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3 years ago

A color printer prints 32 pages in 11 minutes how many does it take per page

1 answer:

4 0

$\bf \begin{array}{ccll}
pages&minutes\\
\cline{1-2}
32&11\\
1&m
\end{array}\implies \cfrac{32}{1}=\cfrac{11}{m}\implies m=\cfrac{1\cdot 11}{32}\implies m=\stackrel{\textit{about }20\frac{1}{2}\textit{ seconds}}{0.34375}$

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Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo

kolezko [41]

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25

==> x + 0.75 - 6x = 0.25

==> 5x = 0.5

==> x = 0.1

==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0

3 years ago

Simplify y-2/3/y+1/5

liberstina [14]

Answer:

$\frac{15y-10}{15y-3}$

Step-by-step explanation:

First at all, we need to use $a=\frac{a}{1}$ to convert this expression into a fraction, like:

$y-\frac{2}{3}$ to convert into $\frac{y}{1} -\frac{2}{3}$ .

Expand the fraction to get the least common denominator, like

$\frac{3y}{3*1}-\frac{2}{3}$

Write all numerators above the common denominator, like this:

$\frac{3y-2}{3}$

The bottom one used the same way to became simplest form, like this:

$y+\frac{1}{5}$

$\frac{y}{1} +\frac{1}{5}$

$\frac{5y}{5*1}+\frac{1}{5}$

$\frac{5y+1}{5}$

And it became like this:

$\frac{3y-2}{3}/\frac{5y+1}{5}$

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

$\frac{3y-2}{3}*\frac{5y+1}{5}$

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

$\frac{3y-2(5)}{5y+1(3)}$

Then, we should distribute 5 through the parenthesis

$\frac{15y-10}{5y+1(3)}$

$\frac{15y-10}{15y+3}$

And.... Here we go. That is the answer.

7 0

3 years ago

What are the LCM of 5 and 7

victus00 [196]

7 ×5 = 35 and 5 × 7 = 35
ans is 35

6 0

3 years ago

Multiply the polynomials. (4x- + 4x + 6)(7x + 5)

SashulF [63]

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$(4 {x}^{2} + 4x + 6)(7x + 5)$

$= \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)$

$= \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30$

Combining like terms, we have

$= \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30$

$= \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

3 0

3 years ago

does anyone have Skype or Outlook and do you want to join a Skype if you have Skype if you have Outlook email me

MaRussiya [10]

Answer:

not today

Step-by-step explanation:

sorry

3 0

3 years ago

Read 2 more answers