Evaluate:

r-9 for r = 20

Answer:

y = 13x

Step-by-step explanation:

First we need to take the number miles the Johnson family drove and divide it to the number of gallons of gasoline used to find how many miles per gallon

Miles per gallon = 52/4

Miles per gallon = 13

Now that we know how many miles per gallon, let's make an equation to find how much they can travel on a full tank of 15 gallons.

Let y = number of miles traveled

Let x = number of gallons

y = 13x

Now let's see how much they can travel in 15 gallons.

y = 13x

y = 13(15)

y = 195 miles

So the Johnson family can drive 195 miles on a full tank of 15 gallons of gasoline.

Answer:

[tex]\large\boxed{m=3}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\--------------------------\\\\\text{We have the slope of the red line}\ m_1=3.\\\\\text{Then the slope of the green line}\ m_2=3[/tex]

Answer:

the top middle and two at the bottom

Answer:

x = -2

Step-by-step explanation:

The formula for the axis of symmetry is;

x = -b/2a

In this case;

b = 4 , a = 1

Therefore;

x = -4/2(1)

  = -2

Thus; the axis of symmetry is x = -2

Answer:

x = -2 is the axis of symmetry.

Step-by-step explanation:

We have given the function:

f(x)=x²+4x-19

We have to find the axis of symmetry.

We know that the formula for axis of symmetry is:

x = -b /2a

In this equation, b = 4 , a = 1

Putting these values we get,

x = -4/2(1)

x = -4/2

x = -2

x = -2 is the axis of symmetry of this function.

Final answer:

To solve the given system of equations using elimination, Heather's first step should be to manipulate the equations so that the coefficients of one of the variables (x or y) are the same in both equations. She can achieve this by multiplying the second equation by 3.

Explanation:

Heather has to solve the system of equations using elimination. The given equations are 3x+6y = 12 and x+5y = 10. The first step in solving these equations using the elimination method should be to manipulate the equations so that the coefficients of one variable are the same or additive inverses.

This allows one to eliminate that variable by adding or subtracting the equations. In this scenario, an efficient approach would be to multiply the second equation by 3, which makes the coefficients of x the same in both equations. Hence, the equations become 3x + 6y = 12 (unchanged) and 3(x + 5y) = 3(10), which simplifies to 3x + 15y = 30. This prepares the equations for the next step in the elimination process, which involves subtracting one equation from the other to eliminate the x variable.

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

[tex](152)_b = 0x6A[/tex]               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

[tex](6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106[/tex]

⇒[tex]0x6A=106[/tex](decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute this in [1] we have;

[tex](152)_b = (152)_8[/tex]

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

Answer:

16*j+4

16+8*4

16+32

48

Step-by-step explanation:

The Y axis, would be when y = 0.

Point B is located on the Y -axis, so the coordinates would be the same.

For A and C the Y coordinate would remain the same and the X coordinate would be  the opposite ( from negative to positive).

A (-4,4) would become (4,4)

B (0,0) would stay the same so would be (0,0)

C (-5,-2) would become (5,-2)

The coordinates after reflection across the y-axis are:

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

Step 1: Identify the original coordinates of the points.

- Point [tex]\( A \)[/tex] is at [tex]\((-4, 4)\).[/tex]

- Point [tex]\( B \)[/tex] is at [tex]\((0, 0)\).[/tex]

- Point [tex]\( C \)[/tex] is at [tex]\((-5, -2)\).[/tex]

Step 2: Apply the reflection across the y-axis.

- Reflecting a point across the y-axis changes the sign of the x-coordinate, while the y-coordinate remains unchanged.

Step 3: Calculate the new coordinates.

For Point [tex]\( A \):[/tex]

- Original coordinates: [tex]\((-4, 4)\)[/tex]

- Reflected coordinates: [tex]\((4, 4)\)[/tex]

 - Negate the x-coordinate: [tex]\(-(-4) = 4\)[/tex]

 - Keep the y-coordinate the same: [tex]\(4\)[/tex]

For Point [tex]\( B \):[/tex]

- Original coordinates: [tex]\((0, 0)\)[/tex]

- Reflected coordinates: [tex]\((0, 0)\)[/tex]

 - Negate the x-coordinate: [tex]\(-0 = 0\)[/tex]

 - Keep the y-coordinate the same: [tex]\(0\)[/tex]

For Point [tex]\( C \):[/tex]

- Original coordinates: [tex]\((-5, -2)\)[/tex]

- Reflected coordinates: [tex]\((5, -2)\)[/tex]

 - Negate the x-coordinate: [tex]\(-(-5) = 5\)[/tex]

 - Keep the y-coordinate the same: [tex]\(-2\)[/tex]

Step 4: Write the coordinates of the reflected points.

