Sovle, Simplify<br><br> 1 1/2 divided by 2/3

Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 3

AlexFokin [52]

Answer: A = 396 tons

B = 70 tons

Step-by-step explanation:

From the question,

Weight of A + Weight of B = 466

Weight of A - Weight of B = 326

A + B = 466 ......... i

A - B = 326 ..........ii

Subtract equation ii from I

2B = 140

B = 140/2

B = 70 tons

A = 466 - 70

A = 396 tons

5 0

3 years ago

Which equations does the number 7 make true? Select all that apply.

Hunter-Best [27]

Answer:

$\frac{3}{35}$

$\frac{5}{7}$

Step-by-step explanation:

$\frac{3}{35} (7)=\frac{(3)(7)}{35} =\frac{21}{35} =\frac{3}{5}$

$\frac{5}{7} (7)=\frac{(5)(7)}{7} =\frac{35}{7} =5$

Hope this helps

4 0

2 years ago

Three million and nine thounsandths

nika2105 [10]

One million = 1,000,000

So Three million is 3,000,000

One thousandths is 0.001

So nine thousandths is 0.009

So three million and nine thousandths is 3,000,000.009

5 0

3 years ago

Read 2 more answers

Identify the value of C for completing the square

I am Lyosha [343]

Answer: 64

Step-by-step explanation:

6 0

2 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

Sovle, Simplify 1 1/2 divided by 2/3