Eight less than the product of a number and three (algebraic expression)

[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]

Answer:

5226.33 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

y=-5/3x+10

-5/3

(0,10)

Step-by-step explanation:

5x+3y=30

-5x. -5x

3y=-5x+30

÷3. ÷3

y=-5/3x+10

the number by the x is the slope and the constant

is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

Answer:

The first choice

Step-by-step explanation:

h=-3

hope it helps

[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]

Option d. 3

Step-by-step explanation:

please send your teacher some nice greetings from me, as this problem description is very incomplete.

we have to guess and assume a few things.

I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).

and we are only looking at a single work day. and not a week or a year.

so,

x = Taylor(t)

y = Thomas(t)

remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.

and the range is the interval or set of valid values for the output variable (x and y).

so, the domain for Taylor is the interval of valid work time

[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.

Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)

[0, 8×6] or [0, 480/10] = [0, 48].

the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.

Thomas's range is then (2 per hour or 1 every 30 minutes)

[0, 10×2] or [0, 600/30] = [0, 20]

please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.

Domain defines the input interval and range defines the output interval.

Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.

Domain defines the input interval and range defines the output interval corresponding to the domain interval.

In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours

in 1/6 hours Taylor makes 1 hat

so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats

so in 8 hours Taylor will make (8 x 6) = 48 hats

Range of taylor = (0,48).                             .(as in 0 hour he will make 0                                                                                                                                                                                                                                        

                                                                            hats )                                          

Domain of Thomas is 10 hours = (0,10)

Every pair of mittens take 30 minutes or 1/2 hour

so , In 1/2 hour Thomas makes 1 pair of mittens

      In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.

      In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.

The range of Thomas is (0,20).                 .(as in 0 hour he can make no                                                                                                                                                                                

                                                                                        pair of mittens)  

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Answer:

Exact: 55.899

Estimate: 56

Step-by-step explanation:

8.176 + 5.802 + 41.921 = 55.899

8.176 ~ 8

5.802 ~ 6

41.921 ~ 42

8 + 6 + 42 = 56

Answer:

$136

Step-by-step explanation:

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

Answer:

Josh started out with 37 boxes.

Step-by-step explanation:

Step-by-step explanation:

345cm²=34500mm²

:;

cm in mm(*10)

cm² in mm²(*100)

cm³ in mm²(*1000)

I'd appreciate the brainliest

Answer:

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

------------------------

check

23 + 18 = 44

the answer is good

Answer:

the answer is y=−3/7x+5

Step-by-step explanation:

sorry if I did it wrong

Answer:

Step-by-step explanation:

F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

From the question,

We have that,

Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let a represent the acceleration and F represent the force exerted

Them we can write that

F ∝ a

Introducing a constant, m, which is the mass of the object

Then, we get

F = ma

From the question,

If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N

We will the determine the mass, m, of the object using the above formula

F = ma

We have that

a = 3 m/s²

F = 15 N

Using

F = ma

Then,

15 = m × 3

m = 15÷3

∴ m = 5kg

Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²

Using the same formula

F = ma

a = 7 m/s²

m = 5 kg

∴ F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

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Answer:4

Step-by-step explanation:

Answer:

55mph

Step-by-step explanation:

average speed=330/6=55mph

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

The common factor of 10, 25 and 30 is 5

this means that each bracelet will have 2 purple, 5 yellow and 6 red.

Answer:

5 Bracelets

Step-by-step explanation:

the common factor of the numbers 10 25 and 30 is 5

5×2= 10

5× 5 = 25

5x6= 30

these numbers are also multiples of 5.

Answer:

x = 36; y = 42

Step-by-step explanation:

x+6 = y

7x = 6y

7x = 6(x+6)

7x = 6x+36

-6x  -6x

x = 36

_________

y = 36+6

y = 42

_________

Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

Answer:

x=96 and y=192

Step-by-step explanation:

x+y=288 and 2x=y

plug y in and solve for x

x+2x=288

3x=288

x=96

plug x back in and solve for y

2(96)=y

y=192

Answer:

is this a question or not?

Step-by-step explanation:

Answer:

[tex] - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} m + \frac{9}{10} - 2m - \frac{3}{5} \\ \frac{7}{8} m - 2m + \frac{9}{10} - \frac{3}{5} \\ \frac{7}{8} m - \frac{2m \times 8}{1 \times 8} + \frac{9}{10} - \frac{3 \times 2}{5 \times 2} \\ \frac{7m - 16m}{8} + \frac{9 - 6}{10} \\ - \frac{9}{8} m + \frac{3}{10} \\ - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]