Set up and solve an equation for the following business situation. Pitt's Pit Stop sold $15,934.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 390 more gallons of regular than premium, answer the following questions. (a) How many gallons of each type of gasoline were sold?

Answers

Answer 1

Answer:

2,000

Step-by-step explanation:

it is the opposite of what it really was


Related Questions

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=570(0.98)^x

Answers

Answer:

decay2% decrease

Step-by-step explanation:

The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...

  growth factor = 1 + rate of change

  0.98 = 1 + (-0.02)

So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.

On the njmber line below, the numbers x and y are the same distance from 0. What is x + y? Explain how you found your answer

Answers

Answer:

Step-by-step explanation:

either x+y=0

∵ if they are on number line and at same distance. then x=-y

or x+y=0

PLSSS HELP MARKING BRAINLIST PLSSSS GUYS NO ONE IS GOING TO HELP ME?

Answers

Answer:

top

question 1 is 25

question 2 is 0.2

------------------------------

bottom

question 3 is the second graph

the last question is the first graph

Step-by-step explanation:

So I guess your all set get brainliest

Which expression is equivalent to : (-4x-3y-5)2

Answers

I’m pretty sure that’s a trick question and none of them apply

Given m parallel to I, and m2 7 = 94, find the measure of angle 5
O 10
045
O 97
O 120

Answers

Answer:

97

Step-by-step explanation:

43,761 rounded to the nearest thousands

Answers

Answer:

44,000

Step-by-step explanation:

The number 43,761 rounded to its nearest thousands is 4400.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

43,761

3 is in the thousand place.

So,

We will round 3761 to its nearest thousand value.

There are two options:

3000 or 4000

If It is greater than 3499 it will round to 4000.

If it is less than 3500 it will round to 3000.

Now,

3761 > 3499.

So,

The number is rounded to 4000.

Thus,

43,761 is rounded to 4400.

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

what is. - 3 7/8 × - 4 3/5 help please

Answers

Answer: 1/ 40 x (-155x-184)

Answer:

[tex]:\quad \frac{713}{40}=17\frac{33}{40}[/tex]

Step-by-step explanation:

[tex]-3\frac{7}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{7}{8}=\frac{31}{8}\\-\frac{31}{8}\times \:-4\frac{3}{5}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{3}{5}=\frac{23}{5}\\-\frac{31}{8}\times \:-\frac{23}{5}\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=\frac{31}{8}\times \frac{23}{5}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\[/tex]

[tex]=\frac{31\times \:23}{8\times \:5}\\\\=\frac{713}{40}\\\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\\\quad \frac{713}{40}=17\frac{33}{40}[/tex]

The length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meters, find the dimensions of the rectangle.

Answers

Answer:

Length = 25 meters

Width = 6 meters

Step-by-step explanation:

62 = 2(a+b)

a = 4b + 1

a = length

b = width

then:

62 = 2((4b+1)+b)

62/2 = 4b+b+1

31 = 5b + 1

31 - 1 = 5b

30 = 5b

b = 30/5

b = 6m

a = 4b + 1

a = 4*6 + 1

a = 24 + 1

a = 25m

Check:

62 = 2(6+25)

62 = 2*31

one number is 7 more than twice the other number. if the sum of the two numbers is 19, find the two numbers

Answers

Answer:

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

[tex]a+b=19[/tex]

One number (let's use a) is 7 more than twice the other. Thus:

[tex]a=7+2b[/tex]

Solve for the system of equations. Substitute the second equation into the first:

[tex]a+b=19\\(7+2b)+b=19[/tex]

Subtract 7 from both sides:

[tex]2b+b=12[/tex]

Combine like terms:

[tex]3b=12[/tex]

Divide by 3:

[tex]b=4[/tex]

So, b is 4.

And since they add up to 19, this means that a is:

[tex]a+b=19\\a+4=19\\a=15[/tex]

So our numbers are 4 and 15

And we are done :)

Answer:

the equation is: 2x+7+x=43

the 2 numbers are: 12 and 31.

Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy?

Answers

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline ([tex]C[/tex]), measured in dollars, is given by the following expression:

[tex]C = n\cdot c[/tex]

Where:

[tex]n[/tex] - Amount of gasoline, measured in gallons.

[tex]c[/tex] - Unit cost, measured in dollars per gallon.

Given that [tex]C = \$\,18[/tex] and [tex]c = \$\,2.78\,\frac{1}{gal}[/tex], the amount of gasoline is cleared and calculated:

[tex]n = \frac{C}{c}[/tex]

[tex]n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }[/tex]

[tex]n = 6.474\,gal[/tex]

Cory bought 6.474 gallons of gasolline.

