A rentail truck company charges $25 per day plus $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?

Answers

Answer 1

Answer:

0.35m + 25 = 42.50

Step-by-step explanation:

If you were to rent a truck for one day you will first have to pay a $25 fee for one day. This is represented by + 25 in the equation above.

Then for every mile you go you must pay $0.35, represented as 0.35m.

As an example to make it easier if you had to pay 1 dollar per mile and you went 10 miles it would cost $10. This can be proved by 1m (m being the variable for number of miles) Plug in 10 for m and you can asee 1(10)=10, because obviously 1 times 10 is 10.

Same premise with $0.35

Then both of those fees added up are equal to a total of $42.50.

To prove it can find the exact number of miles that need to be driven to cost a total of $42.50 just follow steps bellow.

1. 0.35m + 25 - 25 = 42.50 - 25

Subtracting the inital fee since it is part of the total, and if you add/subtract/multiply/divide on one side you must do to the other.

2. 0.35m/0.35 = 17.50/0.35

You divide because m is being multiplied with 0.35 and to undo the multiplication you divide. Doing the same to both sides.

3. m = 50

Plug in 50 to "m" in the equation above and if both sides are equal the answer is valid.


Related Questions

Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed

Answers

Answer:

I believe the answer is 84 centimeters.

Step-by-step explanation:

If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.

Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.

Answers

Answer:

Here,

f(x)=2x+3(x-3)

if f(x)=11

we know that,

or,11=2x+3(x-3)

or,11=2x+3x-9

or,11+9=5x

or,20=5x

Therefore,x=4

Answer:

x = 4

Step-by-step explanation:

2x + 3x - 9 = 11

5x = 11+9

5x = 20

x = 4

Feel free to mark it as brainliest :D

Which activity is involved when determining which probability distribution to use to calculate probabilities?

Answers

Answer:

Statistics.

Step-by-step explanation:

Statistics is the branch of exact sciences that has the objective of collecting data from reality from taking samples of a specific group of society or a particular situation, thing or event, and comparing the differences between these samples to obtain a general sample of a certain common characteristic.

Thus, statistics seeks through comparison to establish parameters on which the other sciences are based in order to develop theories, relying on the repetition of characteristics common to the groups analyzed.

In “We Wear the Mask,” how does the poet use irony to reject the romantic notion of idealism? by describing how people attempt to hide their pain by pretending to be happy by pointing out that most people are truly happy, despite appearing depressed by describing how people attempt to appear happy for the sake of material gain by pointing out that most people are unable to recognize their own emotions

Answers

Answer:

The correct answer is the first one - by describing how people attempt to hide their pain by pretending to be happy.

The poet wants to show that people are constantly wearing masks to hide their real emotions. They pretend to be happy so that others wouldn't realize how they truly feel - they don't want to be that vulnerable and open up to others about their real emotions.

Step-by-step explanation:

credit to Greanleafable

Answer:

A.) By describing how people attempt to hide their pain by pretending to be happy

Step-by-step explanation:

EDG

What is the solution to the equation 4(b - 2) - 10 = 2b + 6 A ) b = 4 B) b = 3.3 C) b = 7.5 D b = 12

Answers

B 12.
Look at the photo to see my work.

-24 - (-6) = -24 + 6
True or False.

Answers

Answer:

True

Step-by-step explanation:

When you have 2 negative together they will become a positive (5- (-2) = 7)

Answer:

True

Two neg. make a pos.

-24-(-6) would become -24+6=-18

Pls help I will mark

Answers

Answer:

C

Step-by-step explanation:

Help please! This has to do with the Pythagorean theorem.

Answers

so the pythagorean theorem is:

a^2+b^2=c^2

where a and b are the sides, and c is the hypotenuse.

to fill this in, we will get:

x^2+8^2=14^2

now we will need to solve.

x^2+8^2=14^2
x^2+64=196
x^2=132
x=11.5

Answer: It's 11.5

Explanation ( took so long)

[tex]C = \sqrt{a^{2} + b^{2} }\\14 = \sqrt{8^{2} + b^{2} }\\14 = \sqrt{64 + b^{2} }\\14^{2} = 64 + b^{2} \\196 = 64 + b^{2} \\64 +b^{2} = 196\\b^{2} = 196 - 64\\b^{2} =132\\b = \sqrt{132} \\b = 11.48[/tex]

Consider a sample with six observations of 15, 16, 12, 8, 6, and 9. Compute the z-scores for each sample observation.
Sample observation. z-scores
15
16
12
8
6
9

Answers

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

HELP ASAP! I WILL GIVE 20 POINTS AND MARK AS BRAINLIEST!

