Mathematics Middle School

The volume of a cube depends on the length of its sides. This can be written in function notation as a v(s). What is the best interpretation of v(3)= 27?

Please show all work.

A. 3 of these cubes will have a total of 27 cubic feet

B. 3 sides of the cube have a total length of 27 feet

C. A cube with side length's of 3 feet has a volume of 27 cubic feet.

D. A cube with a volume of 3 cubic feet has side lengths of 27 feet

Answers

Answer 1
Hey there!

The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. 

I hope this helps!

Related Questions

Sarah's garden is 11.72 m long. Round to the nearest tenth of a meter

Answers

11.72 m, rounded off to the nearest tenth of a meter, is 11.7.
Since the tenths place is the first number after the decimal, and that when rounding you go up if it’s a number 5-9, you would round to 11.7

Hope it helped! :)

Jason is standing on the ground and throws a ball vertically upward with an initial speed of 80 ft/sec.  Its height after t seconds is given by h = 80t-16t^2 
a) How high does the ball go?  
b)  How many seconds does it take to reach maximum height?
c) When does the ball hit the ground?   

Answers

Hello, I think you are missing extra information, another formula to go with this problem. 
Using calculus,
the velocity equation will be the derivative of the h function that gives.
v=80-32t

At its highest point the velocity=0, so we set v=0 and solve for t.
0=80-32t
32t=80   t=2.5 seconds
the height at this point would be
h=80(2.5)-16(2.5)^2
h=200-16(6.25)=200-100=100
A) h=100ft

B) at t=2.5 seconds

The ball will take an additional 2.5 seconds to come back down. Therefore the total time for it to hit the ground would be 
C) 5 seconds.

Factor. 3x(y−4)−2(y−4) Enter your answer in the box

Answers

( 3x - 2) ( y - 4)  Is the answer

The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The expression is,

3x(y - 4) - 2(y - 4)

Now, Solve the expression as;

The expression is,

3x(y - 4) - 2(y - 4)

Take (y - 4) as common;

(y - 4) (3x - 2)

Thus, The factor of the expression 3x(y−4)−2(y−4) are (3x - 2) (y - 4).

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Write the equation of a line with slope m that passes through the origin

Answers

This is the negative reciprocal of the slope. The solution can be obtained by solving y=−0.5x+b using the information given. It is also worth knowing that if the line passes through the origin, the y intercept is already determined (it is 0 since the linewill pass through the y axis at 0)

an ice cream factory makes 200 quarts of ice cream in 10 hours . How many quarts could be made in 12 hours? what was that rate per day ?

Answers

200=10x divide by 10 and get 20=x. they make 20 quarts of ice cream every hour. multiply by 12, we get 240=12x. they can maek 240 quarts in 12 hours
first you need to determine the ammount of icecream per hour, so 200 divided by 10.    you get 20 quarts per hour.  so if you go for twelve hours you do 20 times 12 which is 240 so, 240 per 12 hours, and you have 24 hours in a day so multiply 240 times 2 and you get 480 quarts per day

Am I correct? Please check my answer

Answers

yes your right ...."...............................

3.695 to 4 name the place value to which each number was rounded

Answers

3.695 was rounded to the nearest whole number. In order to do this, you look at the digit to the right, which would be the tenths place. Since the number in the tenths place is greater than 5, you rounded up. (:

Marco wants to set up 12 small turbines with 3 blades each.If 4 wind turbines blades cost $79.64,how much will all the blade cost?

Answers

Hello!


If Marcos has 12 turbines with 3 blades / turbine, then 36 blades. If 4 blades cost $ 79.64, then how much do the 36 blades cost?

Let's make a simple three rule:

Blade ___ price

4 ----------- 79.64
36 --------- y


4 * y = 36 * 79.64
4y = 2,867.04
[tex]y = \frac{2,867.04}{4} [/tex]

y = 716.76

The 36 blades cost $ 716.76

If Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64 then $716.76 costs for all blades.

What is Equation?

Two or more expressions connected with an equal sign is called ad equation.

Given Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64, then we have to find the cost of all blades.

Each turbine has 3 blades, so for 12 tubines we have

3×12=36 blades.

If 4 blades cost is  $79.64, then we have to find cost of 36 blades.

Let y be the cost of 36 blades.

4 /36= 79.64/y

Use cross multiplication,

4 * y = 36 * 79.64

4y = 2,867.04

y=716.76

Therefore 36 blades cost is $ 716.76.

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Tony is the best pizza delivery man in the city. He has been offered a job from Pizza Tent, which has given tony his pay options in the following function. S represents Tonys salary, and p represents the number of pizzas he delivers. S= 2.75 + 52

Answers

S= $54.75

Do you have to solve to get p?

