the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal​

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer:

Step-by-step explanation:

Answer:

3 cube root of 15

Step-by-step explanation:

theres your simple radical form

8(152/3) is 405 1/3 in simplest radical form.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

405 1/3 is equivalent to (405*3 + 1)/3 = 1216/3.

To express 1216/3 in simplest radical form, we can first simplify it by dividing both the numerator and denominator by their greatest common factor, which is 8.

1216/3 = (8*152)/3 = 8(152/3)

Now, we can see that 152/3 cannot be simplified any further, so the simplest radical form of 405 1/3 is: 8(152/3)

Learn more about Simplification here:

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Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

3 Years

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

Answer:

  (a)  f(x) = -3x +6

Step-by-step explanation:

Solve for y, then write as a function.

  3y +9x = 18 . . . . . . given

  y +3x = 6 . . . . . . . . divide by 3

  y = -3x +6 . . . . . . . subtract 3x

  f(x) = -3x +6 . . . . . written using function notation

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

Answer:

y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)

Step-by-step explanation:

we do y = (x- sqrt8)(x -sqrt10) and simplify

Answer:

The underline one is 40.

Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.

Step-by-step explanation:

Add 5 rule

Answer:

5. The tens place.

6. 35, 40, 45, 50, 55, 60, 65.... (And so on)

Step-by-step explanation:

Hoped this helped.

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

Answer:

False.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.

Answer:

you would need three wholes because each whole would represent a loaf of pumpkin bread

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

here are the correct answers :)

Answer:

1/5    1   2  

Step-by-step explanation:

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Answer:y=2.5x+5 i thank

Step-by-step explanation:

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

Answer:

Simplifying

6r + r + -5r = 0

Combine like terms: 6r + r = 7r

7r + -5r = 0

Combine like terms: 7r + -5r = 2r

2r = 0

Solving

2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Divide each side by '2'.

r = 0

Simplifying

r = 0

7r-5r < this is the answer

6r+r=7r

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

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[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number

Answer:

I think the answer is c

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

Answer:

The answer is C.

Step-by-step explanation:

Answer:

c

Step-by-step explanation: