The volume of the cube below is 1/8cm^2 . What is the value of x?

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 : 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

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[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]

Answer:

Domain =R-{6}

Range =R-[-2,0)

Step-by-step explanation:

edge 2021

Answer:

$38.40

Step-by-step explanation:

It is right on Plato

We are given statements :  Premise: If the sides of a triangle are all 4 cm, then the triangle is equilateral.

Premise: The triangle is equilateral.

According to law of Detachment : Statement 1: If q, then q.

and Statement 2: p

   Conclusion: q.

According to given reasoning :

p : If the sides of a triangle are all 4 cm.

q :  Then the triangle is equilateral.

Therefore, Statement 1 : If( the sides of a triangle are all 4 cm), then (the triangle is equilateral).

Statement 2:  (the triangle is equilateral).

Conclusion : The sides of the triangle are 4 cm.

Therefore, option B is correct "Law of Detachment".

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!

4 refrigerators = 1000

2 dishwashers = 300

add em up to 1300

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:

A number is prime if its only divisors are 1 and the number itself.

Out of your numbers, 36 and 38 are even, and thus divisible by 2, so they aren't prime.

Similarly, 35 ends with 5, so it's divisible by 5, and is not prime.

37 is divisible only by 1 and 37, and thus it's prime.

Out of the numbers listed (36, 37, 35, 38), the number 37 is the only prime number, as it is the only number that has no positive divisors other than 1 and itself.

The question asks which of the listed numbers is a prime number. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Therefore, we need to determine if any of the numbers given (36, 37, 35, 38) have divisors other than 1 and themselves.

36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, and 36, so it is not a prime number.

37 has no divisors other than 1 and itself, making it the prime number in the list.

35 is divisible by 1, 5, 7, and 35, so it is not a prime number.

38 is divisible by 1, 2, 19, and 38, so it is not a prime number.

Therefore, the number 37 is the only prime number from the list provided.

Answer:

The given function is

  y≥2-2x

Writing this inequality in equation form and then in slope intercept form

  [tex]y=2-2x\\\\2x+y=2\\\\\frac{2x}{2}+\frac{y}{2}=1\\\\ \frac{x}{1}+\frac{y}{2}=1[/tex]

Option D

Graph of a solid line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region above the solid line is shaded.

The correct representation of the inequality y≥2−2x is: Graph of a solid line on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A solid line passes through the ordered pair (0, -2) and (1, 0). The region above the solid line is shaded.

In mathematics and data visualization, a graph is a visual representation of data or mathematical relationships. It typically consists of points (nodes or vertices) connected by lines or curves (edges) that show relationships or connections between the points. Graphs are used to represent various data structures and relationships, such as in graph theory, network analysis, and data plotting.

This representation correctly shows a solid line (not dashed) and shades the region above the line, which indicates the solution to the inequality y ≥ 2 − 2x.

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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°

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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! :)

Let [tex] b [/tex] be the number of three points baskets, and [tex] t [/tex] be the number of three points tries. We are given

[tex] \dfrac{b}{t} = \dfrac{2}{7} \iff 2t=7b [/tex]

Also, we know that the team scored 30 points from three points baskest. Since these baskest are worth 3 points, we have

[tex] 3b=30 \iff b = 10 [/tex]

Now, we also know that [tex] 2t=7b [/tex]. If we plug the known value for b, we can solve for t:

[tex] 2t = 7\cdot 10 \iff 2t = 70 \iff t = 35 [/tex]

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: The combined mass of the quarters is  11.863 g.

Step-by-step explanation:

1. You have the following information given in the problem above:

- The mass of the modern quarter is 5.623 g.

- The mass of the older silver quarter is 6.24 g.

2. Therefore, to calculate the combined mass of the quarters, you only need to add the mass of the modern quarter (5.623 g) and the mass of the older silver quarter is (6.24 g), as you can see below:

Let's  call the combined mass of the quarters [tex]x[/tex]. Then:

[tex]x=5.623g+6.24g\\x=11.863g[/tex]

Answer:

11.863 g

Step-by-step explanation:

because if you add those 2 numbers then it will give you 11.863 g

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

Answer is B ! Good luck bro

The domain of a graph is the set of input values the graph can take.

The graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.

The domain is given as:

[tex]\mathbf{-4 \le x \le -1}[/tex]

The inequalities at -4 and -1 are both "less than or equal to"

In inequalities, "less than or equal to" is represented by a closed circle

This means that, the circles at x = -4 and x =-1 on the graph must be a closed circle.

From the given options, we have the following observations

Hence, the graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.

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( - ∞, ∞ )

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

James hand is bigger because when you compare decimals you make sure that there's an equal amount of numbers so 0.17 becomes 0.170 and 0.165 stays the same so James's hand is bigger

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

d=sXt=13X80/4=260km

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

I believe the answer for this question would $be:

$15+$1.50 = $16.50

$25 / $16.50 = 15.45

I believe that he ran 15 - 15.5 laps.

x - number of miles

[tex]0.19x+75\geq100\qquad|\text{subtract 75 from both sides}\\\\0.19x\geq25\qquad|\text{divide both sides by 0.19}\\\\x\geq132[/tex]

Multiplication and division have the same precedence, binding tighter than addition and subtraction.  Among operators with the same precedence we go left to right.

So the first operation to do is division.   ÷

PEDMAS notwithstanding if your expression depends on the details of the left to right rules, you're better off adding parenthesis to make things clearer.

17.

x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).

18.

m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)

19.

k = 10 is not solution of 2k - 3 < 1 because:

put the value of k to the inequality:

2(10) - 3 < 1

20 - 3 < 1

17 < 1 FALSE

(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