A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:

Answers

Answer 1

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29


Related Questions

Can anyone help me please

Answers

Answer:

y = 120

Step-by-step explanation:

y = 4x (corresponding angles)

y + 2x = 180

substitute the value of y into the second equation

4x + 2x = 180

6x = 180

x = 30

now that we have the value of x, plug it into either equation and solve for y

y = 4 (30)

y = 120

write a word problem that can be modeled by the equation x + 5 = 12

Answers

Answer:

x=7

Step-by-step explanation:

x+5=12

 -5  -5

  x=7

It’s x=7 because you have to do 12-5 and that would equal to 7 so 7+5 would equal to 12

Help please someone

Answers

Answer:

60°

Step-by-step explanation:

the relationship between angle RST and its arc TR is:

2m∠(RST)=m(arcTR);

using this formula m∠(RST)=0.5*m(arcTR);

m∠(RST)=60°

Answer:

<S = 60

Step-by-step explanation:

The arc TR and the central angle (T to the center then to R ) are equal.

So the Central angle is 120o

S anywhere on the minor arc is 1/2 the central angle.

<S = 1/2 120

<S = 60

Which graph represents the solution to this inequality? 16x-80x<37+27

Answers

Answer:

The answer for this would be B.

what is the answer to this image

Answers

Answer:

A

Step-by-step explanation:

You are wayyyy to young to be on this site. I mean... 5TH GRADE!!!!

The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine last? Show your solution

Answers

Answer:

14 days

Step-by-step explanation:

14

Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lisa started with $13 and her machine costs $0.50 per game. After how many games will the girls have the same amount of money remaining?​

Answers

Answer:  After they've played 8 games, they will have the same amount of money remaining.

Step-by-step explanation:

Represent the number of games by the variable x and the remaining amount of money by the variable y.  

 Deanna's situation can be represented by the equation   y = 15 - 0.75x  

Lisa's situation can be represented by the equation   y = 13 - 0.50x  

Now to find out how many games they will have the same amount of money remaining, you have to use substitution and solve for x.

15 - 0.75x = 13 - 0.50x

-13               -13

        2 - 0.75x = - 0.50x

             +0.75x      +0.75x

  2 =  0.25x  

 x  = 8  

         

In a class of 32 students, 16 students study Spanish, 14 students are in band, 6 students are in both Spanish and band. What is p(Only Spanish Student)?

Answers

Answer:

Step-by-step explanation:

16 students study spanish, but 6 student that study spanish are also in the band.

16-6=10

So there are 10 students who only study spanish.

AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.

Answers

Answer:

x = 54

Step-by-step explanation:

Since both triangles are similar, therefore,

[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]

[tex] \frac{77}{66} = \frac{63}{x} [/tex]

[tex] \frac{7}{6} = \frac{63}{x} [/tex]

Cross multiply

[tex] 7*x = 63*6 [/tex]

[tex] 7x = 378 [/tex]

Divide both sides by 7

x = 54

WHAT IS 3³ . (12 - 2) ÷ 2?

Answers

Answer:

if the period is a multiplication sign then its 135

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

following the PEMDAS rule, of course

(0,7)(6,-3) find the slope

Answers

Answer:

-5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -3 -7)/(6-0)

   = -10 / 6

   = -5/3

How to convert 2 years 4 months to years

Answers

Answer:

2 1/3 years

Step-by-step explanation:

4 months = 1/3 years

2 + 1/3 = 2 1/3 years

Answer:

2.25 years

Step-by-step explanation:

F(x)=(x-7)^2-64
Please help

Answers

Answer:

x-intercepts/ roots= (-1,0), (15,0)

f(0)= -15 (y-intercept)

Axis of symmetry: x = 7

Vertex: (7, -64)

Domain: All real numbers

Range: [-64, infty)

Please help this question finding a side on a triangle

Answers

Answer:

The side of the hypotenuse is 12.233 centimeters.

Step-by-step explanation:

The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:

[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)

Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.

Then, we clear the variable within (1):

[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]

[tex]x = 13.233\,cm[/tex]

The side of the hypotenuse is 12.233 centimeters.

can someone please help me

Answers

Answer:

AB = 10

CW = 8

angle BAD = 50

angle CDB = 65

angle DWA = 90

angle WCD = 25

Step-by-step explanation:

use the known facts that a rhombus = 360 degrees, pythagorean theorem, etc. if you want a full explanation lmk and i can edit my response

Describe, in words, how the figure at the right was translated.

Answers

Answer:

8 up, 6 left

Step-by-step explanation:

Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.

The graph translated 6 unit left and 8 unit upward.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, A figure "A" that translated at different position in cartesian plane.

Since,  A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.

Thus, we can observe only one point on the figure and calculate the movement of the figure.

Lets focus on the left bottom corner of the figure.

It moves from the coordinates (1, -5) to the coordinates ( -5, 3)

Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis

So, we can say it translated to the lefty by 6 unit.

Same it goes with vertical translation.

Therefore, The graph translated 6 unit left and 8 unit upward.

Learn more about coordinates here:

https://brainly.com/question/20282507

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Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.

Answer:
xy = 10
x · y = 240

Answers

xy = 10

x · y =  240

It is indeed correct on Edge 2021

Answer:

10

240

Step-by-step explanation:

Edge 2021

Find the perimeter of ABHG. Round your answer to the nearest tenth of an inch.

