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malfutka [58]
3 years ago
5

Simplify. 3/5+(−1/4)over 7/10 Enter your answer, in simplest form.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

1. 3/5+(-1/4) over 7/10

2. Apply fraction rule. 10(3/5-1/4) over 7

3 10*7/10 over 7

4. 7/2 over 7

5. 7/2*7

6. 7/14

7.1/2

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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

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Find the 38th term of a sequence where the 24th term is −3 and the common difference is 12.
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Answer:

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Step-by-step explanation:

10,9.75,9.5,9.25,

the rest of the sequence would look like

8, 7.75, 7.5, 7.25, 7, 6.75, 6.5, 6.25, 6 etc.

(the pattern is - .25 from the previous number.

so the 8th number in this sequence is 7.25

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