Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3

Answers

Answer 1

From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.

What is a equation?

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

x= miles

60+0.6x=0.8x

0.8x-0.6x=60

0.2x=60

x=60/0.2

=300 miles

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Related Questions

A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!

Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours

Answers

The answer is D. 120x + 60 = 6 hours

Answer:d. 120x+60=780

Step-by-step explanation:

120 cost per x hours

Flat Rental cost 60

120x+60=780

-60 as the flat rate which won’t change based on time.

120x=720

Divided by a rate of 120 per hour

x=6 hours

A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?

Answers

Answer:1.5 inches

Step-by-step explanation:

A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season.

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to divide both numerators then the denominater.

So, it would look like:  160 over 90 x 100 over 290

160x100=16   90x290=25     16/25

             

GEOMETRY PLEASE HELP. Can you see triangles in this baseball player’s posture? Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find. For example, you might look for certain triangles formed in golf or baseball swings, or you could look for the triangles formed by players on a soccer field.

Answers

Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

What is trigonometry?

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.

Here,

Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.

The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.

Many sports use geometric forms to help delineate the precise areas of play.

View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.

Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

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A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.

Express the monthly cost C in terms of minutes of call time ?

What will the monthly cost be if you make 280 minutes of calls this month?

Answers

Answer: $32.75

Step-by-step explanation:

If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.

I hope this answer helped you. :)

Answer:

$32.75

Step-by-step explanation:

10.35 + (0.08×280)

write 363 in the base-four system

Answers

Answer:

  363 = 11223₄

Step-by-step explanation:

You want 363 written in base 4.

Base conversion

We can convert to base 4 by looking at the remainders from repeated division by 4:

  363 ÷ 4 = 90 r 3

  90 ÷ 4 = 22 r 2

  22 ÷ 4 = 5 r 2

  5 ÷ 4 = 1 r 1

  1 ÷ 4 = 0 r 1

Writing the remainders in reverse order gives the base-4 number:

  363 = 11223₄

Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240

(You must define you variables and show your equations)

Answers

Tony purchased 12 books and 6 magazines for a total of $240.

What is equation?

An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.

He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.

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If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC

Answers

The measure of angle ∠JBC is 56 degrees.

How to find the measure of an angle

From the question

If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:

m∠ABC = m∠DBJ

Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.

Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:

m∠JBC = m∠ABC + m∠ABJ

Substituting the value for m∠ABC from the first equation into the second equation, we get:

m∠JBC = m∠DBJ + m∠ABJ

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = m∠DBJ + 28

Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:

m∠JBC = m∠ABJ + 28

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = 28 + 28

Solving this equation, we find that m∠JBC = 56.

Therefore, the measure of angle ∠JBC is 56 degrees.

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SOMEOINE HELP!!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 2), (2, 4), (3, 8), (4, 16) Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points) Part B: Write a function to represent the data. Show your work. (4 points) Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)

Answers

Answer:

Part A:

This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.

Part B:

To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).

Substituting in the values from the first data point, we get: 2 = ab^1

Substituting in the values from the second data point, we get: 4 = ab^2

We can then solve for a and b by dividing these equations:

4/2 = (ab^2)/(ab^1)

2 = b

Substituting this value back into the first equation, we get:

2 = a*2^1

1 = a

Therefore, the function that represents this data is y = 2^x.

Part C:

To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).

Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.

Therefore, the average rate of change between station 2 and station 4 is 6.

Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X. What is the measure of each angle?

Answers

The measure of each angle X and Y are x = 32 degrees and y = 58 degrees

How to determine the measure of each angle

From the question, we have the following parameters that can be used in our computation:

Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X.

The above statements mean that

x + y = 90

y = 2x - 6

Substitute the known values in the above equation, so, we have the following representation

x + 2x - 6 = 90

Evaluate the like terms

3x = 96

Divide both sides by 3

x = 32

Substitute x = 32 in the equation y = 2x - 6

y = 2 * 32 - 6

Evaluate the equation

y = 58

Hence, the measure of the angle y is 58 degrees

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what is 92,572 rounded to the nearest ten thousand

Answers

Answer: it is 90,000 i believe

Answer: 90,000

Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down

(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)

Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}

Answers

The domain and range of the function on the table are the ones in options B and C.

