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ddd [48]
3 years ago
6

An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com

plete photo book is $5 write an expression to determine the total cost in dollars and ship a photo book with x extra pages
Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

The expression to determine the total cost in dollars is y=25+0.75x.

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and  Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

y=20+0.75x+5\\\\y=25+0.75x

Hence the expression to determine the total cost in dollars is y=25+0.75x.

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What is the equation of a circle that has a center at (-4, 10) and a radius of 8?
mars1129 [50]

Answer:

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (-4, 10)

This means that x_0 = -4, y_0 = 10.

Radius of 8:

This means that r = 8. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-4))^2 + (y - 10)^2 = 8^2

(x + 4)^2 + (y - 10)^2 = 64

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

3 0
3 years ago
The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as
NeX [460]
Nice

area=pir^2
the areas are
pir^2+pi(2r)^2
they add to 8pi

8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
add
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5

radius=(4√10)/5
5 0
3 years ago
Jaylan decided she no longer liked the car she was leasing and turned it in 1
Stolb23 [73]

Answer:

Step-by-step explanation:

I'm pretty sure its lease penalty

5 0
3 years ago
Can someone explain the steps to finding the perimeter of a semi-circle? I didn't really understand it during class. Thanks
andriy [413]
We know that the perimeter of a cylinder is 2πr we will find it as we do always. The perimeter will be :
2 pi r
= 2 pi * 20
= 40 pi
Because it says rounded to the nearest tenth the answer will be : 125.6 cm^3
Because we have a half of a cylinder we will just divide the answer we got by 2:
125.6cm^3 /2 =62.8
The answer is 62.8 cm^3
6 0
3 years ago
Given right triangle ABCABC with altitude \overline{BD}
Alex

Answer:

x = 2\sqrt{11}

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

BD = \sqrt{AD*DC}

Plug in the values

BD = \sqrt{4*7}

BD = 2\sqrt{7}

Use pythagorean theorem to find x:

x² = AD² + BD²

Plug in the values

x^2 = 4^2 + (2\sqrt{7})^2

x^2 = 4^2 + (2\sqrt{7})^2

x^2 = 16 + (4*7)

x^2 = 16 + 28

x^2 = 44

Take the square root of both sides

\sqrt{x^2} = \sqrt{44}

x = \sqrt{44}

x = \sqrt{4 * 11}

x = 2\sqrt{11}

6 0
3 years ago
Read 2 more answers
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