Answers

Answer:

p=3m

Step-by-step explanation:

if u bought a hambuger for 2.30 with a 5 how much change would u get back

Answers

Answer: 2.70

Step-by-step explanation: 5-2.30=2.70

Answer:

$2.70

Step-by-step explanation:

alright dig this

5-2.3=2.7

my source? a calculator

also im going to assume that sales tax doesn't exist in this problem heehoo

The tablet below represents ordered pairs that satisfy the functions f(x) and g(x). If f(x)=4x, which statements are true of g(x)? Select two options

Answers

B and D are the correct answers.

By looking at the table, we can see that the value for g(x) is always f(x)-1. Thus we can conclude that

[tex]g(x) = 4^x-1[/tex]

Now, think about the graph. For every value of y in f(x), the value of y in g(x) will be reduced by one. This means that the graph is translated down 1 unit!

The domain of both functions is actualy the same, that is, [tex]x\in\mathbb{R}[/tex].

However, the range won't be the same. As [tex]x[/tex] approaches negative infinity, the exponentials always approaches zero. Thus, f(x) has range between zero and positive infinity. But, for g(x), we are subtracting one unit from the Y values, therefore the range will be between negative one and positive infinity. In conclusion, their range is different.

Overral: The true statements are the second and the fourth only

) Solve for x: –3(4x – 1) = –6(2x + 3)

Answers

Answer: there's no solution

Step-by-step explanation:

first, we remove the parenthesis.

-12x + 3 = -12x - 18

then, we cancel equal terms.

3 = -18

that doesn't work, so it makes a false statement.

no solution.

It will have to be no solution

An item is regularly priced at $80, Ryan bought it at a discount of 5% off the regular price. How much did Ryan pay?

Answers

Answer:

16

Step-by-step explanation:

divide by 5

Answer:

$76

Step-by-step explanation:

5% of $80 is $4

$80-$4= $76

What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm







Answers

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

can anyone answer this please

Answers

I think it’s either A or D.

A new car is purchased for $18,000. Every year after the new car is purchased, it loses 1/3 of its value. Is this an example of exponential growth or exponential decay? Explain your answer based on what you have learned about exponential growth and exponential decay.

no joke answers pls.
reply if you know the answer.

Answers

Answer: Exponential Growth

Step-by-step explanation:

Since this car is being divided, it will only increase it's value, hope this helps, Merry Christmas and have a nice day.

18 000 / (1/3) =

54000

prove that 1 + sin theta /cos theta + cos theta / 1 + sin theta =
2 sectheta​

Answers

Given:

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta [/tex]

To prove:

The given statement.

Proof:

We have,

[tex]\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}=2\sec \theta[/tex]

Taking LHS, we get

[tex]\text{LHS}=\dfrac{1+\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{1+\sin \theta}[/tex]

Taking LCM, we get

[tex]\text{LHS}=\dfrac{(1+\sin \theta)^2+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{(1)^2+2\sin \theta +\sin^2 \theta+cos^2\theta }{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]\text{LHS}=\dfrac{1+2\sin \theta +1}{\cos \theta(1+\sin \theta)}[/tex]    [tex][\because \sin^2 \theta+cos^2\theta =1][/tex]

[tex]\text{LHS}=\dfrac{2+2\sin \theta}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2(1+\sin \theta)}{\cos \theta(1+\sin \theta)}[/tex]

[tex]\text{LHS}=\dfrac{2}{\cos \theta}[/tex]

[tex]\text{LHS}=2\sec \theta[/tex]         [tex][\because \sec\theta=\dfrac{1}{\cos \theta}][/tex]

[tex]\text{LHS}=\text{RHS}[/tex]

Hence proved.

6th grade math look at the pictures

Answers

Answer:

use a calculator.

