Micah paid $45 for 14.5 gallons of gas. What is the estimated cost of one gallon of gas?

Answer:

907.5 cm

Step-by-step explanation:

Multiply them together but next time use a calculator

Answer: 907.5 cm^3

Step-by-step explanation:

Volume is base*width*height, therefore 22*5.5*7.5 is 907.5

[tex] {x}^{2} + 12x + 6 = 0 \\ D = {12}^{2} - 4 \times 6 = 144 - 24 = 120 = \\ = (2 \sqrt{30} )^{2} \\ x_1= \frac{ - 12 + 2 \sqrt{30} }{2} = - 6 + \sqrt{30} \\ x_2= \frac{ - 12 - 2 \sqrt{30} }{2} = - 6 - \sqrt{30} [/tex]

But i don't see correct answer here

Ox= 6 + V30

Ox= 6+ V30

Ox= 60 V6

Ox= 6 + V6

or maybe i don't understend something

Answer:

100

Step-by-step explanation:

x = 5 × 20 = 100

.........................

Answer:

x = 6

Step-by-step explanation:

Given

x - 2 = [tex]\sqrt{x+10}[/tex]

Square both sides to clear the radical

(x - 2)² = x + 10 ← expand left side using FOIL

x² - 4x + 4 = x + 10 ( subtract x + 10 from both sides )

x² - 5x - 6 = 0 ← in standard form

(x - 6)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 1 = 0 ⇒ x = - 1

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 1 : left side = - 1 - 2 = - 3

right side = [tex]\sqrt{-1+10}[/tex] = [tex]\sqrt{9}[/tex] = 3 ≠ - 3

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

x = 6 : left side = 6 - 2 = 4

right side = [tex]\sqrt{6+10}[/tex] = [tex]\sqrt{16}[/tex] = 4

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

Thus x = 6 is the solution, x = - 1 is an extraneous solution

Answer: FBE

Step-by-step explanation:

EDGE

Answer:

t=10

Step-by-step explanation:

(t+10)+t=t+20,

Combine like terms

2t+10 = t+20

Subtract t from each side

2t-t+10 =t-t+20

t+10 =20

Subtract 10 from each side

t+10-10 = 20-10

t = 10

Answer:

t = 10

Step-by-step explanation:

2t+10 = t+20

-t          -t

__________

t + 10 = 20

   -10   -10

_________

t         = 10

Answer:

You can graph it doing either first, trick question

Step-by-step explanation:

Answer:

The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Please choose brainliest

Given:

The two angles A and B are vertical angles.

The measure of ∠A is x and the measure of ∠B is 5x - 20.

We need to determine the measure of ∠A.

Value of x:

Since, the angles A and B are vertical angles and the vertical angles are always congruent.

Thus, we have;

[tex]\angle A=\angle B[/tex]

Substituting the values, we have;

[tex]x=5x-8 0[/tex]

[tex]0=4x-80[/tex]

Adding both sides of the equation by 80, we have;

[tex]80=4x[/tex]

[tex]20=x[/tex]

Thus, the value of x is 20.

Measure of ∠A:

The measure of ∠A can be determined by substituting x = 20 in the measure of angle A.

Thus, we get;

[tex]\angle A=20^{\circ}[/tex]

Thus, the measure of ∠A is 20°

20th term= 119

Step-by-step explanation:

Let the first term of AP be a

and common difference be d

nth term is given by,

= a+(n-1)d

6th term = 35

a+(6-1)d= 35

a+5d=35 -----------------(i)

13th term = 77

a+12d= 77----------------(ii)

Now, equation (ii) - (i)

a+12d-(a+5d)= 77-35

a+12d-a-5d= 42

7d=42

d=6

Now, from equation (i)

a= 35-5d= 35-5(6)= 35-30 = 5

20th term= a+19d= 5+19(6)= 119

In an arithmetic progression, the difference between any two successive terms is constant. By using this rule and the term numbers and values given, we can determine that the 20th term of the arithmetic progression is 119.

We have two pairs of term number and term value in the arithmetic progression (AP), which are (6, 35) and (13, 77). In an arithmetic progression, the difference between any two successive terms is constant, known as the common difference.

We can calculate the common difference (d) as (77-35)/(13-6) = 42/7 = 6.

Next, we find the first term (a) using the formula for the nth term of an AP, which is a = An - (n-1)*d. Using 6th term values, a = 35 - (6-1)*6 = 5.

Finally, we find the 20th term (A20) using the formula An = a + (n-1)*d. This gives us A20 = 5 + (20-1)*6 = 119.

So, the 20th term of this arithmetic progression is 119.

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Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

Answer:9.7

Step-by-step explanation:

Cos 18= 9.2/X

Cross multiple

Divided each side by 18

9.2/cos18

Answer:

Actually the Answer is B

Step-by-step explanation:

The reason, cause I just chose C and got the answer wrong. Here’s further proof.

Answer: it’s D

Step-by-step explanation: got it wrong and it’s D

Given:

Given that the radius of the semicircle is 4 units.

We need to determine the area of the semicircle.

Area of the semicircle:

The area of the semicircle can be determined using the formula,

[tex]A=\frac{\pi r^2}{2}[/tex]

Substituting π = 3.14 and r = 4, we get;

[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]

Simplifying, we get;

[tex]A=\frac{3.14 \times 16}{2}[/tex]

Multiplying, we get;

[tex]A=\frac{50.24}{2}[/tex]

Dividing, we get;

[tex]A=25.12[/tex]

Thus, the area of the semicircle is 25.12 square units.