Translate to an algebraic expression. m plus the product of 6 and n​

Answers

The answer is
M + 6n

explain how you can rename 5,400 as hundreds.

Answers

Answer:

The correct answer would be 54 hundreds

Step-by-step explanation:

If we are considering how many hundreds something has, we can simply take away two 0's and use that number.  We take the two 0's off and then we have the right number of hundreds

Answer:

Hey there!

Five-thousand four-hundred can be expressed as fifty-four hundred.

Let me know if this helps :)

Suppose that on each play of a game, a gambler either wins 1 with probability p or loses 1 with probability 1–p (or q). The gambler keeps betting until she or he is either up a total of n or down a total of m. What is the probability the gambler will quit an overall winner? You must consider both cases when p = 0.5 and when p ≠ 0.5

Answers

Answer:

Step-by-step explanation:

From the given information,

Considering both cases when p = 0.5 and when p ≠ 0.5

the probability that the gambler will quit an overall winner is:

[tex]P = \dfrac{1 - (\dfrac{1-p}{p} )^K}{1- (\dfrac{1-p}{p})^N } \ \ \ is \ p \neq 0.5 \ and\ K/N = \dfrac{1}{2}[/tex]

where ;

N.k = n  and k  = m

Hence, the probability changes to:

[tex]P = \dfrac{1 -(\dfrac{1-p}{p})^m}{1 -(\dfrac{1-p}{p})^{m+n}}[/tex] is  p ≠ 0.5   and k/N = [tex]\dfrac{m}{m+n}[/tex]  is P = 0.5

The school paper charges $1.50 for an ad, plus 25 cents per word. Carl wants to spend only $12.00 on the ad.
What is the maximum number of words that can be in his ad?

Answers

Answer:

42 words

Step-by-step explanation:

To solve just solve 0.25x +1.50 = 12.00 for x

$12.00 what Carl wants to spend
-
$ 1.50 for add
————
$10.50 left over

$.25/$10.50=42 words

A triangle has a base of 16 inches and a height of 18 inches. What is its area?

Answers

Answer:

The answer is

144 square inches

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} bh[/tex]

where

b is the base

h is the height

From the question

b = 16 inches

h = 18 inches

Substitute the values into the above formula and solve for the area

That's

[tex]A = \frac{1}{2} \times 16 \times 18 \\ = 8 \times 18 \: \: \: \: \: \: [/tex]

We have the final answer as

144 square inches

Hope this helps you

How many solutions exist for 2 |x - 1| = 8?

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

I believe the correct answer is C.

Step-by-step explanation:

So to get 0 solutions the absolute value would have to equal a negative number. To get 1 solution the absolute value would have to equal 0. To get 2 solutions the absolute value would have to equal a positive number.

2 |x - 1| = 8

divide by 2

|x - 1| = 4

The absolute value equals a positive so it has 2 solutions.

Rachel, Hong, and Manuel have a total of 95 in their wallets. Hong has 3 times what Manuel has. Rachel has $10 more than Manuel. How much does each have?

Answers

Answer:

Rachel has 27

Hong has 51

Manuel has 17

Step-by-step explanation:

Let R represent Rachel, H represent Hong, and M represent Manuel.

They combined have a total of 95. Thus:

[tex]R+H+M=95[/tex]

Hong has 3 times what Manuel has. Therefore:

[tex]H=3M[/tex]

Rachel has 10 more than Manuel. Therefore:

[tex]R=10+M[/tex]

Substitute:

[tex]R+H+M=95\\(10+M)+(3M)+M=95[/tex]

Combine like terms:

[tex]5M+10=95[/tex]

Subtract 10 from both sides:

[tex]5M=85[/tex]

Divide by 5:

[tex]M=17[/tex]

Therefore, Manuel has 17.

Now, find Rachel and Hong's money.

[tex]H=3M\\H=3(17)=51[/tex]

So, Hong has 51.

And for Rachel:

[tex]R=10+M\\R=10+17=27[/tex]

Rachel has 27.

If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.

Answers

Step-by-step explanation:

I'm not sure, but I think just 0

Because no one will even stand there and watch you kill 30 people

The police will come for you and the 1 dead person will be sent away lol



If f(x) = х2 – 2х + 3, thеn find
f(-3).

