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
Elza [17]
3 years ago
12

A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as

a mixed number in its simplest form.
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

The volume of the cube is;

8\dfrac{3}{4} \ cube \, units

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = 8\dfrac{3}{4} \ cube \, units = 8.75 cube unit

You might be interested in
Find the values of x and y.
vova2212 [387]

Look at the picture.

We have the equation (1) 12x + 4y = 40.

We know, the sum of the acute angles in a right triangle is 90°.

Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90

Substitute (1) to (2):

40 + 17x - y = 90        <em>subtract 40 from both sides</em>

17x - y = 50   (3)

We have the system of equations:

\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3

Substitute the value of x to (3)

17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1

Answer: x = 3 and y = 1.

4 0
2 years ago
To solve m/-2+11=14 what steps would you use
Butoxors [25]
M÷-2+11=4
m÷9=4
m=4*9
m=36
5 0
2 years ago
Please help this is due today! geometry
sdas [7]
Please mark brainliest

Answer is 4 units

Explanation:

See the image as mathematical signs can’t be written here

7 0
3 years ago
Which of the following is the inverse of y = 3 Superscript x?
Alina [70]

Answer:

- f−1=log3x. Explanation: y=3x ⇒log3y=log3(3x) (logarithms of both side are equal) ⇒x=log3y ⇒f−1=log3x.Step-by-step explanation:

4 0
3 years ago
The expression (x-9)(2x^2-6x+3) can be rewritten as which of the following?
Mazyrski [523]

Answer:

A

Step-by-step explanation:

An equivalent expression is an expression which is equal to (x-9)(2x^2-6x+3). You can expand or simplify an expression to make an equivalent expression. Apply the distributive property to form a new equivalent expression by multiplying (x-9) separately into the factor in parenthesis.

(x-9)(2x^2-6x+3)  = x(2x^2-6x+3) - 9(2x^2-6x+3)

3 0
3 years ago
Other questions:
  • The equation a = 1/2(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and the base lengths, b1 and
    6·1 answer
  • A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 m/sec, while the cat can run at
    13·2 answers
  • Simplify: 5x - 6y + 4x<br><br> x - 6y<br> 3xy<br> 9x - 6y
    12·2 answers
  • Evan buys some oranges. He gives 1,2 or 3 oranges to April. He has5 oranges left . Draw pictures and write a number sentence to
    10·1 answer
  • 6.43 ×10^5 in standard notation
    5·2 answers
  • Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.
    8·1 answer
  • At a local high school, 40% of the students drink soda regularly, 30% of the students drink coffee regularly, and 10% of the stu
    13·2 answers
  • Greater than (-3) but less than or equal to 3
    14·2 answers
  • A. 0.75s+0.4t=980<br><br> B. 0.75s-0.4t=980<br><br> C. 0.75s+0.04t=980<br><br> D. 0.75s-0.04t=980
    6·1 answer
  • Plz help i beg i will give 20 points and give brainlist
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!