All categories

2 years ago

Julian has partially filled the prism below with 16 unit cubes.

Mathematics

1 answer:

Gre4nikov [31]2 years ago

3 0

He needs 20 more unit cubes to completely fill the prism

<h3>How to determine the number of unit cubes?</h3>

The dimension of the prism is given as;

4 by 3 by 3

The volume is calculated as:

Volume = 4 * 3 * 3

Volume = 36

He has already filled 16 units.

So, the units remaining is

Remaining = 36 - 16

Evaluate

Remaining = 20

Hence, he needs 20 more unit cubes to completely fill the prism

You might be interested in

The domain of 2x+3 is {2,3,5,7,11}. What is the range of f?

Alex_Xolod [135]

The range is {7, 9, 13, 17, 25}

7 0

4 years ago

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost

zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots and 3 pounds of potatoes will cost her

$ $(2\times x + 3\times y)$

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ $(4\times x + 4\times y)$

According to the question,

$(2\times x + 3\times y) = 8$ -----(1)

$(4\times x + 4\times y) = 13$ -----(2)

multiplying (1) by 2 we get,

$(4\times x + 6\times y) = 16$ -----(3)

Deducting (2) from (3) we get,

$2\times y = 3$

⇒ $y = \frac{3}{2} = 1.5$ ------------------(4)

Putting value of y in (1) we get,

$(2\times x = 8 - 3\times 1.5) = 3.5$

⇒ $x =\frac{3.5}{2} = 1.75$ ------------(5)

8 0

4 years ago

Mathematics can uh solve this please

guajiro [1.7K]

Answer:

$a^3 + 1 = 0$

Step-by-step explanation:

We start with the equation:

$a + \frac{1}{a} = 1$

We want to find the value of:

$a^3 + 1 =$

We can start with our previous equation and multiply both sides by a:

$(a + \frac{1}{a})*a = 1*a\\a^2 + 1 = a$

Now we can rewrite our initial expression as:

$a = 1 - \frac{1}{a}$

Replacing that in the right side, we get:

$a^2 + 1 = a = 1 - \frac{1}{a}$

Now again, let's multiply both sides by a

$a*(a^2 + 1) = a*(1 - \frac{1}{a} )\\a^3 + a = a - a/a\\a^3 + a = a - 1\\a^3 = -1\\a^3 + 1 = 0$

So we can conclude that:

$a^3 + 1 = 0$

3 0

3 years ago

Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: ho

irga5000 [103]

Answer: Sorry, I do not understand the question with all the text bunched up.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help with A and B, any other ones you don't have to do (you can if you'd like to help me out XD)

fiasKO [112]

Answer:

Step-by-step explanation:

B) S = {1,2,3,4,5,6}

n(S) = 6

B = factors of 2 when rolling a single die = {1 , 2}

n(B) = 2

P(B} = $\frac{2}{6}=\frac{1}{3}$

A) n(S) = 50

A = Picking numbers with 3 in tens place = {30, 31,32,33,34,35,36,37,38,39}

n(A) = 10

P(A) = $\frac{10}{50}=\frac{1}{5}$

3 0

3 years ago