Answer:43

Step-by-step explanation:118+15+x=180

x=43

Answer:

Angle F is 47°

Step-by-step explanation:

The measure of all the angles on a triangle is 180°, so you subtract the 2 given angles (A and B) to find the 3rd angle (C). That third angle is equal to the corresponding angle (F) on the similar triangle (DEF).

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17

Answer:

two hundred seventy four thousand seventy-five

Answer: Step-by-step explanation: 274,075 written in words is:

Two Hundred Seventy Four Thousand Seventy-Five

Answer:

Score: 0 - 100

Frequency: 5

Score: 100 - 200

Frequency: 6

Score: 200 - 300

Frequency: 5

Score: 300 - 400

Frequency: 3

Score: 400 - 500

Frequency: 1

Answer:

Step-by-step explanation:

1) 10a - 7a = 3a     {10a & 7a are like terms. So we can subtract}

5a + 2a - 4a = 7a - 4a = 3a        {5a, 2a, 4a are like tems}

So, 10a - 7a and 5a + 2a  - 4a are equivalent expressions

2) 9 - 4y and 4y - 9 are not equivalent

3)  6 + s means 6 is added to s

  6s means 6 is multiplied by s.

6 + s  and  6s are not equivalent expressions

4)  2c + 6c +9 - c - 4 = 2c + 6c - c + 9 - 4

                                 = 8c - c + 5

                                 = 7c + 5

7c + 5

2c + 6c +9 - c - 4  and 7c + 5 are equivalent expressions

Answer:

-The minimum of the function is 9

-The axis of symmetry of the graph is x=0

Step-by-step explanation:

Answer: fewer

Step-by-step explanation: The data has a positive trend, then a negative. And using common sense, since when do people go to the pool in December unless indoors, even then it is rare. Some questions require common sense too BTW.

Answer:

8

Step-by-step explanation:

I know its 8 because of using PEMDAS

well first in the equation you can divide and add so in PEMDAS diving comes before adding so 12/2=6 and 2+6=8

Answer:

a.) Let the total number be : x

∴(73.7÷x) ×100 = 55%

∴x= (73.7×100) ÷ 55

=> 7370÷55

∴x=134

Thus, Option-A.

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

b.) Let the percentage  be : x

∴x= (46÷65) ×100  

∴x= (0.707) × 100

∴x=70.7%

Thus, Option-B.

MARK AS BRAINLIEST.

Answer:

The answer is 252 square inches

Answer:

answers below

Step-by-step explanation:

1. no

2. yes

3. no

4. yes

5. no

6. yes

7. no

8. no

9. no

10. no

11. no

12. yes

Answer:

Below.

Step-by-step explanation:

1. No because there is a one-to-many relation in the diagram ( 8 maps to 3 and also to 4.

2. Yes. It is a one-to-one mapping.

3. Yes. It consists of on-to-one and many to one mapping.

4. No. Because it fails the vertical line test.

5. No.  As number 4.

6. Yes . this passes the vertical line test.

7.  Yes.

8.  No.   Input 1 maps to output 4 and output 7.

9.  Yes.

10. No. Because of the (3, 7) and the  (3, 6).

11.  No , because 1 maps to 8, 2 and 7.

12. Yes.

[tex]V = \pi r^{2} \times h[/tex]

[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]

[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]

Answer: V=1,329.8

Answer:

Step-by-step explanation:

Given

diameter (d) = 11 cm

Height(h) = 14 cm

first calculating the radius

radius = d/2 = 11/2 = 5.5 cm

Now

Volume of the cylinder

=[tex]\pi r^{2}h[/tex]

= 3.14 * (5.5)^2 * 14

= 1329.8 cm^3

Hope it will help

Answer:

B

Step-by-step explanation:

[tex]x_0 = \frac{ - b}{2a} = 0 \\ y_0 = {0}^{2} + 3 = 3[/tex]

The length of the zipline for the building which you are looking at needed to be 154.01 feet.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

Given the situation making a right-angle triangle with an angle of 37° and a base is 123 feet.

By trigonometric function

cos37° = 123/zipline

zipline = 123/cos37°

zipline = 154.01 feet

Hence, the zipline which is needed is 154.01 feet.

For more information about the trigonometric function,

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Step-by-step explanation:

[tex]{x}^{2} + 4x - 7 = 0[/tex]

Take -7 to the other side making it +7

Half the coefficient of x and square it

[tex] \frac{1}{2} \times 4 = 2[/tex]

Square the answer

[tex]{2}^{2} = 4[/tex]

Join your answers

[

[tex](x + 2) - 4 = 7[/tex]

Take -4 to the other side making it +4

[tex](x + 2) = 7 + 4 \\

(x + 2) = 11

[/tex]

Square root both sides

[tex] \sqrt{x + 2}= \sqrt{11} [/tex]

[tex]x + 2 = \sqrt{11} [/tex]

Take +2 to the other side

[tex]x = - 2 \ + or - \sqrt{11} [/tex]

[tex]x = - 2 + \sqrt{11} [/tex]

or

[tex]x = - 2 - \sqrt{11} [/tex]

This can be your answering surd form if required or in decimals