a business has recently made some upgrades to their shop that cost them $1,200. Normally, this business has a running cost of $50 per hour, and they have an income of $80 per hour. How many hours will it take for this business to recover the costs from the upgrades, and how much income will they have brought in by then

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]

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

55mph

Step-by-step explanation:

average speed=330/6=55mph

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

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

Learn more here: https://brainly.com/question/20357188

Answer: (a.) -19  (b.) 78

Step-by-step explanation:

(a.) -33+14= -19       (b.) 75 - x = 78

(b.) 75 to zero = 75     Zero to -3

is 3 points behind zero, this make more distance from 75 so…

(b.) 75+3 = 78

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

Learn more here: https://brainly.com/question/13989292

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

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:

$136

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

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

[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:

Josh started out with 37 boxes.

Step-by-step explanation:

Answer:

the answer is y=−3/7x+5

Step-by-step explanation:

sorry if I did it wrong

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:

is this a question or not?

Step-by-step explanation:

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:

-7

Step-by-step explanation:

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:

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:4

Step-by-step explanation: