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3 years ago

Dan's Dog-Walking Business

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer: DO I LOOK GOOD?

Step-by-step explanation:

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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

5 0

3 years ago

A 12inch diameter pizza has 22 calories per square inch. About how many calories are in the entire pizza? Use 3.14 for pi. Selec

wlad13 [49]

Step-by-step explanation:

Diameter of pizza = 12 inch

Therefore, radius r = 6 inch

$Area \: of \: entire \: pizza \\ = \pi {r}^{2} \\ = 3.14 \times {6}^{2} \\ = 3.14 \times 36 \\ = 113.04 \: {inch}^{2} \\ \\ amount \: of \: calories \: in \: entire \: pizza \\ = area \: of \: pizza \\ \times calories \: per \: square \: inch \\ = 113.04 \times 22 \\ = 2,486.88 \\$