Domain: {-3, 1, 5, 7}

Range: {2, 4, 5, 9}

How to find the domain and range of the function?

For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.

On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.

Then the domain is just the set of the values of x on the table:

Domain: {-3, 1, 5, 7}

And the range is the set of the values of y on the table:

Range: {2, 4, 5, 9}

Then the correct options are C and B.

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Write an equation in standard form passing through the given point and parallel to the given line: (-1,-1) y = - x - 5

A: x - y = -2
B: x + y = 0
C: x - y = 0
D: x + y = -2

Answers

Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

What is standard form?

The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.

A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.

To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first

We know that parallel lines have same slope, so

y - y1 = m(x - x1)

y -(-1) = -1(x -(-1)

y + 1 = -x - 1

y = -x - 2

y + x = -2

Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.

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Please help will mark Brainly

Answers

Answer:

it too far i can't see it

Step-by-step explanation:

A bicycle shop is selling $500.00 bikes at 10% off. If the sales tax is 13% how much will the
bike cost?

Answers

Here’s the answer with explanation.

Need help I can’t solve it

Answers

Answer:

  Coupon A is better by $2.80.

Step-by-step explanation:

You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.

Reduction

The price reduction offered by coupon B is ...

  0.60 × $87 = $52.20

Comparison

Clearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...

  $55.00 -52.20 = $2.80

Coupon A gives the lower price by $2.80.

x^2-2/3x+9 factored

Answers

Answer:

x^2 - 2 /3 (x+3)

Step-by-step explanation:

The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day

Answers

cost for five days = 235
5 x 45 = 225
225 + 10 = 235!!!

The cost c in pounds of hiring a van is 235

The cost c in pounds for 1 day =45

Then cost c in pounds for  five days is c=10+45d

Which is multiple 5 days to the 45

5 x 45 = 225

Add the 10 to the answer

225 + 10 = 235

The cost  of a van hiring for number of days is 5

Then the final answer for cost c in pounds of hiring a van for five days are 235

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12 cups to 2 pints ratio

Answers

12:2 is the answer okay

how to simplify 93.37

Answers

Answer: simplified to the tens digit would be 93.4 simplified overall would just be 93.

Step-by-step explanation: Hope this helps, please mark brainliest, and give thanks!

If
f
(
x
)
=
2
x
4

3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x

1
x−1?

Answers

x

1

x−1?x

)

=

2

x

4

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

1

x−1?

Nathan and Lucy are selling blueberry and apple pies for a fundraiser. Nathan sold and 13 apple pies for a total of $147. Lucy sold 7 blueberry pies and 11 apple $204. What is the cost of one blueberry pie and one blackberry pie?

Answers

The cost of  one blueberry pie and one blackberry pie is $11.30 and $11.373 respectively.

What are mathematical operators?

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.

Given Nathan sold 13 apples pies for $147,

cost of 13 apple pies  = $147

cost of 1 apple pie = 147/13 = $11.30

Lucy sold  7 blueberry pies and 11 apple pie $204.

7 blueberry  + 11 apple pie = $204

cost of 11 apple pie  = $124.384

cost of 7 blueberry = 204 - 124.384 = $79.615

cost of 1 blue berry = 79.615/7 = $11.373

Hence the cost of 1 apple pie is $11.30 and 1 blueberry is $11.373.

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Someone please solve this pageee!!

Answers

On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here, the equation from the graphs is

[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]

and y = 8

x = 59

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Evaluate the expressions 56 with a variable of -1

Answers

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

Red city rockets connections academy

Answers

Answer: what

Step-by-step explanation:

We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."

