 and c = -1564, so x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1 = (-12 +or- square-root( 144 + 6256 ) ) / 2 = (-12 +or- square-root( 6400 ) ) / 2 = (-12 +or- 80) / 2 = 34 or - 46 We ignore -46 since negative rows are not possible, and have: rows = 34 and seats per row = 34 + 12 = 46 as a check 34 x 46 = 1564 = total seats

What is the number that is one half of one quarter of one tenth of 400?

Answers

1/10 of 400 = 40

1/4 of 40 = 10

1/2 of 10 = 5

the number is 5

Help,, what is y??????????????????

Answers

check the picture below.

A line has a rise of 6 and a slope of 1/20. Find the run of the line. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar.

Answers

y=0.05x+6

6 is the y intercept

.05 or 1/20 is the slope

Answer:

120 is the run of the line

Step-by-step explanation:

Hello, i think I can help you with this

By definition , the slope of a line is given by:

slope(m)=Δy/Δx

where m is the slope, Δy is the rise, and Δx is the run

Step 1

isolate the run (Δx)

m=Δy/Δx

m=Δy/Δx

m*Δx=Δy

Δx=Δy/m

step 2

pute the values into the formula

Let

Δy=6

m=1/20

Δx=Δy/m

Δx=6÷(1/20)

Δx=120

the run of the line is 120

Do not hesitate to ask me any questions,Have a fantastic day.

What is the annual bonus for a salesperson who sells 55 cars?

A.150
B.825
C.1,500
D.8,250

Por favor necesito
ayuda(please i need help)

Answers

825
1,800/120 = 15
55 x 15 = 825

Answer:

$825 dollars

Step-by-step explanation:

is the answer i belive hope this helps

k over 2 -10 = 25 solve for k

Answers

(k/2)-10= 25

Add 10 to both sides
k/2=35

Multiply both sides by 2
k=70

Final answer: k=70
[tex] \frac{k}{2}- 10 = 25 \\ \frac{k}{2} + (-10) = 25 \\ \\ Add10: \frac{1}{2}k - 10 + 10 \\ = 25 + 10 \\ 25 + 10 = 35,right? \\ \frac{1}{2}k = 35 \\ \\ Multiply2: 2( \frac{1}{2}k) (Cancel) \\ = 2(35) (Keep) \\ 2(35)= 70, right? \\ \\ \\ \\ Answer: K = 70 [/tex]

good luck on your assignment and  enjoy your day! 

~[tex]MeIsKaitlyn:)[/tex]

Is the following relation a function?

Circle centered at the origin with radius 1

Yes
No

Answers

No, if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function


Answer:

Nooooooooooooo

Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary have?

Answers

60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8

What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.

Answers

2 * 1 = 2 
2 + 1  = 3

here the product is less than the sum so the conjecture is not true for these 2 numbers  so its not true for all positive numbers.

Please help fast and answer all questions thank you.

Answers

1) a. OSL
2) i think is b. linear pair
3) d.vertical angles

What is the difference between associative and distributive property?

Answers

Distributive property is when you are distributing the problem into a smaller problem. Associative property is when you have a problem with just addition or subtraction, and you can put the parenthesis anywhere and still get the same answer

You earned 34,000 and your total tax due was 6,200 what was your average tax rate

Answers

0.18235294117
So basically, this reads as 18% tax rate.
That be some expensive right there!

Please help! Giving Brainliest! 1.How many college students are majoring in elementary education?
A.30
B.70
C.300
D.There is not enough information to tell.
2.Which major has the fewest number of students? (1 point)
A.Business
B.Computer programming
C.Elementary education
D.Engineering
E.Medical

Answers

1. Unless you have the total students, it would be D, because we don't know how many total students there are, so we don't know how many students 100% would be.

2. E. There are only 7% of the students who major in a medical area. So say out of 100 students, 7% of that would be 7 people, and 19% would be 19 people, and so on. So therefore, the least people are majoring in a medical field.

15% of 20 is _____.
3
30
300

Answers

15% of 20 is 3 

Hope this helped..

Answer:

It would be 3

Step-by-step explanation:

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