1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
koban [17]
2 years ago
11

A rectangular prism measures 225 inches by 315 inches by 2 inches. How many cubes with edge length 15 inch fit in the prism? Sho

w all work
Mathematics
1 answer:
Mandarinka [93]2 years ago
6 0

Answer:

34 Cubes

Step-by-step explanation:

<u>Step 1: </u>Find the Volume of the Rectangular Prism

The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.

Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches

<u>Step 2:</u> Find the Volume of the Cube

Edge length of the cube, s=15 Inch

Volume of a Cube =s^3

Volume=15^3=3375 Cubic Inches

<u>Step 3: </u>Determine how many cubes fit in the prism

To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.

Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube

=141750 ÷ 3375

=34

34 Cubes will fit in the rectangular prism.

You might be interested in
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?
nalin [4]

Answer:

b

Found the answer, its B. 3/2!

6 0
3 years ago
PLS ANSWER PLS PLS PLS
s2008m [1.1K]
The correct answer is 120 degrees.

With the bigger triangle you can add all of the angles to get 60 degrees. (35+25)

This leaves you with a 120 degrees angle in the unmarked corner of the triangle. Any horizontal line and any triangle is 180 in total.

So with a 120 degree angle in the corner this leaves us with a 60 angle in the smaller triangle. ( The smaller triangle equals 60 degrees in all corners, it is equalateral ).

X is on a horizontal line and we now know that the one side of the line equals 60 degrees and any horizontal line equals 180 in total, this means that the measure of X is 120, (60+120)

X is 120 :)

7 0
2 years ago
How do you simplify 2/3 divided by 1/3
suter [353]

Answer:

2

Step-by-step explanation:

Solve. To do so, change the division sign into a multiplication sign, and flip the second fraction:

(2/3)/(1/3) = (2/3) x (3/1)

Multiply across:

(2 * 3)/(3 * 1) = (6)/(3)

Simplify:

6/3 = 2

2 is your answer.

~

8 0
3 years ago
The ordered pairs (−4,−3)
lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

  • First part; The rule that represent the function is; <u>y = 0.5·x - 1</u>
  • Second part; the correct option is the inequality; <u>2·n - 6 ≥ 35</u>
  • Third part; \displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}
  • Fourth part; <u>Table 4</u>
  • Fifth part; \displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}
  • Sixth part; <u>75·w + 55 ≤ 400</u>

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, <em>m</em>, is therefore;

\displaystyle m = \frac{2 - 1}{6 - 4}  = \frac{1}{2} = 0.5

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; <u>y = 0.5·x - 1</u>

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; <u>2·n - 6 ≥ 35</u>

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}

Fourth part;

The best correct option is table 4, given that the table is as follows;

\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

\displaystyle  \underline{y < -\frac{1}{2} \cdot x - 4}

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let <em>w</em> represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

<u>75·w + 55 ≤ 400</u>

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0
2 years ago
Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10
PilotLPTM [1.2K]
Solving   <span>8x-5y=10   for y helps us to identify the y-intercept:

-5y = -8x + 10.  Dividing both sides by -5, we get (8/5)x -2.  Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6   can be solved for its slope in the same manner.
7y = -6x + 6;  then y = (-6/7)x + 6/7.  Its slope is -7/6.  A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
4 0
3 years ago
Other questions:
  • You are helping a coworker with a presentation and he has asked you to print out memos for him on a variety of colored paper. 60
    15·2 answers
  • The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?
    6·2 answers
  • Which of the following employees has the largest gross pay?
    5·2 answers
  • Daniel has 1 blue pencil and 5 yellow pencils in his backpack. He also has 2 pink erasers, 4 tan erasers, and 3 gray erasers in
    5·1 answer
  • Calisickleroye9vh also answer this is last one thx
    9·1 answer
  • Find the volume of a cylinder with base diameter 140cm and height 10cm​
    15·2 answers
  • What is the slope of the line on the graph?<br>​
    12·1 answer
  • What is the equation of the line that passes through the points (-6,-7) and has a slope.of o?​
    15·1 answer
  • HELP PLZ IM IN A HURRY
    14·2 answers
  • PLEASE HELP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!