Eleni works out 15 fewer minutes on Tuesday than on Monday. She worked out 70 minutes on Tuesday.

Use the five-step problem-solving plan.

How many minutes did she work out on Monday?




Enter you answer in the box.

______min

Answers

We know the value of Tuesday, let's make this variable "T", is 70.
We also know the value of Monday, let's make this variable "M", is 15 minutes longer than the value of Tuesday.

Using these variables and the information provided we can make the expression: M=T+15
M=70+15
M=85
This means Eleni worked for 85 minutes on Monday.
Hope this helps :)

Answer: 85 Minutes on Monday

Step-by-step explanation:

is 3.6666.... a rational number? explain

Answers

Yes it is a rational number 
Yes, because it repeats with a pattern. 
Hope this helps! Please let me know if I'm wrong :) 

sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour

Answers

The equation would be y=11x+33.

The x can be 0, 1, 2, 3, 4. It cannot be any other number than these 5.
Y is just whatever you get when you plug the x in for 0, 1, 2, 3, or 4

Answer:

The domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}

Step-by-step explanation:

Consider the provided information.

Sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour.

First write the function as shown.

Let the number of tickets are x and she already sold $33 worth of tickets.

Therefore the function is: [tex]f(x)=11t+33[/tex]

For t=0

[tex]f(0)=11(0)+33=33[/tex]

For t=1

[tex]f(1)=11(1)+33=44[/tex]

For t=2

[tex]f(2)=11(2)+33=55[/tex]

For t=3

[tex]f(3)=11(3)+33=66[/tex]

For t=4

[tex]f(4)=11(4)+33=77[/tex]

Hence, the domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}

Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.

What was the submarine's depth relative to sea level after the first minute?

Answers

if it were 4 then it would be 1 1/3 for one minute

Answer:

[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]

Step-by-step explanation:

Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.

Total time = 3 minutes

[tex][tex]\texttt{Total depth descended in 3 minutes = }-\frac{4}{5}miles[/tex][/tex]

We need to find what was the submarine's depth relative to sea level after the first minute,

[tex]\texttt{Depth descended in per minute = }-\frac{\frac{4}{5}}{3}=-\frac{4}{15}miles[/tex]

[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15}\times 1=-\frac{4}{15} miles\\\\\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]

Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?

Answers

135 problems
or 60 problems

90/15=9

9*10=90

so your answer would be 90

Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

Answers

when you divide -8/2=-4 and 2/2=1
-4<1

when you divide by a negative number your sign changes
4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax+b

Answers

Final answer:

An inequality's solution set is determined by its specific properties. For a quadratic inequality, it can be solved by first finding the roots with the quadratic formula and then testing ranges between the roots to see where the inequality holds.

Explanation:

The question seems a bit incomplete, as there is no inequality provided related to constants a, b, c, and d. Typically, if we had a complete inequality, the solution set would depend on the specifics of the inequality. For instance, if we took a quadratic inequality, ax²+bx+c>0, or ax²+bx+c<0, we would solve it by finding the roots using the quadratic formula (-b ± √b² - 4ac) / 2a, which gives us the values of x where the expression equals zero, and testing regions determined by these roots to find where the inequality holds. However, without a specific inequality provided, it's difficult to describe the possible solution sets accurately.

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Mariah borrowed 15 books from the library last month. She's already read 2/5 of them. How many of the 15 books has she read?

Answers

She has read 6 of the books from the library.

The answer is:  "6 (six) books" .
___________________________________________
Explanation:
___________________________________________
The number of books is:  "(⅖)*15" .
___________________________________________
Method 1)
___________________________________________
   [tex] \frac{2}{5} [/tex] * 15 =  [(15 ÷ 5) * 2] = 3 * 2 = 6 .
___________________________________________
Method 2) 
___________________________________________

[tex] \frac{2}{5} [/tex] * 15 ;

= [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

= [tex] \frac{2*15}{5*1} [/tex] = [tex] \frac{30}{5} [/tex] = 6 .
_________________________________________________

Method 3)
_________________________________________________
[tex] \frac{2}{5} [/tex] * 15 ;

= [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

   → At this point, we can "cancel out" the "5" to a "1"; &
                            we can "cancel out" the "15" to a "3" ; 

                         → {Since:  "15 ÷ 5 = 3" ;  and since: "5 ÷ 5 = 1"}.

  → And rewrite as: = [tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex] ;

                    → At this point, we can rewrite as:

                                 " 2 * 3 " ;   and:  "2 * 3 = 6 " . 

             →  {since: "any value, divided by "1", equals that same value};

As such:  " [tex] \frac{2}{1} [/tex] = 2 ";  AND:  [tex] \frac{3}{1} [/tex] = 3 .

