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2 years ago

25. John hired a plumber who charges a flat fee of $75 plus $55 per hour. The total charge

Mathematics

1 answer:

mestny [16]2 years ago

3 0

Answer: 55x + 75 = 350; 5 hours

Step-by-step explanation:

What we know:

- A flat fee is $75

- John charges $55 an hour

- The total charge is $350

We need to write an equation to find how many hours John works.

<em>x </em>will represent hours worked.

55x + 75 = 350

We now need to solve for x.

Subtract 75 from both sides.

55x + 75 - 75 = 350 - 75

Simplify.

55x = 275

Divide 55 from both sides.

55x/55 = 275/55

Simplify.

x = 5

John worked 5 hours.

To check our work, we just plug in our x value!

55(5) + 75

275 + 75 = 350

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2 years ago

Read 2 more answers

Please check my answers for me.

agasfer [191]

QUESTION 1

The given equation is

$2.5(10 - x) + 10 = 72 - 1.5(5x + 12)$
Clear the decimal by multiplying through by 10 to get,

$25(10 - x) + 100 = 720 - 15(5x + 12)$

Expand the bracket using the distributive property to get;

$250 - 25x + 100 = 720 - 75x - 180$

Group similar terms to get,

$- 25x + 75x = 720 - 250 - 100 - 180$

$50x = 720 - 530$

$50x = 190$

Divide through by 50 to get,

$x = \frac{190}{50}$

$x = \frac{19}{5}$

QUESTION 2

We want to solve the inequality,

$16x \: > \: 12(2x - 6) - 24$

We expand the bracket using the distributive property to obtain,

$16x \: > \: 24x - 72 - 24$

Group similar terms to get,

$16x - 24x \: > \: - 72 - 24$

Simplify to get,

$- 8x \: > \: - 96$

We divide both sides of the inequality by -8 and reverse the sign to obtain,

$x \: < \: \frac{ - 96}{ - 8}$

$x \: < \: 12$

QUESTION 3

Step 1.

Given:4(-6x – 3)+24x= -72x + 132

Step 2.

Distributive property:
-24x – 12 + 24x = -72x + 132

Step 3.

Combine like terms:
–12 = -72x + 132

Step 4.

Addition property of equality:

-144 = -72x

Step 5.

Division property of equality:

2=x

All the properties stated are correct.

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2 years ago

What is the equation of the line, in point-slope form, that passes through the points (-1, 7) and (-2, 3)? A. y + 7 = -4(x - 1)

Nana76 [90]

In general point-point form, the equation for the line through (a,b) and (c,d) is

$(c-a)(y-b) = (d-b)(x-a)$