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timofeeve [1]
3 years ago
7

How many fractions are equivalent to 4/5

Mathematics
2 answers:
Sidana [21]3 years ago
6 0

There are an infinite number of them.

-- Think of any number.

-- Multiply  4  by your number.  Write it on top.

-- Multiply  5  by your number.  Write it on the bottom.

-- You have a new fraction that's equivalent to  4/5 .

How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to  4/5 .

denis23 [38]3 years ago
3 0
There is an infinite amount of numbers equivalent to 4/5 such as:
8/10,12/15.16/20,20/25
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"write an equation of the perpendicular bisector or the segment with endpoints Q(-2,0) and R(6,12). what does y equal? ​
anygoal [31]

Answer:

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32

The bisector will pass through the mid-point of QR

\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)

Slope-intercept form of equation is:

y = m_2x+by=m2x+b

Putting the value of slope

y = -\frac{2}{3}x+by=−32x+b

Putting (2,6) in the equation

\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322

So,

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

4 0
3 years ago
A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi
muminat

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket   = $40.75

Number of ticket purchased  = 5

Processing fee per ticket  = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

      Processing fee = number ticket x processing fee per ticket

      Processing fee  = 5 x 0.9  = $4.5

Now, the real cost a ticket = $40.75  - $4.5  = $36.25

So, cost per ticket is;

        Cost  = \frac{36.25}{5}   = $7.25

7 0
3 years ago
How to solve 1 2/3j=15
ivann1987 [24]

Answer:

j = 9

Step-by-step explanation:

The answer to the question above is solved below.

1 \frac{2}{3}j = 15

Convert the mixed numbers to improper fraction following the step: 1×3 = 3 +2 =5 / 3j = 5/3j

\frac{5}{3}j  = 15

Eliminate the fraction of the equation left hand side by multiplying both sides by 3

3 \times  \frac{5}{3}j = 3 \times 15

5j = 45

Divide both sides by 5

\frac{5j}{5}  =  \frac{45}{5}

j = 9

thus \: if \: 1  \frac{2}{3}j = 15. \: j = 9

7 0
4 years ago
K = 5 m = 3 (d) Work out the value of 2k + 4m​
anygoal [31]

Answer:

2k = 10m+4m=3

2k =14m=8.4

4 0
3 years ago
The perimeter of a rectangular
cupoosta [38]

Answer:

5 ft

Step-by-step explanation:

Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:

P = 2W + 2H

Let's sub in the given values, P and W:

18 = 2(4) + 2H

Now, let's solve for the height, H:

18 = 8 + 2H

10 = 2H

10/2 = H

<u>5 = H</u>

I hope this helps!

7 0
3 years ago
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