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3 years ago

How do I find the reciprocal of the fractions 2/3 and 8/3

Mathematics

2 answers:

Mice21 [21]3 years ago

5 0

2/3 reciprocal is 3/2, & 8/3 reciprocal is 3/8. The numbers are just filled to find their reciprocal!

dexar [7]3 years ago

5 0

To find the reciprocal you just flip the fraction

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On a cell phone mapping app, 5 cm represents 150 feet. Which equation represents this relationship?

denis-greek [22]

Answer:

y=150x

Step-by-step explanation:

let me know if its wrong

7 0

3 years ago

If a swimmer swims 85.4 yards in 5 minutes, how many meters will he/ she swim in 70 seconds

DaniilM [7]

Distance swam in 5 minutes = 85.4 yards

Since, 1 min = 60 seconds and 1 yard = 0.91 meter

5 minutes = $5 \times 60 = 300$ seconds

85.4 yards = $85.4 \times 0.91 = 77.7$ meters

So, Distance swam in 300 seconds = 77.7 meters

Now, we will use unitary method to determine the distance swam in 70 seconds.

Distance swam in 1 second = $77.7 \div 300$ = 0.26 meter

So, Distance swam in 70 seconds = $70 \times 0.26$

= 18.2 meters

Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.

6 0

3 years ago

Divide line segments

ser-zykov [4K]

tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

$\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill$

$\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}$

6 0

3 years ago

which statement represents eight more than six times a number is five less than three times that number

babymother [125]

Let the number be ‘x’

8-6x = 3x-5

3 0

3 years ago

Amanda says that a human fingernails has a thickness of about 4.2 x 10^-4 meter. Justin says that a human fingernails has a thic

wel

Answer:

See below

Step-by-step explanation:

1. Standard notation

4.2 × 10⁻⁴ m

A negative exponent indicates

A number between 0 and 1.
That the decimal point is shifted that number of places to the left.

4.2 × 10⁻⁴ tells you that the decimal number is 4.2, with the decimal point moved four places to the left.

The number becomes 0.000 42 .

2. Metres to millimetres

$4.2 \times 10^{-4}\text{ m} \times \dfrac{10^{3}\text{ mm}}{\text{1 m}} = 4.2\times 10^{-1}\text{ mm = 0.42 mm}}$

3. Measurements agree?

Yes, because both measurements are the same as 0.42 m.

4. More appropriate measurement

Most measurements should be expressed as a number between 0.1 and 1000, because most people aren’t particularly good at visualizing larger or smaller numbers.

Justin's measurement of 0.42 mm is more appropriate than Amanda's measurement of 4.2 × 10⁻⁴ m.

8 0

3 years ago