Multiply the following numbers and write the answer in scientific notation: (3.45 × 107) × (6.25 × 105).

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

The club buys shirts in bulk for 8 each. they mark up the shirts 75% to sell in the school store. At the end of the year, At the

Nitella [24]

The amount of profit the spirit club make on each shirt sold at the end of the year is = $2

<h3>Calculation of profit</h3>

The quantity of shirt bought by the club = $8 per shirt

At the end of the year they sold the shirts at discount of %25 each.

That is 25/100 × 8

= 200/100

= $2

Therefore, they made profit of $2 for each shirt they sold at the end of the year.

Learn more about profit here:

brainly.com/question/19104371

#SPJ1

4 0

2 years ago

The length of the garden is 11 yards.The width of the garden is 8 yards. Select all of the expressions that chole could use to f

Sati [7]

Answer:

The length of the fence is 38 yards

These are the expressions

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, a rectangle.

The length of the fence is the perimeter of the garden which is the expression that Chole could use

1. Perimeter = 2l+ 2w

2. Perimeter = 2(l+w)

Given data

Length = 11 yards

Width = 8 yards

Perimeter = 2(11)+ 2(8)

Perimeter = 22+16

Perimeter = 38 yards

3 0

3 years ago

Algebra 2! Please help!

slega [8]

B is the answer

As x → ∞, f(x) → - ∞

As x → - ∞, f(x) → - ∞

6 0

3 years ago

Read 2 more answers

BRAINLIEST ASAP! PLEASE HELP ME. :)

yuradex [85]

<h3>Answer: Perpendicular</h3>

=========================================================

Work Shown:

Solve the first equation for y

3x+7y = 15

7y = -3x+15

y = (-3x+15)/7

y = (-3/7)x + 15/7

The slope here is -3/7

-------

Solve the second equation for y

7x-3y = 6

-3y = -7x+6

y = (-7x+6)/(-3)

y = (7/3)x - 2

The slope here is 7/3

-------

The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.

The lines however are perpendicular because the slopes multiply to -1

(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1

6 0

3 years ago