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Vesna [10]
3 years ago
5

A bike rental company charges $60 for the first hour, and $25 for each additional hour. Michael wants to spend less than $200 on

his bike rental for the day. What is the maximum number of whole hours that Michael can rent a bike? Which inequality and answer correctly represents the above situation?
A) 60 + 25h > 200; 5 whole hours
B) 25 + 60h < 200; 6 whole hours
C) 25 + 60h > 200; 5 whole hours
D) 60 + 25h < 200; 5 whole hours
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
7 0
$200-60 is 140 then you divide 140 by 25 which 5.6 add you first hour back in 6.6 so answer would is B
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-3q is greater than or equal to 91.5 solve the inequality
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Answer:

q is less than or equal to 30.5

Step-by-step explanation:

Divide both sides by -3, but change the sign (bc you're dividing by a negative)

7 0
3 years ago
What is the surface area of the figure shown above
gtnhenbr [62]

Answer:

  230 cm^2

Step-by-step explanation:

The area of each parallelogram face is ...

  A = bh = (8 cm)(3 cm) = 24 cm^2

The area of the two rectangular faces shown is ...

  A = (area of top face) + (area of right side face)

  A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2

The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...

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Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.

7 0
3 years ago
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
miss Akunina [59]

Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a

Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

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Solve:

a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

7 0
3 years ago
Read 2 more answers
Can someone help me with this question, please. The problem is attached.
fomenos

It is a reflection across the y axis, then a translation to the right 2 units.  


I hope this helps!  If you have more you want help with I can help.  

3 0
3 years ago
Find the volume of the cone
alexdok [17]

Answer:

Find 6.75% of 260

Step-by-step explanation:

Hi

8 0
3 years ago
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