MATHEMATICS HIGH SCHOOL

Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.

Answers

Answer 1

Answer:

Answer:

y=0.35x+140

Step-by-step explanation:

Step one:

given data

The rental charge is $140 per day

additional charges per mile driven = $0.35 per mile

Step two:

Required

The expression for the total charges

let the number of miles be x, and the total charges be y

the expression for the total charges is

y=0.35x+140

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At the Conic Company, a new employee's earnings E, in dollars, can be calculated using the function E = 0.05s + 30,000, where s represents the employee's total sales, in dollars. All of the new employees earned between $50,000 and $60,000 last year. Which value is in the domain of the function? Please show your workA $34,000
B $300,000
C $430,000
D $3,400,000

Answers

we know that E is in between 50,000 and 60,000. we substitute this in and find the values of s, which are 400,000 and 600,000. This becomes the domain therefore C is the answer.

50,000=0.05s+30,000
20,000=0.05s
400,000=s

60,000=0.05s+30,000
30,000=0.05s
600,000=s

since E is in-between $50,000 and $60,000, s is in between 400,000 and 600,000, which is the domain. C is the answer.

Hope this helps.

How can you choose values for x when making a table of values representing a real world situation?

Answers

You'll see how to set up a table, choose appropriate x-values, plug those values into the equation.

You have a rectangular yard that measures 16 feet long 14 feet wide. It is covered in grass except for the center, where there is a circular fountain with a diameter of 4 feet. What is the area of the grass portion of your yard? Round your answer to the nearest hundredth. is it (a) 131.43 ft.² (b) 173.74 ft² (c) 211.43 ft² (d) 263.74 ft²

Answers

the entire square of your yard is equal to 16*14
16*14=224 square feet
you have to find the area of the fountain and subtract it from the total yard to get just the area with grass
pi*2^2
pi*4=12.57 feet squared
224-12.57= C. 211.43 feet squared of grassy area

The graph shows the cost of parking, y , per hour, x , at a parking garage. The graph is titled Parking Rates. The X-axis is labeled Number of Hours and goes from zero to four by a scale of one. The y-axis is labeled Cost in dollars and goes from zero to eighteen by a scale of two. Five points are shown on the graph. Zero hours, zero dollars. One hour, four dollars. Two hours, eight dollars. Three hours, twelve dollars. Four hours, sixteen dollars. Which equation represents the relationship shown in the graph?

Answers

The relationship shown in the graph represents a linear equation because the cost of parking increases at a constant rate per hour. To find the equation that represents this relationship, we can use the slope-intercept form of a linear equation:

\[y = mx + b\]

Where:
- $y$ is the cost in dollars (the dependent variable).
- $x$ is the number of hours (the independent variable).
- $m$ is the slope, which represents the rate of change.
- $b$ is the y-intercept, which represents the initial cost when $x$ is zero.

Based on the points provided in the graph:

Point 1: (0 hours, 0 dollars) gives us the y-intercept, so $b = 0$.

Point 2: (1 hour, 4 dollars) allows us to find the slope ($m$) as follows:

So, the equation that represents the relationship shown in the graph is:

\[y = 4x\]

This equation represents a linear relationship where the cost ($y$) is directly proportional to the number of hours ($x$) at a rate of $4 per hour.

Hi.i need help with this question.

Workings Please.

1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.

Answers

Answer: radius = 5.83 cm height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

$C=2\pi r\bigg((\theta)/(360^o)\bigg)\n\n\nC=2\pi(10)\bigg((210^o)/(360^o)\bigg)\n\n\nC=(35)/(3)\pi$

The circumference of the the cone is $(35)/(3)\pi$ . We can use this to find the radius .

$C=2\pi r\n\n(35)/(3)\pi=2\pi r\n\n\n(35\pi)/(3\cdot 2\pi)=r\n\n\n(35)/(6)=r\n\n\n5.83=r$

When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

$(35)/(6)^2\ +\ h^2=10^2\n\n\n.\qquad \quad h^2=10^2-\bigg((35)/(6)\bigg)^2\n\n.\qquad \quad h=\sqrt{(6^2(10)^2-35^2)/(6^2)}\n\n\n.\qquad \quad h=\sqrt{(2375)/(36)}\n\n\n.\qquad \quad h=8.12$

If a car cost 35,000 and it depreciates 10% a year. what would the exponential decay equation be?

Answers

.10*35000* # of years

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