Answers

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

(2,1)
H
-8-6-4-2
(6,-3)
948
6+Q
4
y
·N··
2+
-2-
-6-
-8
P
2
4 6
R
8
What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X

Answers

Answer: free allah long live

Step-by-step explanation:

46564

Guys, how many triangles are in this picture? Triangles with stripes inside also count

Answers

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

What is the SAS?

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.

7x + 10y = 2900
x + y = 320

7x + 10y = 320
x + y = 2900

10x + 7y = 2900
x + y = 320

10x + 7y = 320
x + y = 2900

Brainiest for correct answer

Answers

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?

Answers

Answer: 40 cm

Step-by-step explanation:

The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm

Other Questions
What was the Three-Fifths Compromise and why was this included in the Constitution? 1. The following information relates to YANET PLC for the year ended 31 December, 2021 The statement of profit or loss for the year ended 31 December, 2021 Birr (000) 55,000 35,100 19,900 Revenue (net sales) Less: Cost of sales Gross profit Total expense EBIT Less: Interest Profit before tax Less: tax Profit for the year Assets Non-current assets Current assets Inventory Receivables Statement of Financial Position as at 31 December, 2021 2000 (Birr 000) 15,330 Cash Total Current assets Total Asset Equity and liabilities Equity Share capital Retained earnings Total Equity Non-current liabilities Long term- Loan Current liabilities 1. Rate of return on total asset 2. Profit Margin ratio 3. Current ratio 4. Inventory turnover ratio 5. Account receivable turnover ratio 1,908 4,362 2021 (Birr 000) 17,190 7,000 4,100 12,070 7,830 1,560 6,270 1,645 12,745 29,935 7,700 6,515 14,215 9,940 5,780 Total liabilities 15,720 Total equity and liabilities 29,935 Required: A) Calculate the following ratios for 2021. 22% 4% 2.5:1 6,930 3,675 2,110 12,715 28,045 6 13 40% 6 7,700 4,905 12,605 Industry Average 9,450 5,990 15.440 28,045 6. Debt ratio 7. Times interest earned B) Based on the above industry average, suggest the company profitability, liquidity and use of financial gearing. How does the mood change in the second stanza? Do you think Charlemagne was a more of a hero or a villain? Why? Christmas Tree Park, and Lumber Value enter into an oral contract for the sale of a lumber mill and the land on which it is situated from Christmas Tree Park to Lumber Value. Under the Statute of Frauds, this contract is enforceable by What are the benefits of manufacturing your own products? SUBJECT: GEOMETRYHello!! Could somebody please solve this for me asap, I'm having a bit of trouble? The problem is shown in the picture. What countries were invaded in ww2? A theater sold 85% of the tickets for aplay. If 170 tickets were sold, how manytickets were originally put up for sale? The struggle between organized religion and government is a fundamental issue in human life. Today, most countries are ruled by secular governments. But some countries are ruled by religious figures or by governments that adhere to a specific religion. How might life differ in each type of country? As you think about it, consider how the rivalry between the papacy and the European monarchs affects your own life today. Drag each tile to the correct box.Arrange the balls in order from greatest amount of gravitational potential energy to least.ABCA0-ADBEVCFLL>DLLIEVLLFV What are the 5 most common budgeting methods? Colton works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Colton make in a week in which he made $1075 in sales? How much would Colton make in a week if he made xx dollars in sales? which character relationship in the tempest is the best example of how the colinizers used language as power 5. Elaborate the values of the ancient and medieval socio-cultural achievements on the present country's economy. Question 9 of 10Why were more Americans able to buy homes after World War II?OA. Banks were less involved in the buying processOB. Home prices fell to record lowsC. People were more willing to take on debtOD. All of the aboveSUB Close Read: Gaming Communities The collective action problem where multiple firms chase elusive advantage in exploiting employees, degrading the environment, and pressuring developing countries to weaken regulation and lower tax rates is often called _______. Which definition best reflects the meaning of deposited in the passage A voltage vL(t)=10cos(2000t) is applied to a 100-mH inductance.A)Find the complex impedance of the inductance.