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

So, the coordinates after reflection across the y-axis are:

- Point [tex]\( A' \): \((4, 4)\)[/tex]

- Point [tex]\( B' \): \((0, 0)\)[/tex]

- Point [tex]\( C' \): \((5, -2)\)[/tex]

Answer:

FDFDD

Step-by-step explanation:

I think it's 75 if wanting to add up to 180

Do u want me to translate it or what???

Answer:

[tex]\frac{6}{10} = \frac{3}{5}[/tex]

Step-by-step explanation:

You have to divide this by "2"

Answer: 3/5

Step-by-step explanation: 6/10 can be divided by 2 because they are both even numbers then when you can no longer divided them it is simplified

you would take 264+77+150=491in2

The answer is 491in squared

Answer:

The answer is negative nine

Step-by-step explanation:

When it comes to x = ?, divide the ANSWER by the mulitplicand. Example, -4x = 36 can be translated to 36 = -4 TIMES X, which here you have to use your head. Negatives cancel each other and the answer is positive, therefore -4 * -9 = 36.

Your answer would be 6

Answer: B, 70 inches.

Step-by-step explanation:

Let's start slow and go shape by shape.

Based on the information we have, we know that the length for the rectangle is 8 inches by 7 inches. 8*7 = 56, so we have one of the answers.

Next, we do the triangle. Based on the information we have, we know that the triangle is 4 inches by 7 inches divided by 2. 4*7 = 28 [tex]\frac {28}{2} = 14[/tex]

Adding 14 and 56, we got the answer to be B, 70 inches.

Answer:  c. i√2

Step-by-step explanation:

[tex]\dfrac{\sqrt{-12}}{\sqrt6}=\dfrac{\sqrt6\cdot \sqrt{-2}}{\sqrt6}=\sqrt{-2}=\boxed{i\sqrt2}[/tex]

Answer:

15.75 + 15.75= 31.50

31.50- 23.75= 7.75

so 7.75

One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).

Answer:

First shape : 204cm^2

Second shape : 57in^2

Step-by-step explanation:

For the first shape :

The front and back triangles are 3 * 8 / 2 which gives us 12 on each side.

The side rectangles are 5 * 10 which is 50 on each side.

The bottom rectangle is 10 * 8 which is 80.

Add them all up and you get 204.

For the second shape :

The triangles are all congruent and the area is 3 * 8 / 2, so we get 12 on each side.

Then the bottom square is 3^2, which is 9.

Add them all up together and you get 57.

Answer:C.

Its C because 2/5+3/10=7/10.

Answer:

C

Step-by-step explanation:

CCCC!!

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

[tex]4x+2y=222[/tex]

"He paid $213 for two hours skiing and three hours boating":

[tex]2x+3y=213[/tex]

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

[tex]2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51[/tex]

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

[tex]First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30[/tex]

Hence, skiing costs $30 per hour and boating costs $51 per hour.

Answer: =86

Step-by-step explanation:

* Hopefully the picture helps:) Mark me the brainliest:)

∞ 234483279c20∞

After solving the expression, the value get will be equal to 38.33.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data,

28+87 = 115

Then it is divided by 3

115/3 = 38.33

The value obtained is equal to 38.33.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ2

An equal sign.

If there was an equal sign kt would turn into an algebraic equation imstead of an expression.

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

Answer:transitive

Step-by-step explanation:a p e x

Answer:

Sorry, I don't know the answer to the distance, but the MAD is 5.1666666666667, or just 5 rounded to the nearest one.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

30/.5 = 60

60 + 10 = 70

Answer:

hi there your answer is:  A) 70

Step-by-step explanation:

STEP 1 : 30 ÷ 1/2 = 60

Step 2:   60 + 10 = 70

i hope this you out

Have a great evening

FaithRawlins14

Answer:

36

Step-by-step explanation:

Equation:  Schools with foreign language program = 0.30(120 middle schools).

Solution:      "                                                                = 36

36 of these 120 middle schools have a foreign language program.

Answer:

36 schools have a foreign language program

Step-by-step explanation:

Equation: 30/100 *120=x

Solution: 3600/100=x

               36=x

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

2x(x + 3) + (x + 3)

Factor out the common term x + 3

= c: (2x + 1)(x + 3)

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

[tex]\frac{96}{-48}[/tex] = - 2

[tex]\frac{-192}{96}[/tex] = - 2

[tex]\frac{384}{-192}[/tex] = - 2

The common ratio between terms = - 2

Hence the sequence is geometric