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3 years ago

Find a rational number that is between 7.7 and 7.9. Explain why it is rational

Mathematics

2 answers:

Gnoma [55]3 years ago

5 0

Answer:

7.8

Step-by-step explanation:

One rational number can be 7.8

It is rational because it has terminating decimal expansion

Sophie [7]3 years ago

3 0

There are a lot of rational number between 7.7 and 7.9, but the problem asked to find only one ratio number, so I will choose one which is 7.8. 7.8 is a rational number because ration number means that it can change into a fraction or improper fraction.
Now, let's change 7.8 into the fraction
First of all, change this into mixed number:
7.8
=7 8/10
=7 4/5
Then, change this into improper fraction.
Step 1:
Numerators:
7×5+4=39
Step 2:
Denominator
5, so your final answer will be 39/5. Hope it help!

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z 5 − z+2 2z+4 =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z

yan [13]

Answer:

The sum of all the possible values for z that satisfy the above equation is -5.

Step-by-step explanation:

The given equation is

$\frac{5}{z}-\frac{2z+4}{z+2}=-3$

We need to find the sum of all the possible values for z that satisfy the above equation.

The given equation can be rewritten as

$\frac{5}{z}-\frac{2(z+2)}{z+2}=-3$

Cancel out common factors.

$\frac{5}{z}-2=-3$

Add 2 on both sides.

$\frac{5}{z}-2+2=-3+2$

$\frac{5}{z}=-1$

$5=-z$

Multiply both sides by -1.

$-5=z$

Only z=-5 satisfy the given equation.

Therefore the sum of all the possible values for z that satisfy the above equation is -5.

8 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

3 years ago

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WARRIOR [948]

Answer:

(x + 6)(x - 3)

Step-by-step explanation:

6 0

2 years ago

Which expressions are equivalent to the one below? Check all that apply.log(10^7)

maksim [4K]

The value of expression is 7.

<h3>What is expression?</h3>

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

$log 10^{7}$

Now, using property of log

$log b^{a} =$ a log b

So,

$log 10^{7}$ = 7 log 10

As log 10 = 1

$log 10^{7}$ = 7 (1)

$log 10^{7}$ = 7

Learn more expression here:

brainly.com/question/14083225

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8 0

2 years ago

Help me please again lol :> here's a picture

Delvig [45]

Answer:

It's Same perimeter only

Step-by-step explanation:

It can't be the other two because they don't share the same area

4 0

2 years ago

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