Step-by-step explanation:

Answer:

2. 17.624

3. 9.72

4. 14.3

5. 2.11

8. 5,105.16

10. 124.7

Step-by-step explanation:

3C + 2b + 2c - 4b simplify the equation ​

Answers

Answer:

5c - 2b

Step-by-step explanation:

3c + 2c +2b -4b

5c - 2b

hope it helps :)

if it helps plzzzz mark me brainliest

5c + 2b

combine 3c and 2c and -4b and 2b

Pls help answer correctly for brainliest pls and 50 points

If x = 4 then 2x + 6 =

If b = 12 then 2(3b + 1) =

If x = 5 then x^2 + 4 =

If x = 2 then 9x + 13 =

If x = 5 then 4x - 1 =

If x = 3 then 4x - 3 =

If s = 6 then 9 + 3s =

If x = 4 then 3x - 4 =

If n = 8 then 3(n + 1) =

If n = 6 then 5(n - 5) + 16 =

Answers

Answer:

Just substitute

Answers in order of questions

147429311992782721

Hope this helped. Please mark as brainliest!

Answer:

lol whyd you delete my answer

Step-by-step explanation:

please help ALGEBRA II

Answers

The answer is a I know this because I took the test

The weight, X, of cherry tomatoes selected at random from a very large bin at the local supermarket follows a Normal distribution with mean 3 oz. and standard deviation 2 oz. Suppose we pick 8 cherry tomatoes from the bin at random (independently) and put them in our bag. What is the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz (rounded to the nearest 0.01)?

Answers

Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Step-by-step explanation:

Given that;

X has normal distribution has mean µ = 3

standard deviation σ = 2  

now

P( x< 4) = P( (x-µ)/σ /(3-4)/5)

= P( z < -0.5 )

= 0.3085  {from the z-table}

X has binomial distribution with n = 8 and p = 0.3085

so P(x=5)

P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵

= 0.0517  ≈ 0.05

Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05

Which of the following is a correct interpretation of the expression 2 + 72+72, plus, 7? Choose 1 answer: Choose 1 answer: (Choice A) A The number that is 222 to the left of -7−7minus, 7 on the number line (Choice B) B The number that is 222 to the right of -7−7minus, 7 on the number line (Choice C) C The number that is 777 to the left of 222 on the number line (Choice D) D The number that is 777 to the right of 222 on the number line

Answers

Answer: Your real answer is D

Step-by-step explanation:

The start is 7 to the right of 2

Answer:

the answer is 0

Step-by-step explanation:

Amanda opened a lemonade stand on her street. It costs her $10.75 to buy the supplies each day, and she sells lemonade for $1.50 a cup. If she wants to make at least $50.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Amanda needs to sell? Input your answer as a whole number.

Answers

Answer:

41

Step-by-step explanation:

i rounded the 40.5 to 41.

Can someone help with this please?

Answers

Answer:

Y= -1/4x -1  3/4

or Y= -0.25x -1.75

Step-by-step explanation:

I got this by finding the distance between the points.

The distance is 8x and -2y

Divide that by 2 and you get 4 and -1 or -4/1

Then knowing that the slope is -0.25, you know that for each square the line goes down .25  That is how I found the y intercept.

In conclusion Y= -0.25x -1.75

g In cross-tabulation, one of the tests used to evaluate the statistical association between two categorical or ordinal variables is called: The Chi-square test of independence The product-moment correlation coefficient The test of mean equality for independent samples The parametric test of dependence

Answers

Answer:

The Chi-square test of independence

Step-by-step explanation:

The answer to this question is the Chi-square test of independence because it is what is used to determine the existence of an association between nominal/categorical variables. This test is non parametric in nature and it can also be called the chi square test of association.

The data is tabulated. each row is a representation of the category for one of the variables and each column is for the other variable.

Which of the following statements are true? Select all that apply.
A triangle is shown.

Answers

Answer: All except b are true

Explanation:

Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?

Answers

Answer:

$9.13

Step-by-step explanation:

mark can cleaN the house in 7 hours. when he cleans the same house with wend, it takes them 3 hours to clean the house. how long would it rake wendy to clean the house by herself

Answers

Answer:5.25

Step-by-step explanation:

3(1/7 + 1/x) = 1

3([x + 7]/7x) = 1

3x + 21 = 7x

4x = 21

x = 21/4 OR 5.25

It will take wendy 5.25hrs to clean the house by herself.

Let x be the time taken by mark to clean the house by herselfLet y be the time taken by wend to clean the house by herselfLet a be the time it took the two to clean the house together.

In order to get the time it take wendy to clean the house by herself, we will use the expression:

1/a = 1/x + 1/y

1/3 = 1/7 + 1/y

1/y = 1/3 - 1/7

1/y = 7-3/21

1/y = 4/21

y =  21/4

y =  5.25hrs

Hence it will take wendy 5.25hrs to clean the house by herself.

Learn more on fractions here: https://brainly.com/question/5474474

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