A car travels 72 miles on 6 gallons of gas. At that rate, how much gas will it need to travel 204 miles?

Answer:

-15

Step-by-step explanation:

-6x = 90

x = 90 ÷ -6

x = -15

Answer:

X = -15

Step-by-step explanation:

90/-6 is equal to -15.

You divide the number from the side with the variable from the other side of the = sign.

Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Step-by-step explanation :

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:

Curved surface area of cylinder = [tex]2\pi r\times h[/tex]

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]

Now putting all the given values in above formula, we get:

Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]

Curved surface area of cylinder = [tex]3520cm^2[/tex]

Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Given:

Diameter of a solid cylinder = 8cm

Length (height) of cylinder = 140 cm

To find:

The curved surface area of the cylinder.

Solution:

We have,

Diameter = 8cm

Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]

Height = 140 cm

Curved surface area of a cylinder is

[tex]CSA=2\pi rh[/tex]

where, r is radius and h is height.

Putting r=4 and h=140 in the above formula, we get

[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]

[tex]CSA=2\times 22\times 4\times 20[/tex]

[tex]CSA=3520[/tex]

Therefore, the curved surface area of the cylinder is 3520 square cm.

Question:

Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip

Answer:

88 - 2.50x

Step-by-step explanation:

Given :

Initial charge = 12

Charge per kilometer = 2.50

Amount given to driver = 100

Let distance from home to airport = x

Total charge = (initial charge + (distance * charge per km)

Total charge = 12 + 2.50x

Change = (Amount given to driver - total charge)

Change = (100 - (12 + 2.50x))

100 - 12 - 2.50x

88 - 2.50x

Answer: 15-oz for 2.25

3.20÷20= 0.16

1.70÷10= 0.17

2.25÷15= 0.15

2.72÷16= 0.17

I hope this helps:

Answer:

55

Step-by-step explanation:

Answer: D.)

Step-by-step explanation:

40*5=200, This is Brians total $'s

1,300-200=1,100, This is Rebeccas total $'s

1,100/20= 55, This is the total hours worked.

Answer:

4x³ - 6x² - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(-3x - 2 + 4x³) + (3x - 6x² - 6)

Step 2: Simplify

Answer:

Thanks for free points have a nice day :)

Answer:

Sin F = 0.6

Step-by-step explanation:

From triangle ABC, applying Pythagoras theorem to determine the length AB;

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]

[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]

400 = 256 + [tex]/AB/^{2}[/tex]

[tex]/AB/^{2}[/tex] = 400 - 256

           = 144

AB = [tex]\sqrt{144}[/tex]

     = 12

AB = 12, AC = 20, BC = 16

Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.

Then,

DE = [tex]\frac{1}{3}[/tex]AB =  [tex]\frac{1}{3}[/tex] x 12

     = 4

EF =  [tex]\frac{1}{3}[/tex]BC =  [tex]\frac{1}{3}[/tex] x 16

     = [tex]\frac{16}{3}[/tex]

DF =  [tex]\frac{1}{3}[/tex]AC =  [tex]\frac{1}{3}[/tex] x 20

     = [tex]\frac{20}{3}[/tex]

Then, applying trigonometric function to ΔDEF, we have;

Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{DE}{DF}[/tex]

        = 4 ÷ [tex]\frac{20}{3}[/tex]

        = 4 x [tex]\frac{3}{20}[/tex]

        = [tex]\frac{3}{5}[/tex]

Sin F = 0.6

Answer:

17/33

Step-by-step explanation:

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

Learn more about fractions here:

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Answer:

negative three

Step-by-step explanation:

i don't get what your asking for.

