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3 years ago

6

Steve is mowing lawns for the summer. For every mowing job he charges a $10 service fee then

1 answer:

AlexFokin [52]3 years ago

8 0

Answer:

y=5x+10

Step-by-step explanation:

The slope of the equation is caused by a rate of change. The only factor changing in this situation is the amount of money he earns per hour, (5 dollars).making 5 your slope. your y intercept is the one time fee (not changing by any increment of time) making 10 your why intercept. Then you just plug those values into the following equation, y=mx+b, where m is your slope and b is your y intercept.

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Jessica has a circular birdbath in her backyard with a radius of 1.25 feet. She wants to place a decorated border around the cir

Alexxandr [17]

Answer:

The total cost is <em>28.26.</em>

Step-by-step explanation:

The radius of the birdbath is <em>1.25 feet.</em>

The cost per foot is <em>3.6</em> .

<em>The formula for perimeter of circle is given by,</em>

<em>= 2πR , where R is the radius of circle.</em>

Inserting the above value of radius in the equation above,

circumference = 2(π)(1.25) = 2(3.14)(1.25) = 7.85 $ft^{2}$

Thus the total cost is,

= (7.85)(3.6) = 28.26

4 0

3 years ago

How long is the Yangtze river

Nastasia [14]

Answer:

3,915 mi

Step-by-step explanation:

8 0

3 years ago

In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

bezimeni [28]

Given:

In the circle, $m(\overarc{VUX})=152^\circ$ and $m(\angle MUV)=77^\circ$ .

To find:

The following measures:

(a) $m\angle VUX$

(b) $m\angle UXW$

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

$m(VUX)=2\times m\angle VWX$

$152^\circ=2\times m\angle VWX$

$\dfrac{152^\circ}{2}=m\angle VWX$

$76^\circ=m\angle VWX$

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

$m\angle VUX+m\angle VWX=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle VUX+76^\circ=180^\circ$

$m\angle VUX=180^\circ-76^\circ$

$m\angle VUX=104^\circ$

Now,

$m\angle UXW+m\angle UVW=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle UXW+77^\circ =180^\circ$

$m\angle UXW=180^\circ-77^\circ$

$m\angle UXW=103^\circ$

Therefore, $m\angle VUX=104^\circ$ and $m\angle UXW=103^\circ$ .

7 0

3 years ago

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.

GuDViN [60]

Answer:

58.0

Step-by-step explanation:

Given the data:

56 65 62 53 68 58 65 52 56

Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68

Median = 1/2(n + 1) th term

n = sample size = 9

Hence,

Median = 1/2(9 + 1)th term

Median = 1/2(10)th term

Median = 5th term

5th term in the reordered data = 58

Hence, median age is 58

7 0

3 years ago

At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seate

nikitadnepr [17]

Answer:

10 guests a table

Step-by-step explanation:

3 tables

7 late arrivals

37 total people

37 minus 7 is 30

30 divided by 3 is 10

answer is 10

8 0

3 years ago