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Brut [27]
3 years ago
12

Sunrise, a bed-and-breakfast hotel, charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called

Bright Eyes charges a flat rate of $95 per night. Craig wants to book a hotel for 5 nights.
Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

Sunrise $450 Bright Eyes $475

Step-by-step explanation:

Let x= number of days

Sunrise:

(25 + 85x)= total cost

(25+85(5))= $450

Bright Eyes:

(95x)= total cost

(95(5))= $475

RSB [31]3 years ago
6 0
Sunrise bed and breakfast hotel would be a cheaper cost for 5 nights
Explaination thank me
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A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
What’s an inverse operation?
yulyashka [42]
The opposite of a equation. Such as addition will be subtraction
4 0
3 years ago
Write an equation in slope-intercept form for a line that passes through the given pair of points. (-6,5), (-9,0)
11111nata11111 [884]
Slope intercept form is y=mx+b  because m=slope and b=y-intercept hence "slope intercept form"...

m=deltay/deltax=(0-5)/(-9--6)=-5/-3=5/3 so far we have now:

y=5x/3 +b, using any point, I'll use (-9,0) we can now solve for b or the y-intercept...

0=-9(5)/3 +b

0=-15+b, so b=15 and our line is:

y=5x/3 + 15 or more neatly

y=(5x+45)/3
4 0
3 years ago
How many triangles are shown, including any overlapping triangles?
olga55 [171]
8 triangles in the image 
4 0
3 years ago
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If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
kirza4 [7]

Answer: -2x + 12

Step-by-step explanation:

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5 0
2 years ago
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