Answers

Answer:

Step-by-step explanation:

WILL MARK BRAINLIEST! Kody’s alarm rings every 11 minutes, and his dad calls upstairs every 15 minutes to wake him up. But Kody will only wake up if his alarm rings and his dad calls him at the same time. If his alarm first rings at 7:00 a.m. and his dad first calls him at 7:05 a.m., at what time will Kody wake up?

Answers

Answer:

10:15

Step-by-step explanation:

what is -11/40 - 0.278 in decimal form
(pls this is due tmr)

Answers

Answer:

-0.553

Step-by-step explanation:

First we convert the fraction into a decimal: -11/40 = -0.275

Then, add both numbers because when you subtract a negative from a positive, you are basicaly adding the numbers.

-0.275- 0. 278= -0.553

Have a great day!

George walks to a friend's house. ​

Answers

Answer:

George is a good friend :)

Step-by-step explanation:

Wow George’s friend is so lucky to have him. George is also getting exercise so A+

A principal of ​$7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded​ semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)

Answers

Answer:

$2,874.19

Step-by-step explanation:

Hope this helps

How many blocks with dimensions of 3x1x1 can fit in a unit cube?
x
1
2
3
Ο Ο Ο Ο
6
9

Answers

Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

1/3 of 5/8 as a fraction

Answers

Answer: how are you doing this tho

Step-by-step explanation:

The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

1/3 of 5/8 as a fraction

Let x be the fraction:

x = 1/3 of 5/8

Or

x = (1/3)(5/8)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After multiplication:

x = 5/24

Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

Learn more about the fraction here:

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1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval

Answers

Step-by-step explanation:

1:the range

2:positive interval

3:increasing interval

4:maximum point

5:domain

6:decreasing intveral

7: negative interval

Answer:

As per the graph we have:

1: the range

[-4, +∞)

2: positive interval

(-∞, 1) ∪ (5, +∞)

3: increasing interval

(3, +∞)

4: maximum point

Undefined

5: domain

x = (-∞, +∞)

6: decreasing interval

(-∞, 3)

7:  negative interval

(1, 5)

Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.

Answers

Answer:

Mean=76

Median=72.5

Step-by-step explanation:

Mean= 70+71+72+73+74+96

                         456/6=76

Median = 70,71,72,73,74,96

               72+73=145/2=72.5

Mean= 76

Median= 72.5

The first step is to rearrange the numbers

70, 71, 72, 73, 74, 96

1. mean= sum of terms/number of terms

= 70+71+72+73+74+96/6

= 456/6

= 76

2. Median can be described as the middle number, the median can be calculated as follows

= 72+73/2

= 145/2

= 72.5

Hence the mean is 76 and the median is 72.5

Please see the link below for more information

https://brainly.com/question/12594842?referrer=searchResults

find the values of x and y

Answers

Answer:

x = 79 y = 22

Step-by-step explanation:

x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22

On a separate sheet of paper practice drawing a 10ft. Vertical line at three different scales using American system:
1) 1/2” = 1’;

2) 1/2” = 1’;

3)1/8” = 1’;

Draw also 12m. Vertical line at three different scales using the Metric System
4) 1/50 CM;

5) 1/100 CM;

6) 1/200 CM;

A street on a block plan is drawn at a scale of 1”=50’. When the drawing is measured with a ruler, the street is 1/2” wide. How wide is the actual street? Explain

Answer:


A street on a block plan is drawn at a scale of 1”=10’. When the drawing is measured with a ruler, the street is 5” wide. How wide is the actual street? Explain

Answer:


In your own words describe the three types of scale answer here:


En una Homs de paper separada, practique el dibujo de una linea vertical de 10 pies a tres escalate diferentes untilizando Sistema Americano:
1/2 “=1’;
1/2 “=1’;
1/8 “=1’;

Dibuja tamben una linea vertical de 12m. A tres escalas diferentes untilizando el Sistema Metrico:
4) 1/50 CM;
5) 1/100 CM;
6) 1/200 CM;

Una Calle en un plano de bloque se dibuja a una escala de 1 “=50 cuando el dibujo se mide con una regal, la calle tiene 1/2 “de ancho qué anchura real tiene la Calle? Explique


Una Calle en un Plano de bloque se dibuja a una escala de 1 “= 10 cuando el dibujo de mide con una regal, la Calle tiene 5 “ de ancho qué anchura real tiene la Calle? Explique


En sus palabras descibe las tres tipos de escala.


Escribe Aqui:
Help me

Answers

Answer:

Step-by-step explanation:ok

A srtuv
B srvut
C vrust
D rsvut

Answers

Answer:

B. srvut

Step-by-step explanation:

To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.

Hope this helps :)

the ratio of the base to the leg of an isosceles triangle is 2:7. if the perimeter of the triangle is 304 feet, find the length of the base ​

Answers

Step-by-step explanation:

I hit a expected tomorrow:No for completion of a

The required base of the isosceles triangle is given as 38 feet.

What is the isosceles triangle?

A triangle with two sides and two congruent angles is called an isosceles triangle.

here,

For a given isosceles triangle,
side/base = 2 / 7
side = 2/7 base = 7 /2 sides

According to the question,
The perimeter of the triangle is 304 feet,
2 side + base = 304
2 [7/2 base] + base = 304
8 base = 304
base= 304 / 8
base = 38 feet

Thus, the required base of the isosceles triangle is given as 38 feet.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591
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