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3 years ago

Show all your work!Thank you!

Mathematics

1 answer:

mote1985 [20]3 years ago

6 0

First we should change these mixed numbers into improper fractions:

$12 \frac{4}{9}= \frac{112}{9}$

$1 \frac{7}{9}= \frac{16}{9}$

We can find the number of crates used by dividing the total amount of electrical supplies by the amount that each crate can hold:

$\frac{112}{9}$ / $\frac{16}{9}=\frac{112}{9}$ * $\frac{9}{16} = \frac{1,008}{144}=7$

So now we know that Otto used 7 crates.

You might be interested in

Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.)

mote1985 [20]

For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

<h3>Integers divisible by 3</h3>

The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.

<h3>Proof for the divisibility</h3>

111 = 1 + 1 + 1 = 3 (the sum is multiple of 3 = 3 x 1) (111/3 = 37)

222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2) (222/3 = 74)

213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2) (213/3 = 71)

27 = 2 + 7 = 9 (the sum is multiple of 3 = 3 x 3) (27/3 = 9)

Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.

Learn more about divisibility here: brainly.com/question/9462805

#SPJ1

5 0

2 years ago

PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li

Sonja [21]

Answer:

$x=10$

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

In this problem

$(8x+50)\°=130\°$ -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

$8x=130-50$

$8x=80$

Divide by 8 both sides

$x=80/8$

$x=10$

7 0

3 years ago

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious

max2010maxim [7]

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

$n=\dfrac{g^{0.5}}{2\pi r^{0.5}}$ ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

$n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}$

Hence, the rotational speed is 0.38 rotation per second.

8 0

3 years ago

The vertical segment joining A (1,5) and B (1,1) has been graphed on the number plane. Find the length of the segment.

Alecsey [184]

Answer:

4 units

Step-by-step explanation:

because the points have the same x-coordinate, we just need to subtract the y-coordinates to find the distance.

5 - 1 = 4

therefore, the length of the segment is 4 units.

hope this helps! <3

7 0

2 years ago

Malaya creates a password as follows: letter, number, letter, special character, number Assuming that there are 12 special chara

Tems11 [23]

Hey there!

I'm not too sure about this question, but I'm gonna guess 12 or 15

I hope this helps out a little bit!

Always remember, you are a Work Of Art!
- Nicole <3 :)

4 0

3 years ago