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

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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Only answer if you’re sure :) need full equation. Will give Brainly!

Answers

Answer:

Step-by-step explanation:

Only one answer will do for this question and that is 1.

y/x = 5/5  =   1

y/x = 6/6  =  1

y/x = 1/1 = 1

The one you have to be careful with is when x = 0 y = 0. You can't solve this by using y/x  because 0/0 is undefined at this point.

slove system equations
x+y=8
x-y=4

x=? y=?

Answers

Answer:

Step-by-step explanation:

To solve this system of equations, you can use the substitution method.

In this method, you solve one of the equations for one of the variables in terms of the other variable. Then you substitute this expression into the other equation. This will give you a single equation in one variable, which you can solve to find the value of that variable. Finally, you can substitute this value back into one of the original equations to find the value of the other variable.

To solve this system using substitution, we can solve the second equation for y:

y = x - 4

Then, we substitute this expression for y in the first equation:

x + (x - 4) = 8

Combining like terms, we get:

2x - 4 = 8

Adding 4 to both sides, we get:

2x = 12

Dividing both sides by 2, we find that:

x = 6

Now we can substitute this value back into one of the original equations to find the value of y. Let's substitute it into the second equation:

x - y = 4

Substituting 6 for x, we get:

6 - y = 4

Subtracting 6 from both sides, we find that:

y = 2

So the solution to the system of equations is x = 6 and y = 2.

Answer:

x=6, y = 2

Step-by-step explanation:

If you add 2 expressions, 2x = 12, so x = 6.

So the other one y = 2.

Malika owns a small business selling bagels. She knows that in the last week 63
customers paid cash, 22 customers used a debit card, and 13 customers used a credit
card
Based on these results, express the probability that the next customer will pay with
cash as a fraction in simplest form.

Answers

The correct answer is 9/14

Ian shuffles a standard deck of 52 playing cards and turns over the first four cards, one at a time. He records the number of aces he observes.

Have the conditions for a binomial setting been met for this scenario?

Yes, a success is “ace.”
Yes, all four conditions in BINS have been met.
No, we do not know how many aces will occur in those first four cards.
No, the cards are not being replaced, so the independence condition is not met.

Answers

Answer:

D No, because the cards are not being replaced in the deck after they are turned over, the independence condition has not been met.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

lucky guess

plz anserw these questions. i will give brainelst

Answers

Answer:

Hello, their has been a update to brainly. we no longer accept images, **** off

Step-by-step explanation:

How much more interest would be earned on a 100,0000 CD for 9 months than for 6 monthd

Answers

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

How is the additional interest determined?

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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Question Completion:

APY = 4%

Hey can someone pls help me? I’m confused. It says “find the value of x using complementary angels.”

Answers

Answer:

x = 9    if there is any confusion, please ask questions

Step-by-step explanation:

so in math, a complementary angle is when two angles add up to 90 degrees.

to find this, you have to do 90-81

90 - 81 = 9

What is the value of x in the equation below?

1/3(12x-24) = 16

2
6
8
10

Answers

9514 1404 393

Answer:

  (b)  6

Step-by-step explanation:

Eliminating parentheses gives ...

  4x -8 = 16

Dividing by 4, we have ...

  x -2 = 4

  x = 6 . . . . . . add 2

A dice is rolled. What is the probability of rolling a 6 or less than 4?

Answers

Answer:

Rolling a 6 would be 1 in 6

And rolling a four or less would be 4 in 6

Step-by-step explanation:

S= {1,2,3,4,5,6}

|S|=6

E=rolling a 6 orless than 4

➜{1,2,3,6}

|E|=4

P(E)=|E| /|S|

➜4/6

➜2/3

Is the vertex of -x^2q-2x+10=0 parabola a maximum value or minimum value?

Answers

The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.

Determine whether the parabola is maximum value or minimum value?

Given the equation of the parabola;

-x² - 2x + 10 = 0

First, the maximum of a quadratic function occurs at;

x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)

f_max(x) = ax² + bx + c occurs at;

x = -b/2a

Now, find the value of x = -b/2a

Plug in a = -1 and b = -2

x = -( -2/2(-1) )

x = -( -2/-2) )

x = -( 1 )

x = -1

Hence;

f(x) = -x² - 2x + 10

f( -1 ) = -( -1 )² - 2( -1 ) + 10

f( -1 ) = -1 + 2 + 10

f( -1 ) = -1 + 12

f( -1 ) = 11

Therefore, maximum occurs at (-1,11).

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Jason found the measure of angle A

Answers

Jason and Allison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of 22° 8’ 6”. At the same time, Allison is standing 48 feet closer to the tree, measuring an angle of elevation of 30° 40’ 30” to the owl. If Jason and Allison are the same height, their eyes 5 feet from the ground, find the height of owl in the tree.

Solve the system of equations.
3x-2y = 3
-4x + 5y = -11

Answers

On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have

3x-2y = 3

-4x + 5y = -11

and on solving we got

x = 12 and y = -21

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Find f(2) for the following quadratic.
• Write your answer as a number only.

Answers

Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.

How do you find f 2 on a parabola?

Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.

As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.

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Find the measure of m∠A (inside the triangle).

Find the measure of m∠B.

Find the measure of m∠C.

Answers

Answer:

85 degrees

Step-by-step explanation:

180=x+4x-20

180=5x-20

200=5x

x=40

C=2(40)+5

C=80+5

C=85

hello i need help with my math question please thank.

