A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

Answer:

4

Step-by-step explanation:

Answer:

Yup it’s 4

Step-by-step explanation:

Answer: I feel like it's the last one

Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

The square root of 48841 is 221.

Step-by-step explanation:

If you multiply 221 by 221, then you get 48841. So the square root is 48841. Hope this helped! :D

Answer:

x = 16 and y = 116

Step-by-step explanation

For the trapezoid, the sum of the adjacent side is 180. Hence;

6x+20 + 4x = 180

10x + 20 = 180

10x = 180-20

10x = 160

x = 160/10

x = 16

Also, the sum of opposite side is 180, hence;

4(16)+ y = 180

64 + y = 180

y = 180 - 64

y = 116 degrees

hence x = 16 and y = 116

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

https://brainly.com/question/1109099

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Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Answer:

25

Step-by-step explanation:

15/6*10 = 25

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

Answer:

Bond Price​= 1,182.96

Step-by-step explanation:

Giving the following information:

Par value= 1,000

Cuopon= 1,000*0.045= 45

YTM= 3.2%

Number of years (n)= 10

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 45*{[1 - (1.032^-19)] / 0.032} + [1,000 / (1.032^19)]

Bond Price​= 633.31 + 549.65

Bond Price​= 1,182.96

Answer:

The answer is 50 miles per hours.

Answer: C

Step-by-step explanation:

13-3=10

Answer:

$25.20

Step-by-step explanation:

All you have to do is 21x1.20 and you get 25.2. Brainliest would be very helpful and appreciated.

Answer:

$25.20

Step-by-step explanation:

You do 21 times the decimal form of the fraction 120.

The way you make it decimal form is by moving the decimal places two spaces to the left.

So 1.20

So 21 • 1.20

25.20

So 25.20 is 120% of it

Answer:

32 glasses

Step-by-step explanation:

To solve this we will first find out how many glasses one bottle of grape juice can fill.

Equation:

8/2 = 4

This means one bottle of grape juice can fill four glasses. Now all we have to do is multiply 4 glasses of grape juice by the number of bottles.

Equation:

8 * 4 = 32

32 glasses

Answer:

Each dot specifies a day.... there are 19 dots on the dot plot, therefore, 19 days.

Then the maximum distance that Zac ran on any one day is 4 miles.

Step-by-step explanation:

Answer:

first blank is 19, the second blank is 4

Step-by-step explanation:

I got this correct on Mubarak test

Answer:

There are 15 calories in one serving.

Step-by-step explanation:

To find out how many calories are in one serving, you simply have to divide the number of calories by the number of servings.

75 / 5 = 15

Answer:

1212

Step-by-step explanation:

Answer:

Suppose we have an equation like:

[tex]\frac{A}{C} = \frac{B}{D}[/tex]

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]

[tex]A = \frac{B}{D}*C[/tex]

Now let's multiply both sides by D.

[tex]A*D = \frac{B}{D}*C*D[/tex]

[tex]A*D = B*C[/tex]

So now we removed the denominators.

Now let's do this to our expression.

[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]

First, let's multiply both sides by 10

[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]

[tex]20 + \frac{30}{4*x} = 9[/tex]

Now let's multiply both sides by 4*x

[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]

[tex]20*4*x - 30 = 9*4*x[/tex]

[tex]80*x - 30 = 36*x[/tex]

Now we can solve this for x:

[tex]80*x - 36*x = 30[/tex]

[tex]44*x = 30[/tex]

[tex]x = \frac{30}{44} = 0.68[/tex]

X= 54

hope it helps

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%

Answer:

a) 33

Step-by-step explanation:

triangle inequality theorem

- the sum of any two sides of a triangle must be greater than the third

1 out of 10 can be written as a fraction/ 1/10

Multiply total students by the fraction:

360 x 1/10 = 360/10 = 36

There are 36 left handed students.

Answer:

2 * (Area/pi)^(1/2) = diameter

Step-by-step explanation:

The equation for the area of a circle is A = pi * r^2

We can divide both sides by pi to get:

A/pi = r^2

Then take the square root of both sides to get:

(A/pi)^(1/2) = r

Then, since D = 2 * r, we can multiply both sides of the above equation by 2 to get:

2 * (A/pi)^(1/2) = 2 * r = D

Answer:

d=2[tex]\sqrt{a/\pi }[/tex]

Step-by-step explanation:

Answer:

y=1/4x+2

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.

Answer:

y=1/4x+2

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.