How to you get x with steps?

Answer : The expression for the given statement is [tex]5\leq 4x-2.5[/tex]

Step-by-step explanation :

We are given a statement:

5 is no greater than 4 times a number x minus 2.5

'no greater than' in the above statement means [tex]\leq[/tex].

'minus' in the above statement means subtraction operation.

'times' in the above statement means multiplication operation.

Thus, the expression for the given statement is [tex]5\leq 4x-2.5[/tex]

The value of 'x' will be,

[tex]5\leq 4x-2.5\\\\\5+2.5\leq 4x\\\\7.5\leq 4x\\\\x\geq 1.875[/tex]

We want to write the given statement as an inequality, and then solve it.

The inequality is: 5 ≤ 4*x - 2.5

The solution is: 1.875 ≤ x

The given statement is:

"5 is not greater than 4 times a number x minus 2.5"

The "5 is not greater than..." is written as:

5 ≤

So 5 is smaller than or equal to the thing at the right.

The complete inequality will be:

5 ≤ 4*x - 2.5

Now to solve this, we start by adding 2.5 in both sides:

5 + 2.5 ≤ 4*x

7.5 ≤ 4*x

Now dividing both sides by 4 we get:

7.5/4 ≤ x

1.875 ≤ x

If you want to learn more, you can read:

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y² - 4y - 2x - 4 = 0

           +2x +4   +2x + 4

y² - 4y              = 2x + 4

            +4                 +4      

 (y - 2)²          = 2x + 8

             -8              -8

 (y - 2)²  - 8   = 2x

[tex]\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}[/tex]

[tex]\frac{1}{2}[/tex](y - 2)² - 4 = x

x = [tex]\frac{1}{2}[/tex](y - 2)² - 4

Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)

Answer: B) 122 and 58

Supplementary angles add to 180 degrees. In other words, they form a straight angle or a straight line when you combine them together (make sure they don't overlap and that there isn't any gap between them).

Choice B is the only pair of angles where they add to 180 since 122+58 = 180. The values in choice A and choice D add to 90; the values in choice C adds to 270.

Note: complementary angles add to 90 degrees. One way to remember "supplementary" vs "complementary" is to think "S for straight, C for corner". By "corner", I mean a 90 degree corner.

( - ∞, ∞ )

f(x) is defined for all real values of x

Final answer:

Using a system of linear equations, it was determined that 57 child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20.

Explanation:

To determine how many child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20, we can set up a system of linear equations. Let's define C as the number of child tickets and A as the number of adult tickets. We know that child admission is $6.00 and adult admission is $9.90.

The first equation represents the total number of tickets sold:
C + A = 155

The second equation represents the total sales:
6C + 9.9A = 1312.20

To solve this system, we can use either substitution or elimination. Here, we'll go with substitution:

So, 57 child tickets were sold that day.

Answer:

$38.40

Step-by-step explanation:

It is right on Plato

Answer:

[tex]x=3\sqrt{3i} \\or\\x=-3\sqrt{3i}[/tex]

Step-by-step explanation:

What is the solution of the equation when solved over the complex numbers?

x2+27=0

Enter your answers, as exact values, in the boxes.

x =  [tex]3\sqrt{3i}[/tex]  or x =[tex]-3\sqrt{3i}[/tex]

The value of the measure of ∠K is,

⇒ ∠K = 46°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle JKL,

⇒ ∠J = 101°

⇒ ∠L = 33°

Now, We know that;

⇒ ∠J + ∠K + ∠L= 180°

⇒ 101° + ∠K + 33° = 180°

⇒ ∠K + 134° = 180°

⇒ ∠K = 180 - 134

⇒ ∠K = 46°

Thus, The value of the measure of ∠K is,

⇒ ∠K = 46°

Learn more about the triangle visit;

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1. d. d = 66t

The maximum speed of the wildebeest is v=66 ft/s. Speed is defined as the ratio between the distance covered (d) and the time taken (t):

[tex]v=\frac{d}{t}[/tex]

Re-arranging the formula, we get

[tex]d=vt[/tex]

And substituting v=66 ft/s, we find

[tex]d=66t[/tex]

2. c. y = 5 - n

In fact, we can check that this rule satisfies all the numbers of the sequence:

n=3 --> y = 5 - 3 = 2

n=4 --> y = 5 - 4 = 1

n=5 --> y = 5 - 5 = 0

n=6 --> y = 5 - 6 = -1

3. d. $5.50, $11.00, $16.50; E = 5.50h

In fact, if we use the rule E=5.50 h, we see that the table is completed as follows:

h=1 --> E=(5.50)(1 h)=5.50$

h=2 --> E=(5.50)(2 h)=11.00 $

h=3 --> E=(5.50)(3 h)=16.50$

h=4 --> E=(5.50)(4 h)=22.00$

h=5 --> E=(5.50)(5 h)=27.50$

4. c. if d ≥ 5 then C = 4.70d, if d < 5 then C = 4.70d - 1; $17.80, $32.90

If the number of days is more than 5, the cost is 4.70$ per day, therefore c=4.70d (where d is the number of days); if the number of days is less than 5, one dollar is returned, so the cost will be C=4.70d-1. By applying this rule, we can calculate the rental cost after d=4 days and d=7 days:

