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3 years ago

Find 5 rational numbers between 1/3 and 2/7 and arrange in ascending order.

Mathematics

1 answer:

likoan [24]3 years ago

4 0

2/7=0.2857142857

1/3=0.3333

A rational number is that number that can be expressed as a ratio of 2 integers.

The 5 numbers could be:

0.29=29/100

0.3=3/10

0.31=31/100

0.32=32/100=8/25

0.33=33/100

These numbers are not unique.

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there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater

natka813 [3]

Answer:

600 seats

Step-by-step explanation:

We know there is 120 seats on a balcony and that is $\frac{1}{5}$ of the total seats, we want to find the total number of seats so,

120 seats = $\frac{1}{5}$

We know that a whole fraction sums to 1 so for example $\frac{1}{5} +\frac{4}{5} =\frac{5}{5} =1$

120 seats = $\frac{1}{5}$

Multiply both sides to make it a whole fraction

600 seats = $\frac{5}{5} =1$

So if there is 120 seats and that number is only $\frac{1}{5}$ of the total number of seats then the total number of seats is 600

3 0

3 years ago

Read 2 more answers

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Judy attended all of the sessions thi

lbvjy [14]

The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.

We are to determine the total number of minutes Judy worked out for the week.

The gym holds three 45-minute workout sessions and two 30-minute sessions each week

So,

We can write,

The total number of minutes the gym holds workout sessions is

3 × 45 + 2 × 30

= 135 + 60

= 195 minutes

Also, from the information,

Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.

The total number of minutes Judy didn't attend is

= 3 × 10 + 2 × 5

= 30 + 10

= 40 minutes

Then,

The total number of minutes Judy worked out for the week was,

= 195 minutes - 40 minutes

= 155 minutes

Therefore,

The total number of minutes Judy worked out for the week was 155 minutes.

To learn more about visit Calculating time :

brainly.com/question/28523225

#SPJ1

5 0

1 year ago

What is the slope intercept from for 16x+9y=40

Doss [256]

Answer:

$y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form for 16x+9y=40

Step-by-step explanation:

Here, the given equation is 16 x + 9 y = 40

Now, the slope intercept form of an equation is y = mx + c,

here m = slope of the equation, b = y - intercept

So, now 16x + 9y = 40 on simplification gives

9y = 40 - 16x

or $y = \frac{40 - 16x}{9} = \frac{40}{9} - \frac{16x}{9}$

or, $y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form of the given equation.

Here, m = (-16/9) and y- intercept = 40/9

7 0

3 years ago

Given that a = 10,

tankabanditka [31]

Since $a = 10$ and $b = 2x + 5$ , we have

$ab=10(2x+5)=20x+50$

So, the equation becomes

$ab = 6x^2 +11x-10 \iff 20x+50= 6x^2 +11x-10 \iff 6x^2-9x-60=0$

The solutions to this equation are 4 and -5/2, so I'm afraid there's a typo in your question.

3 0

3 years ago

the vertex of this parabola is (2,-1). When the x-value is 5 the y-value is 0.what is the coefficient of the squared expression

weeeeeb [17]

1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1

Hope could help :)

8 0

3 years ago