Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

If y is the total cost, then this would be correct.


Related Questions

Find the volume of a cylinder with the height 25cm and radius 5cm

Answers

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?

Answers

Answer:

49.2 hours

Step-by-step explanation:

Use a chart or calculator to find the z-score associated with the probability.

P(Z < z) = 0.03

z = -1.88

Now find the x value.

z = (x − μ) / σ

-1.88 = (x − 61) / 6.3

x = 49.2

Answer the question marks, and tell me what sequence number 8 is.

Answers

Answer:

f[1] = 60; f[n+1] = f[n] -30f[n] = 60 -30(n-1)

Step-by-step explanation:

You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.

Recursive equation

  f[1] = 60; f[n+1] = f[n] -30

__

Explicit equation

The general form of the explicit equation is ...

  f(n) = f(1) +d(n -1)

Here, we have f(1) = 60 and d = -30, so your equation is ...

  f(n) = 60 -30(n -1)

A rectangular lawn has a width of 3 1/2 yards. The length of the lawn is 2 yards. What is the area

Answers

Answer:

7 yards

Step-by-step explanation:

Multiply length and width wen finding the area so 3 1/2 time 2

Answer:

7 yards

Step-by-step explanation:

Area= LxW

3 1/2 x 2=7

By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}

Answers

To find the range, subtract the smallest from the biggest number.

The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.

To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.

Without the outlier: 39

With the outlier: 190

Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.

The answer is 151.

THEREFORE, The outlier increases the range by 151.

3. If 7 large pizzas are purchased for a party, the amount of pizza each person can have is
inversely proportional to the number of people who come to the party. If 14 people come to
the party, each person can have 6 slices. How many slices can each person have if 21 people
come to the party.

Answers

Answer:

9 slices

Step-by-step explanation:

Set up a proportion:

[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]

Cross multiply and solve for x, the amount of slices if 21 people come:

14x = 126

x = 9

So, each person can have 9 slices

urgent answer fast"""""""​

Answers

Answer:

the fifth number is 11

Step-by-step explanation:

8,11,13 and 17, x

the mean is =12  ( which means the sum of the terms divided by the numbers of terms )

to find the mean :

(8+11+13+17+x)/5 =12

5*12=49+x

60-49=x

x=11

4.5 = m +2.75
what is the answer?

Answers

Answer:

m=1.75

Step-by-step explanation:

4.5 = m+2.75Subtract 2.75 on both sides of the equationm = 1.75

The standard unit for length is the ____. yard meter foot milliter please help its due in 6 mins!!!

Answers

Answer:

Meter

Step-by-step explanation:

The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).

pls help math 15 points

Answers

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

7+3*5-4*2 what is the answer

Answers

Answer:

[tex]\boxed{14}[/tex]

Step-by-step explanation:

→ Remember multiplication occurs first

[tex]7+3*5-4*2=7+15-8[/tex]

→ Simplify the remaining expression

[tex]7+15-8=22-8=14[/tex]

Find the coordinates of n if n is exactly halfway between m (-10,-13) and d (-7,-7)

Answers

I think it’s Midpoint is (xM, yM) = (-8.5, -10) but I might be wrong but this is what I got.

Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

If you run a 10 km race in 43 minutes 30 seconds, what is your average time per mile? What is your average speed in mph? Hint: there are 1.61 km in a mile.

Answers

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

F(x)=-2x -3 and g(x)=x^2 +5x,find g(2)-f(3)

Answers

Answer:

f(3)= -9, g(2)=4

Step-by-step explanation:

F(3)= -2(3) -3

F(3)= -6 -3

F(3)= -9

G(2)= 2^2

G(2)= 2×2

G(2)= 4

Find the perimeter of a regular octagon if one of its sides is x + 6 and another side is 14 – x.

Answers

Answer:

  80 units

Step-by-step explanation:

The sides of a regular octagon are all the same length.

  x +6 = 14 -x

  2x = 8 . . . . . . add x-6

  x = 4

  x+6 = 10 . . . . the length of each of the 8 sides

P = 8s = 8(10) = 80

The perimeter of the octagon is 80 units.

