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svp [43]
3 years ago
7

Kyle is renting a jet ski for the day. Below are his two options.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Hi Lawrence!

---------------------------------------------------

We Know:

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

---------------------------------------------------

Equation:

x = per hour

y = total

Powersports: 30x + 50 = y

Sun and Surf: 20x + 80 = y

---------------------------------------------------

Solution: (Add the deposit then start adding hourly costs)

Powersports: 80, 110, 140

Sun and Surf: 100, 120, 140

---------------------------------------------------

Answer: After <u>3 hours</u> both companies will cost the same amount of money.

---------------------------------------------------

Hope This Helps :)

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What is the slope of the line shown below?
melisa1 [442]

Answer:

C. 2

Step-by-step explanation:

Gradient = \frac{change in y}{change in x}

Gradient = \frac{6}{3}

Gradient = 2

7 0
2 years ago
Read 2 more answers
A salesperson earns $300 per week, plus a 25% commission on each sale made. How much would the salesperson earn if he sold $650
Montano1993 [528]

Answer:

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05

x=$10000

Step-by-step explanation:

5 0
3 years ago
All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
noname [10]

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

4 0
3 years ago
A homemade loaf of bread turns out to be a perfect cube. Five slices of bread, each 0.6 inch thick, are cut from one end of the
erastovalidia [21]

A cube has all sides of equal length.

So let the side be x

that will be length = width = height = x  

Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf.  But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.

For each slice the dimensions are -

Length = x

height = x

width = 0.6

Volume of the original loaf is x³.

Volume of  5 slices is 5(x * x * 0.6).  

Volume that is left after the cutting the slices is 235 inch³.

So, equation of the volume is=

x³ - 5(0.6x²) = 235

Solve for x using this equation.

x³ - 3x² = 235

x³ - 3x² - 235 = 0

Using a graph calculator to find the roots, we get

x = 7.35

Hence the dimensions of the original loaf is 7.35 inches for each side.

Please find attached the graph.

7 0
3 years ago
The temperature rose by 11 degrees Fahrenheit today. Write a signed number to represent this temperature change
Anestetic [448]
The rise in temperature by 11 degrees Fahrenheit can be represented by the temperature change, ΔT = +11 °F. The temperature change is positive because the temperature increased as stated in the question. Moreover, the formula for temperature change is: ΔT = T_final - T_initial. This means that for this case, the final temperature is higher than the initial temperature. 
8 0
4 years ago
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