→  So: [tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex]  = {2 * 3} = 6 .

→ Alternately, we can continue as follows:

[tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex] ;

=  [tex] \frac{2*3}{1*1} [/tex] = [tex] \frac{6}{1} [/tex] = 6 .
______________________________________________________       
 
Method 4)
_____________________________________________________

[tex] \frac{2}{5} [/tex] * 15 ;

           = [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

           = [tex] \frac{2*15}{5*1} [/tex] 

               →  At this point, we can "cancel out" the "15" in the numerator to a "3"; & we can "cancel out" the "5" in the denominator to a "1" ;
                 {Since:  "15 ÷ 5 = 3" ; and since:  "5 ÷ 5 = 1" ;

               → and rewrite as follows:

               →  [tex] \frac{2*3}{1*1} [/tex] ;

           → At this point:  since:  "2 * 3 = 6" ;  &  since "1*1 = 1" ;
   
             We can rewrite as:    

→  [tex] \frac{2*3}{1*1} [/tex]   =  [tex] \frac{6}{1} = 6 .

Alternately, at the point when we have:

→  [tex] \frac{2*3}{1*1} [/tex]  ;  

→  We can ELIMINATE the "denominator" completely; 
Since the denominator, "(1*1)" is equal to "1" ; and since any value (e.g. the "numerator"); divided by "1" (e.g. the value of the denominator); equals the same value (e.g. that same value of the numerator);

As such, we can rewrite; and simplify; our expression (as follows):

   →  [tex] \frac{2*3}{1*1} [/tex]   = { 2 * 3 }  = 6 .
_________________________________________________
  
Method 5)
_________________________________________________

[tex] \frac{2}{5} [/tex] * 15 = ?

→ Convert "[tex] \frac{2}{5} [/tex]" to a decimal value:

Note:   [tex] \frac{2}{5} [/tex]  = ? / 10  ??? 

What value belongs in the "question mark" ??

→ Let us examine the denominators.

We have "5" and "10". 
→ 5 * (what value?) = 10?  (answer: "2" , by recognition);

→Nonetheless, to get that value:  "10 ÷ 5 = ? " ;  The answer is: "2" ; 

→ To confirm:  "5 * 2 =? 10?  Yes!

→ As such:  [tex] \frac{2}{5} [/tex] ;
           
                =  [tex] \frac{2*2}{5*2} [/tex] ;
                        
                = [tex] \frac{4}{10} [/tex] ; 

Convert this value to a decimal value; 
               
     →   4/10 =  4 ÷ 10 ;  
          → To divide by "10" ; Take the decimal value (The decimal value in "4" is considered the value "directly after the "4"); and move that value backward ONE decimal space; {since we are DIVIDING by "10" ; and "10" has ONE "zero"};  to get: ".4" ;   → Write as:  "0.4"  ;
 
        → [tex] \frac{2}{5} [/tex]  = [tex] \frac{4}{10} [/tex] =  0.4  .

Alternately, use a calculator to convert "[tex] \frac{2}{5} [/tex]" to a decimal value:

      →  [tex] \frac{2}{5} [/tex]  =  2 ÷ 5 = 0.4 .

Now, we can rewrite:

     →   [tex] \frac{2}{5} [/tex] * 15  ;

as:  "(0.4)(15)" ; & calculate:
 
      → (0.4)(15) = 6 .
_______________________________________________
 
 The answer is:  "6 (six) books" .
_______________________________________________

Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km left to bike. If Dina’s biking speed was 5 km/h, find Masha’s biking speed.

Answers

4 km/h because 10-2 because of the 2 km left which =8 then you divide that by 2 to figure out the km per hour which = 4 so 4 km/h

Answer:

4 km/hr

Step-by-step explanation:

Dina and Masha started out on a 10 km bike path at the same time.

Distance = 10 km

Dina’s biking speed was 5 km/h

Time taken by Dina is Distance / speed

So [tex]time (Dina) = \frac{10}{5} =2[/tex]

Time taken by Dina is 2 hours

Same time is taken by Masha but 2 km left

So distance covered by Masha in 2 hours is 10-2 = 8 km

We know speed = distance / time

[tex]speed of Masha = \frac{8}{2}=4[/tex]

Masha’s biking speed= 4km/hr


Which best describes the set of odd numbers between zero and ten?

Null set

{-9,-7,-5,-3,-1,1,3,5,7,9}

{1,3,5,7,9}

All real numbers

Answers

I believe it is all real numbers, but get an approval from someone else first

Diana and Sujit clean homes for a summer job they charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. Did they receive more than $82 for their job? Explain.