- d=4 --> c=4.70*4-1=17.80$

- d=7 --> c=4.70*7=32.90$

5. b. y = 3x + 3

In fact, we can check this is the correct rule by substituting the numbers:

x=0 --> y=3*0+3=3

x=1 --> y=3*1+3=6

x=2 --> y=3*2+3=9

x=3 --> y=3*3+3=12

x=4 --> y=3*4+3=15

7. x -2 -1 0 1 2

y (-16 ) (-6 ) (4 ) (14 ) (24 )

The rule we have to apply is:

-10x + y = 4

Re-arranging it, we can solve for y:

y = 10x + 4

So, let's substitute the different values of x:

x=-2 --> 10*(-2)+4=-20+4= -16

x=-1 --> 10*(-1)+4=-10+4= -6

x=0 --> 10*0+4= 4

x=1 --> 10*1+4=10+4= 14

x=2 --> 10*2 +4 =20+4 = 24

8. y = -5x - 1

In fact, if substitute the different values of x given by the problem, we find:

x = -2 --> y = -5*(-2) -1= 10 -1 = 9

x = -1 --> y = -5*(-1) -1 = 5 -1 = 4

x = 0 --> y = -5*0 -1 = -1

x = 1 --> y = -5*1 - 1 = -6

x = 2 --> y = -5*2 -1 = -11

Answer:

1)  D

2) C

3) D

4) C

5) B

6) B

Step-by-step explanation:

speed=d/t=200X2/5=80km/hr

d=sXt=13X80/4=260km

865/110=173/22hr=173X60/22=173X30/11=467min

Answer:

the answer is y=1/2

Step-by-step explanation:

Answer:the answer is y=1/2

Step-by-step explanation:

[tex]\left(\dfrac{1}{3}\right)^2\cdot\left(\dfrac{1}{3}\right)^x=\dfrac{1}{729}\\\\\left(\dfrac{1}{3}\right)^{2+x}=\left(\dfrac{1}{3}\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^{n+m}[/tex]

I believe the answer would be 46 students

> 46 Students in Tom's school are Left-Handed

Answer:

Domain =R-{6}

Range =R-[-2,0)

Step-by-step explanation:

edge 2021

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

4 refrigerators = 1000

2 dishwashers = 300

add em up to 1300

To answer this, you will first need to simply the expressions.

[tex]4\sqrt{27} = 12\sqrt{3}[/tex]

[tex]6\sqrt{75} = 30\sqrt{3}[/tex]

Now with the expressions simplified, you'll add the two together getting [tex]42\sqrt{3}[/tex]

So firstly, we have to simplify the radicals. Using the product rule of radicals, simplify these radicals as such:

4√27 = 4 × √9 × √3 = 4 × 3 × √3 = 12√3

6√75 = 6 × √5 × √15 = 6 × √5 × √5 × √3 = 6 × 5 × √3 = 30√3

Now, add these two simplified radicals as such:

12√3 + 30√3 = 42√3

42√3 is your final answer.

Range represents all of the y-values possible for the function.  

What is the highest point on the graph? The coordinate is (2, 50) so the y-value of the highest point is 50.

What is the lowest point on the graph? there isn't one because it continues downward to infinity.

Range: (-∞, 50]

I hope this helped!

Here is the equation:

[tex]4x+y=z[/tex]

You need to find x. To do that, the variable must be alone on one side. On the right side, you have:

[tex]4x+y[/tex]

To leave 4x by itself, you need to remove y by doing the opposite sign of it. Since it's +y, you need to -y(subtract y) from both sides.

[tex]4x+y-y = z-y \\ 4x=z-y[/tex]

Now the variable is alone. You have 4x and you need to find x alone. To do that, you need to divide both sides by 4.

[tex]\frac{4x}{4} = \frac{z-y}{4}[/tex]

Your answer is:

[tex]x = \frac{z-y}{4}\ \checkmark[/tex]

If you have any questions, feel free to ask! :)

(a) 32 orange marbles

the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )

the ratio of green : orange = 3 : 8 ( equal ratio )

divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles

3 parts → 12

8 parts → 12 × [tex]\frac{8}{3}[/tex] = 32 orange marbles

Answer : option A

To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile

Inter quartile range is the middle 50% of the given range of scores.

The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%

From the diagram , we can see that

Upper quartile = 89

lower quartile = 65

So range is 65%  to 89%

Answer: Isaiah earned $400.16

Step-by-step explanation:

1. You have that Isaiah earns a weekly salary of $320 and a comission of 3% on all of his sales and the last week this sales were $2,672.

2. Therefore, to solve this problem you must caculate the 3% of $2,672 and add this result to his weekly salary, as following:

[tex](2,672)(0.03)=80.16[/tex] dollars

[tex]320+80.16=400.16[/tex] dollars