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VARVARA [1.3K]
3 years ago
15

A Carpenter charged $1455.98 for materials plus $35.75 per hour for 22.5 hours of labour. What was the total bill.

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0

Answer:

$2260.35

Step-by-step explanation:

Svetllana [295]3 years ago
5 0

Answer:

$2260.35

Step-by-step explanation:

$35.75 ÷ 2 = $17.87 per half hour (0.5)

$35.75 x 22 hrs = $786.50 + $17.87 = $804.37

Total bill = $1455.98 + $804.37 = $2260.35

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DESPERATE FOR HELP! WILL CHOOSE BRAINLIEST!
Stolb23 [73]
TLDR: 241 clients will be taking +3 vacations.

This is a common example of representative scale size, or sample size. In selecting a small amount of people at random from a larger group, one can estimate the amount of people in the large group picking a specific answer based on a smaller, but proportionate, group size.

In the sample size, 21 of the 45 tested people said that they would go on more than three vacations a year, and this scale is supposedly proportional to the total group. Therefore, we can use a simple proportion to estimate the amount of people who would also say that they are going on more than three trips a year:

21 would ‘N’ would
————— = ——————
45 total 516 total

where N represents the number of people in the big group that would go on more than three trips a year.

Solve the proportion by cross-multiplication:

45N = 10,836
N = 240.8 people, or 241 people.

Based on the sample data, 241 people out of the 516 total will be taking more than three vacations a year.
4 0
3 years ago
Help me please geometry!!<br><br> Find the missing side length.
alekssr [168]

Set up a ratio:

16/12 = 28/?

Cross multiply:

16? = 12 x 28

16? = 336

Divide both sides by 16:

? = 336/16

? = 21

7 0
3 years ago
Please use the following image for the next 7 questions. Keep in mind
ziro4ka [17]

Answer:

Step-by-step explanation:

1). Since, XM is the radius of the circle,

   Therefore, area of the circle = \pi r^{2}

                                                   = \pi (XM)^2

                                                   = \pi (12)^2

                                                   = 452.39 units²

2). Circumference of a circle = 2πr

                                                = 2π(XM)

                                                = 2π(12)

                                                = 24π

                                                = 75.40 units

3). By applying Pythagoras theorem in ΔYXM,

    YM² = XY² + XM²

    (43)²= (XY)² + (12)²

     1849 - 144 = (XY)²

     XY = 41.29 units

4). tan(∠M) = \frac{\text{Opposite side}}{\text{Adjacent side}}

                  = \frac{XY}{XM}

    m∠M = tan^{-1}(\frac{41.29}{12} )

              = 73.79°

5). Area of ΔXYM = \frac{1}{2}(\text{Base)}(\text{Height})

                             = \frac{1}{2}(41.29)(12)

                             = 247.74 square units

6). Area of the minor sector created by ΔXYM = \frac{\theta}{360}(\pi r^2)

                                                                             = \frac{73.79}{360}(452.39)

                                                                             = 92.73 units²

4 0
3 years ago
Simplify this PLEASE<br>​
Advocard [28]

Answer:

\frac{12a-14b}{21}

Step-by-step explanation:

Express the 2 fractions with a common denominator of 21

multiply numerator/denominator of first fraction by 3

multiply numerator/denominator of second fraction by 7

\frac{4a(3)}{7(3)} - \frac{2b(7)}{3(7)}

= \frac{12a}{21} - \frac{14b}{21}

= \frac{12a-14b}{21}

4 0
3 years ago
The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

6 0
3 years ago
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