A gas station had two pumps. Pump A dispensed 241,752 gallons. Pump B dispensed 113,916 more gallons than Pump A. About how many gallons did both pumps dispense?

Answer:

[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]

[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Answer:

If the pictures are relevant:

Step-by-step explanation:

Measure the sides, or look for the best fit image

Answer:

No answer.

Step-by-step explanation:

- 8m - 12 > -5m + 40 - 3m + 21

combine terms

-8m - 12 > -8m +61

add 8m to both sides

-12 > 61

negative 12 is not greater than 61

Answer:

X=10x =10

means here value of X is 1

y = 4y = 4

means here value of y is also 1

now substitute the values of X and y in the equation

8×1-7×1×(8×1-7×1)

8-7(8-7)

64-49

15

Answer:

Step-by-step explanation:

Factor out the common term 2.

|2(x+4)|-14∣2(x+4)∣−14

Answer:

3rd one

Step-by-step explanation:

Brainliest?

Answer:

Just hit continue.

Step-by-step explanation:

The predicted amount is for the second button only.

Each dollar spent does not always earn the same number of points.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Customers of a certain credit card earn points for using the card.

The table shows the number of points earned for the amount spent.

Now, By the given table which shows the number of points earned for the amount spent.

⇒ Number of points in 4 dollars = 36

Hence, Number of points in 1 dollars = 36/4 = 9

⇒ Number of points in 7 dollars = 56

Hence, Number of points in 1 dollars = 56/7 = 8

⇒ Number of points in 9 dollars = 72

Hence, Number of points in 1 dollars = 72/9 = 8

Thus, We get;

⇒ Each dollar spent does not always earn the same number of points.

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7:  8+（-4）=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷（-6）=-2

11:   -9×（-3）=27

12:  4-（-3）=7

13:  -45÷9=-5

14:   6×（-3）=-18

Answer:

what is it? you did not post the picture

Answer:

x=25

Step-by-step explanation:

Hope it right

Answer:

60/100 divided by 2

Step-by-step explanation:

60%= 60/100

100 divided by 2 is 50

( what you do to the top you do to the bottom)

60 divided by 2 is 30

60/100= 30/50

So the answer is 30

Answer:

C

Step-by-step explanation:

No, because you can not use the same X more than once. It has to pass the vertical line test.  So it'll be option C

Answer:

5

Step-by-step explanation:

55$-17.50=37.5

37.5/7.5=5

Answer:

Domain: (-∞,∞)

Range:(-∞,∞)

Step-by-step explanation:

The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).

A straight line on the coordinate plane is represented by a linear function.

A function that fluctuates linearly with respect to the changing variable is referred to as being linear.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the function,

ƒ(x) = -5x + 4

Range of the function ;

Since the value of the function is defined for all real x and the value will be unique so

Range =  (-∞,∞ ).

The domain of the function ;

Since it is defined for all real x so,

Domain =  (-∞,∞ )

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Answer:

just plug in the x value into the equation and put it in ur calculator

Answer:

0.31

Step-by-step explanation:

Given that :

Total number surveyed = 500

Percentage who are afraid of flying = 31%

Decimal which represents number of people who are afraid of flying :

Converting 31% into decimal form:

31 / 100

= 0.31

Hence 0.31 of the people surveyed were afraid of flying

Answer:

2

2 makes it able to never be solved. If I did this correctly

Answer:

yo d see was gotta at brb to fbh gwuhbytujv

Answer:

5/4

Step-by-step explanation:

1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.2p

Answer:

uno a tres

Step-by-step explanation:

Creo que es correcto

Avísame si estoy equivocado

Y que tengas un feliz día de acción de gracias

Answer:

start with the prostheses first and the -3 and -10 together us

Step-by-step explanation:

Please

excuse

my

dear

ant

sally

Answer:

-26

Step-by-step explanation:

4×2×(-3)+(-10)÷5​

=(8)(−3)+−10/5

=−24+−10/5

=−24+−2

=−26

Answer:

[tex]m=\frac{-9}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (9, 10)

Point (5, 19)

Step 2: Find slope m

Answer:

A. d/2 = r

B. r=65 miles/hour

Step-by-step explanation:

A. d/2 = 2r/2

B. Using the formula you found for R it is

130/2= r, therefore r = 65

The formula for r is:

r = d/2.

The rate r when the distance traveled is 130 miles is:

= 64 miles per hour.

Given,

The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.

We need to:

- Solve the formula for r.

- Find the rate(r) when the distance traveled is 130 miles.

Speed = distance / time

We can find the distance as:

distance = speed x time

We have,

d = 2r where d = distance and r = rate.

Here 2 = 2 hours

The formula for r :

d = 2r

Divide both sides by 2.

d/2 = r

r = d/2

r = distance / 2 hours

The rate at a distance of 130 miles is:

d = 130 miles

r = d / 2

r = 130 / 2 = 65 miles / hour

Thus,

The formula for r is d/2.

The rate r when the distance traveled is 130 miles is 64 miles per hour.

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its a because .25x4=1.00

Answer:

B. 1/4 and 0.0025

Step-by-step explanation:

Answer:

9.6 or round it to 10

Step-by-step explanation:

brainliest pls

Answer:

Equivalent Ratios of 2 : 7

2 : 7    4 : 14    6 : 21    8 : 28    10 : 35    12 : 42    14 : 49    16 : 56    18 : 63    20 : 70    22 : 77    24 : 84    26 : 91    28 : 98    30 : 105    32 : 112    34 : 119    36 : 126    38 : 133    40 : 140    42 : 147    44 : 154    46 : 161    48 : 168    50 : 175 52 : 182    54 : 189    56 : 196    58 : 203    60 : 210

( Brainlyst helps my rank <3 )

===================================================

Explanation:

Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.

Focus on triangle ABE. Let's find the missing angle E.

A+B+E = 180

55+55+E = 180

110+E = 180

E = 180-110

E = 70

So angle BEA = 70 degrees

This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.

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

Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C

D+E+C = 180

34+70+C = 180

104+C = 180

C = 180-104

C = 76

Angle C is 76 degrees

Answer:

hey

Step-by-step explanation:

Answer:

15 weeks

Step-by-step explanation:

Answer:

The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.

x + x + 5 + x - 3 + x + 4 = 100

4x + 5 - 3 + 4 = 100

4x + 6 = 100

4x = 94

x = 94/4

x = 23.5 feet

Answer:

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = 8,000

     1,000

company A = 28,000 + 3,000 (8)

company B = 36,000 + 2,000 (8)