Answers

I'm sorry I don't know that

Jose paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?

Answers

Each ticket costed 11.75$
$11.75

If you need more information, just ask. I'll be happy to help. Also, if this helped you can you please say thanks + rate and put as brainliest (2 people have to answer first), trying to get a new badge!! Thank you so much!

Hope this helped! Have a great day!

HELP ASSAP WITH THIS QUESTION

Answers

y= 1/2x + 2 is the answer
the easiest way to determine the equation of this line is to 
1) determine the y-intercept, and 
2) use the given slope to come up with another point on the line.

Looking at the graph, you can easily see that the graph crosses the y-axis at (0,2).  Thus, the y-intercept is 2.  

Now let's determine the slope of this line:

Begin at the point (-4,0) (which happens to be the x-intercept).

Move 4 units from there to the right.  How many units UP must you then travel to reach the graph?  call this "m."

Then the slope is m/4.

Then the equation of the line is   y = mx + b, or

                                                     y=(1/2)x + 2     or    y = x/2 + 2

Rami bought 4 pairs of jeans his total bill including tax was $80.29 if each pair of jeans costs $18.50 before tax was added what tax rate did rami pay on the jeans

Answers

So first what you have to do is divide $80.29 by four that should be 18.50 plus tax then you subtract that amount from 18.50 to find your tax amount which is 1.5725 then what you do is you turn that number as a percentage that will be your answer


Answer:157.25% hope im correct
I basically did $18.50 x 4 = $64.00 then I subtracted $80.29 - $64.00 = $16.29

So the tax was $16.29

I hope this helped you!

Which is greater 9.1 or 9.099?

Answers

9.1 is better because if you were to make it as long as 9.099 it would be 9.100 which would still be bigger than 9.099. 
9.1 because the place value in the number is the most important...
bcuz 9.0 is less than 9.1 lol

Mark me as brainliest if i helped XD
:)

Theresa sells lemonade for $1, juice for $1.50, and coffee for $2. On one day, the number of coffees she sells is twice the number of lemonades she sells, and 4 more than the number of juices she sells. If she earns a total of $74, how many lemonades did she sell?

Answers

Vende 20 cafés
10 limonadas
Y 16 jugos

which of the following uses a variable to represent a person a place or thing that is unknown

Answers

Ah, I think you may have forgotten to include something in your question, but any letters are likely the variables of which they speak.

Answer: Mr. X

Step-by-step explanation: Unknown Person (variable)

FILL IN THE BLANK 1. x-7>10 X>______ 2. 3x ≤ 21 x ≤_____ 3. 5a-2<18 a<_____ 4. 2t + 8 ≥ -4(t+1) t≥______

Answers

are you converting to interval notation or solving for x? 

Answer with Step-by-step explanation:

1. x-7>10

Adding 7 on both sides,we get

x>17

2. 3x ≤ 21

Dividing both sides by 3,we get

x≤7

3. 5a-2<18

Adding 2 on both sides, we get

5a<20

Dividing both sides by 5,we get

a<4

4. 2t + 8 ≥ -4(t+1)

Distributing -4 on right hand side of inequality

2t+8 ≥ -4t-4

2t+4t ≥ -4-8

6t ≥  -12

Dividing both sides by 6, we get

t ≥ -2

Find the distance from the point (4, 1, −1) to the plane x − 2y + 2z + 3 = 0

Answers

I believe the answer is -17????
Distance from point (4,1,-1) to plane x-2y+2z+3 = 0 is 1. The formula for the distance from a point to a plane is d = abs(Ax + By + Cz + D) / sqrt(A^2 + B^2 + C^2) where d = distance (x,y,z) = coordinates of point A,B,C,D = coefficients of equation for the plane For this problem, the values for A,B,C,and D are A=1, B=-2, C=2, and D=3. So substituting the known values into the equation, we get: d = abs(1*x - 2*y + 2*z + 3) / sqrt(1^2 + (-2)^2 + 2^2) d = abs(1*4 - 2*1 + 2*(-1) + 3) / sqrt(1 + 4 + 4) d = abs(4 - 2 - 2 + 3) / sqrt(9) d = abs(3) / 3 d = 1

25/28=375/x. Use equivalent ratios to solve the proportion.

Answers

x=420. You can find this by cross multiplying.

-10+ (-15)=??? Plzzz help me show work plz <3

Answers

The equation is -10+(-15). So you take -15 out of the parentheses and you get -10-15 because if you add a negative number then it's just subtracting. So -10-15 is -25. Because 15 less than -10 is -25.
The answer would be 5 (positive) because a negative and a negative = a positive 

If you have a iPhone you can calculate negatives, fyi 
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