Answers

Answer:

[tex]\huge\boxed{\sf f(-3) = 18}[/tex]

Step-by-step explanation:

[tex]\sf f(x) = x^2 - 2x + 3[/tex]

Put x = -3

[tex]\sf f(-3) = (-3)^2 -2(-3) + 3\\f(-3) = 9 + 6 + 3\\f(-3) = 18[/tex]

a cylinder container can hold 2.45l of water. it radius is 4.00cm. what is the the volume of it in cm3

Answers

Answer:

Step-by-step explanation:

Ion know

2/9 * 5/6
Multiply. Write the answer as a fraction in simplest form.

Answers

Answer:

5 / 27

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(3,7) and (9,9)

Answers

Answer:

The answer is

[tex]2 \sqrt{10} \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,7) and (9,9)

The distance between them is

[tex]d = \sqrt{ ({3 - 9})^{2} + ({7 - 9})^{2} } \\ = \sqrt{ ({ - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} [/tex]

We have the final answer as

[tex]2 \sqrt{10} \: \: units[/tex]

Hope this helps you

x(2x + 3) + (x - 3)(x - 4)​

Answers

Answer:

3x²-4x+12

Step-by-step explanation:

Answer:

[tex]=3x^2-4x+12[/tex]

Step-by-step explanation:

So we have the expression:

[tex]x(2x+3)+(x-3)(x-4)[/tex]

To simplify, distribute the left side and the right:

[tex]=x(2x)+x(3)+(x-3)(x)+(x-3)(-4)[/tex]

Distribute:

[tex]=(2x^2+3x)+(x^2-3x)+(-4x+12)[/tex]

Combine like terms:

[tex]=(2x^2+x^2)+(3x-3x-4x)+(12)[/tex]

Simplify:

[tex]=3x^2-4x+12[/tex]

in 2016 the average Raleigh driver spent 18 hours in traffic jams, which accounted for 6% of their total driving time. How many hours did the average Raleigh driver spend behind the wheel in 2016

Answers

Answer: 300 hrs

The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Step-by-step explanation:

Given that;

Raleigh driver spent 18 hours in traffic jams

And it accounts for 6% of their total driving time

Now

let total driving time be = x hrs

so

6% of total driving time = 18 hrs

6/100 × x = 18hrs

6x = 1800 hrs

x = 1800/6

x = 300 hrs

∴ The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Evaluate the expression for x = 5 and y = 3.
3x – 4y2
A. 9
B. 27
C. 39
D. 81

Answers

The answer to this problem will be A. Plug in the numbers

find the difference of 5.95 and 4.7

Answers

Answer:

1.25 is your answer.

f(x) = (10/x)^3 what is the value of f(2)?​

Answers

ANSWER

f(2)=(10/2)^3
f(2)=(5)^3
f(2)=125

Goran is sitting in a movie theater, 5 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 18, and the angle of depression from his line of sight to the bottom of the screen is 48. Find the height of the entire screen.

Answers

Answer:

Approximately

Height of screen= 7.1 meters

Step-by-step explanation:

Angle of elevation= 18°

Angle of depression= 58°

Distance of Goran from screen= 5 m

Height of screen from the attachment below

X+y

First let's determine angle a and b

a= 180-90-18

a= 72°

b= 180-90-48

b= 43°

Using sine formula

5/sin a= x/sin 18

5/sin 72= x/sin18

(5*sin 18)/sin 72= x

1.6246 = x

X= 1.6246 m

Y/sin 48= 5/sin b

Y= (5*sin 48)/sin 43

Y= (5*1.08965779)

Y= 5.4483 m

Height of screen= x+y

Height of screen= 1.6246+5.4483

Height of screen= 7.0729

Approximately

Height of screen= 7.1 meters

Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min. interpret the key features for this situation

Answers

Answer:

The key features are

50ft³ = the volume

0.5ft³/min = rate

Time= 100 minutes

Step-by-step explanation:

Chiang is filling a 50ft container with water at a rate of 0.5 ft/ min.

50ft³ = the volume

0.5ft³/min = rate

There is a key future missing which is the time it will take to fill the 50 ft³ container

Time = volume/rate

Time= 50 ft³/0.5ft³/min

Time= 50/0.5 min

Time = 100 min

The key features are

50ft³ = the volume

0.5ft³/min = rate

Time= 100 minutes

ILL GIVE YOU BRAINLIST ! Marlene is given 7 feet of fabric to design a dress. She uses 6 1/9 feet of fabric. How much fabric is left?

Answers

Answer:

This question is a lot easier than it seems. What you have to do here is subtract 6 1/9 from 7.

This will give you 0.8 of the fabric left, or 8/9.

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