Help me please thanks

Answers

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

18/42=X/14 solve the proportion

Answers

Answer:

x = 6

Step-by-step explanation:

18/42=x/14
(Use cross multiplication)
252=42x
(Swap the sides)
42x=252
(Divide both sides of the equation by 42 because we want to get the x alone)
X=6

A hot air balloon descends at a rate of 25 feet per minute. how far will the balloon have descended after 7 minutes

Answers

Answer:

175 feet

Step-by-step explanation:

25ft/min so you just multiply 25 by however many minutes so its 7 so you do 25x7 which is 175 so its 175feet

An open box is constructed of 3500 cm2 of cardboard. The box is a cuboid, with height h cm and square base of side x cm. What is the value of x which maximises the volume of the box? Give your answer in cm correct to 3 significant figures.

Answers

Answer:

this is confusing and my head hurts

Step-by-step explanation:

Simplify the ratio 24/36

Answers

Answer:

2:3

Step-by-step explanation:

24:36

24÷12=2

36÷12=3

Answer=2:3

Answer:

2 : 3

Step-by-step explanation:

24/36 ?

[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]

2/3 = 2 : 3

PLEASE HELPPP!!!
Which statement translates the equation?

8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?

Answers

Answer:

its c

Step-by-step explanation:

Fill in the formula: The sum of the natural numbers from m to n is equal to…

Answers

Answer:

any sum of the form m+n′, either n′ is equal to 0, in which case the first clause applies, and the sum can be evaluated immediately, or n′ is the successor s(n) of some natural number n, in which case the second clause applies, and we can compute the sum in terms of a strictly simpler sum.

Step-by-step explanation:

I hope that helps

What's 2|–9| – |–2|? Question 10 options: A) 20 B) –18 C) 16 D) –20

Answers

Answer:

Step-by-step explanation:

7

I think it would be 16
2 x -9 =-18 and which the absolute value sign would make it positive 18 then 18 - the absolute value of -2. 18-2= 16

not sure if that is the answer tho

The admission fee at an amusement park is 20$ for children and 35$ adults. On a certain, day 264 people entered the park, and the admission fees collected totaled $6780. How many children and how many adults were admitted?

Answers

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!



Construct a line through P that is

perpendicular to the line.

Answers

Answer:

The construct a line through P that is  perpendicular to the line.

Step-by-step explanation:

Given that,

Construct a line through P that is  perpendicular to the line.

We need to construct a perpendicular line P

Using given data

We draw an arc across the line on each side of the point P.

Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.

The  point P to the point where the arcs intersect Q.

Hence, The construct a line through P that is  perpendicular to the line.

The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.

The following steps can be used in order to construct a line through P that is perpendicular to the line:

Step 1 - The equation of a line that passes through point 'P' is given below:

[tex](x-x_1)=m(y-y_1)[/tex]

where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.

Step 2 - So, the slope of the perpendicular line through point 'P' is:

[tex]mm' = -1[/tex]

[tex]m'=-\dfrac{1}{m}[/tex]

Step 3 - So, the equation of the perpendicular line through point 'P' is:

[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]

For more information, refer to the link given below:

https://brainly.com/question/2564656

Simplify
a(2a - 3) + 6(a - 0.5) - (2a^2 - 5)

Answers

Answer:

The answer to your question is 3a+2

Answer:

3a +2

Step-by-step explanation:

a(2a -3) +6(a -0.5) -(2a^2 -5)

rewrite to all show terms and operations:

a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)

distribute:

2a^2 -3a +6a -3 -2a^2 +5

combine like terms:

-3a +6a -3 +5

3a+2

Need help please I will give brainliest

Answers

Answer:

i believe your answer would be 5 and 3, FD

Step-by-step explanation:

factorise completely.
21a²+28ab​

Answers

i think it’s 7a(3a+4b)

The complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.

Given that:

= 21a² + 28ab

here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;

So, we have:

= 7(3a² + 4ab)

= 7a(3a + 4b)

Therefore, the complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Learn more about factorization here:

https://brainly.com/question/14067703?referrer=searchResults

What is 6 times 6? #ifyouknowitquestion!

Answers

Answer:

36

Step-by-step explanation:

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