Answers

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

How to purchase a vehicle?

A vehicle can be purchased on the following ways:

Lease:  This involves granting the user access on the property over a period of time before he could make payment

Hire purchase:  In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis

Cash:  In this method the buyer pays cash at prompt or on the point of purchase

Advantages include:

It places the buyer on good life without cash

He enjoys the luxurious life

Disadvantages:

He can run away with the vehicle

The seller looses in cash of accident taking the life of the buye

Additional expenses include

Cost of maintenance

Repairs

Fueling

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What number is equivalent to

32 + 6 – (14 – 5 × 2) ÷ 4

A
234

B
1012

C
14

D
15

Answers

That answer would be A hope it right

Answer:

C you all welcome:)

Step-by-step explanation:

A was wrong sorry to tell you

A factory makes 1200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. enter the fewest number of workdays the factory will need to make 12,600

Answers

Answer: 7

Step-by-step explanation:

9/6 = 1.5

1200 x 1.5 = 1800 (t-shirts a work day)

12 600/1800 = 7

7 work days

15) Find x if m m/MTU = 38°, and m/STU = 2x + 88.

x + 50 = 2x + 88

Answers

Therefore , the solution of the given problem of equation comes out to be  x = 38.

What is equation?

Equivalent is the meaning of the Latin term equ. A lot of variable words in the English language, such as adequate, equator, and equality, have Latin roots as their root words. Since both side of an equations are, by definition, "equal" to one another, the Latin root term equ makes its way into our vocabulary quite simply.

Here,

Given : m m/MTU = 38°, and m/STU = 2x + 88.

thus,

x + 50 = 2x + 88

To find the value of x:

We do,

=> x + 50 = 2x +88

=> x -2x  = 88 -50

=> -x = -38

=> x = 38

Therefore , the solution of the given problem of equation comes out to be x = 38.

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if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}

Answers

1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.

2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.

3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.

4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.

5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.

6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.

What is a function?

It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.

On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.

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This a final question can anyone help ASAP

Answers

Answer:

4.6

Step-by-step explanation:


Question 7: I Can Identify the Slope and Y-intercept in an Equation.

Answers

Answer:

a) m = 3   b = 1/5

b) y = 1/2x - 3

Step-by-step explanation:

y=mx+b



HELP PLSSS ILL GIVE BRAINLEST NOO FILES OR LINKS WILL REPORT

The graph of y = ax? + c, where a and c are
constants, is shown. What is the value of a ?

Answers

Answer:

A = 1/4

Step-by-step explanation:

Answer:

A = 1/4 is the correct answer

WILL MARK BRAINLIEST!

Given: parallelogram ABCD, calculate the length of AD

Answers

Answer:

15

Step-by-step explanation:

Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5,  20-5=15 so the answer is 15

Would be amazing if you marked this brainliest :)

Just need the answer to this question. No explanation needed

Answers

The distance of the ship from lighthouse found using sine law at both locations are 14.12 miles and 4.8 miles.

What is sine law?

The sine law asserts that the ratio of a triangle's side length to the sine of its opposing angle, which is constant for all three sides.

From the given figure we can find θ = 30 - 10 = 20°

According to sine law, we can write the following equation,

[tex]\frac{9.6}{sin \theta} = \frac{x}{sin \angle ABL} = \frac{y}{sin \angle LAB} \\[/tex]

From the figure, we get that ∠LAB= 10° (alternate angles)

∠LBC = 30°

∠ABL = 180 - 30 = 150°

θ = 20°

Substituting above values in the equation we get ,

[tex]\frac{9.6}{sin 20} = \frac{x}{sin 150} = \frac{y}{sin 10} \\\\\frac{9.6}{0.34} = \frac{x}{0.5} = \frac{y}{0.17}[/tex]

Solving the above we get,

x = 14.12

y = 4.8

Therefore the ship began 14.12 miles from the lighthouse and after travelling 9.6 miles south it is at 4.8 miles from the lighthouse.

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Jared bakes 2 apple pies. He cuts the two pies into pies. Each piece is 1/8 of a pie. How much pie did Jared. cut?​

Answers

He cut 16 pieces

I really hope this helps :D

Subtract the sum of 9 3/4 and 3 1/8 from 18 7/16


help pls

Answers

Answer:

-26/25

Step-by-step explanation:

I took the quiz and I got an A+

Answer:

5 7/16

Step-by-step explanation:

First off, make all the numbers have the same denominator.

In this case, the best one would be 16.

For 9 3/4, the four goes into 16 four times. So you multiply the 3 by four, and get 12 in the numerator. So it is now 9 12/16.

Next we have 3 1/8. 8 goes into 18 2 times. So you multiply 1 by 2 and get 2 in the numerator. So it is now 3 2/16.

Now, lets add the two together:

3 2/16+9 12/16 =

12 14/16

Now we know the sum of the two numbers.

Lets subtract this from 18 7/16:

18 7/16-12 14/16

=

5 7/16

This is your answer!

Hope this helps! :)

PLEASE HELP
Classify the solid.
Your answer

Answers

Answer:

Square pyramid

Step-by-step explanation:

Hope this helps

will mark brainlist!! please help ​

Answers

Answer:

(2 2) is answer of this question

Answer:

(2,2) is the solution to both lines A and B

Step-by-step explanation:

this is because they both intersect at point (2,2)

Solve the following quadratic equation for all values of x in simplest form.

4(x 2−5)−1=3

Answers

The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6

How to determine the solutions to the equation?

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

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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