Answer:

Coefficient Is the small 2

Answer:

no association because there is no specific pattern

Answer:

17) x=8

18) [tex]x=\sqrt{189}[/tex] or [tex]x= 3\sqrt{21}[/tex]

Step-by-step explanation:

So the rule is [tex]a^{2} +b^{2} =c^{2}[/tex], "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

                                               [tex]x^{2} +x^{2} =(8\sqrt{2}) ^{2}[/tex]

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

simplify (╥︣﹏╥)    

                                                [tex]2x^2=8^2(\sqrt{2} )^{2}[/tex]  

                                                  [tex]2x^2=64(2)[/tex]

                                                   [tex]2x^2=128[/tex]    

                                                  [tex]x^{2}= 128/2[/tex]  

                                                     [tex]x^{2} =64[/tex]

                                                        x=8      

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

                                                    [tex]c^{2} - b^{2} = a^{2}[/tex]

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

                                                   [tex]15^{2} -6^{2} =x^{2}[/tex]

                                                   [tex]225-36=x^{2}[/tex]  

                                                     [tex]x^{2} =189[/tex]

                                               [tex]x=\sqrt{189}=3\sqrt{21}[/tex]

        The more you do these, the easier they'll get, so don't worry!

The simplified form of the given expression is 0.2x-1.5y.

The given expression is 4.2(2x-0.5y)-2(4.1x-0.3y).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows

4.2(2x-0.5y)-2(4.1x-0.3y)

= 8.4x-2.1y-8.2x+0.6y

=  8.4x- 8.2x-2.1y+0.6y

= 0.2x-1.5y

Therefore, the simplified form of the given expression is 0.2x-1.5y.

To learn more about an expression visit;

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Answer:

4 dozen.

Step-by-step explanation:

Total number of eggs required =2*24 = 48

One dozen = 12 so the answer is 4 dozen eggs.

Answer:

-x + 11

Step-by-step explanation:

Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3.  Combine the two like terms together to get the final answer which is -x + 11.

Answer:

35/1

Step-by-step explanation:

slope = rate of change

dollar amount changed by 105 while acreage changed by 3

105/3 reduced to 35/1

Answer:

pretty sure it's .833

Step-by-step explanation:

Answer:

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the function

2x+5y=15

converting the equation into the slope-intercept form

5y = -2x + 15

divide both sides by 5

y = -2/5x + 3

Thus,

The slope of the line is: m =  -2/5

The y-intercept of the line: b = 3

In other words, the ordered pair (0, 3) represents the y-intercept.

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Answer:

1 4/15 balls

Step-by-step explanation:

From the question, we are told that:

Chase caught 2/3 of the balls hit to left field.

Ryan caught 3/5 of the balls hit to right field.

The Lowest common denominator for both fraction is given as 15

Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15

For Chase:

We Multiply both numerator and Denominator by 5

2 × 5 /3 × 5 = 10/15

2/5 = 10/15

For Ryan

We Multiply both numerator and Denominator by 3

3 × 3 /5 × 3 = 9/15

3/5 = 9/15

The total amount of the balls they both caught is:

10/15 + 9/15

= 19/15 = 1 4/15

Answer:

4. b

5. c

6. d

7. c

8. d

Step-by-step explanation:

4. 1/5x-5=2

1/5x=7

x=35

5. 56= 4x+12

44=4x

11=x

6, 7. x+(x+1)+(x+2)=whatever

add the numbers you are provided and find the correct answer

8. the same thing as 6,7 but the formula is x+(x+2)+(x+4)+(x+6)

Answer:

the first box is 7, the second would be -10, but since it already has ‘x -‘, just put 10

Step-by-step explanation:

Answer:

all real numbers greater than or equal to -3

Step-by-step explanation:

Range:  output values of a function (y-values)

Given function:

[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]

This is an absolute value function so |x| ≥ 0

Therefore, as |x| ≥ 0:

[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]

[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]

So the range of the given function is [-3, ∞):

all real numbers greater than or equal to -3

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n represent the number of sides of the regular polygon.

Question 18:

Pentagon = 5 sides,

Exterior angle = 360°/5 = 72°.

Question 19:

Exterior angle = 360°/36 = 10°.

Answer:

1) AB

2) BC

3) AC

ABC

4) PA and OH

5) SO and CP

6) CA and SH

hope you can get to bed soon!

Answer:

the last option is the right answer

Step-by-step explanation:

last week:

d = 18

d = 18h = 6

this week:

d = 2.5h

i. if she walked for 6 hours this week, h = 6

d = 2.5h

d = 2.5 × 6

d = 15

* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week

ii. if she walked for 18 miles this week, d = 18

d = 2.5h

18 = 2.5h

h = 18/ 2.5

h = 7.2

* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week