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3 years ago

Twenty five is the quotient of a number y and 3.5

Mathematics

1 answer:

Vilka [71]3 years ago

8 0

Y/3.5= 25

(Hoped this help^)

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4/10x - 2x + 8/5 = 4/5

mamaluj [8]

$\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4}{10}\times x\right)-(2 \times x)+\frac{8}{5}=\frac{4}{5} \end{gathered}$}$

Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.

$\large\displaystyle\text{$\begin{gathered}\sf \frac{2}{5}x-2x+\frac{8}{5}=\frac{4}{5} \end{gathered}$}$

Combine $\bf{\frac{2}{5}x }$ and -2x to get $\bf{-\frac{8}{5}x}$ .

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x+\frac{8}{5}=\frac{4}{5} \ \end{gathered}$}$

Subtract 8/5 from both sides.

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4}{5}-\frac{8}{5} \ \ \end{gathered}$}$

Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4-8}{5} \end{gathered}$}$

Subtract 8 from 4 to get -4.

$\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=-\frac{4}{5} \end{gathered}$}$

Multiply both sides by $\bf{-\frac{5}{8}}$ , the reciprocal of $\bf{-\frac{5}{8}}$ .

$\large\displaystyle\text{$\begin{gathered}\sf x=-\frac{4}{5}\left(-\frac{5}{8}\right) \end{gathered}$}$

Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-4(-5)}{5\times8} \ \to \ \ Multiply \end{gathered}$}$
$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{40} \end{gathered}$}$

Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x=\frac{1}{2} \end{gathered}$}}$

<u>Good luck in your studies</u>

3 0

2 years ago

Which situation is best represented by the following equation?

levacccp [35]

Answer:

Step-by-step explanation:

hope it helps

6 0

4 years ago

Read 2 more answers

There are 108 flowers. 1/9 of them bloomed. How many did not bloom? How many did?

levacccp [35]

Answer:

96 flowers did not bloom and 12 did.

Explanation:

Total flower = 108

Number of flower that bloomed

= ⅑ of the total flowers

= ⅑ of 108

= ⅑ × 108

= 108/9

= 12

So, number of flowers that did not bloom

= Total flowers - Number of flowers that bloomed

= 108 - 12

= 96

So, 96 flowers did not bloom and 12 flowers did.

4 0

3 years ago

Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

3 0

3 years ago

Round 56,291.8 to the nearest thousand.

NeTakaya

Answer:

56,000.0

Step-by-step explanation:

The number 6 is in the nearest thousand. To round, you look at the number in front of the number you are trying to round and decide if that number is higher or lower than five. If the number is higher than 5, round up to the next highest number. If the number is lower than 5, the number stays the same.

5 0

3 years ago

Read 2 more answers