Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and the total was $18.20, what was the price of one hot dog

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

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

where:

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

[tex]m_{2}=-\frac{1}{2}[/tex]

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

Insert information:

[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]

Add 3 to both sides to isolate the variable:

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

:Done

Answer:

6% of 530 is 31.8 hope this is what you ment

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

Answer:

Rules for Calculating the Slope of Line

Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)

Step-by-step explanation:

Answer:

y=12x

Step-by-step explanation:

According to the table

48=12(4) which is true

60=12(5) which is true

96=12(8) which is true

Answer:

12, 60/5 is 12, 48/4 is 12, 96/8 is 12

Answer:

To find the value of x

1. Solve what it is in the parentheses

2. Combine like numbers on each side of the equation if is possible

3. Subtract 12 on both sides of the equation

4. Subtract 3x on both sides of the equation

5. Divide by 6 both sides of the equation

Step-by-step explanation:

9x + 12 =  3(x-8)

9x + 12 = 3x -24

     -12          -12

      9x = 3x -36

     -3x   -3x

      6x = -36

       6        6

        x = -6

The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Since the equation is

9x + 12 = 3(x-8)

So

9x + 12 = 3x -24

6x = -36

x = -6

So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Learn more about an equation here: https://brainly.com/question/17599700

Answer:

10, 8, 6, 4, 2

Step-by-step explanation:

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

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[tex] {k}^{2} + 8k + 22 = 6 [/tex]

Subtract sides 6

[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]

[tex] {k}^{2} + 8k + 16 = 0[/tex]

[tex] ({k + 4})^{2} = 0[/tex]

Thus ;

[tex]k + 4 = 0[/tex]

Subtract sides 4

[tex]k + 4 - 4 = - 4[/tex]

[tex]k = - 4[/tex]

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Answer:

A.

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

(x, y) = (3, 0)

0 = -2/3 (3) + b

0 = -2 + b

b = 2

y = -2/3 x + 2

Answer: A.

Answer:

y = - 2/3 + 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 2/3x + b   Input Slope

Step 3:

0 = - 2/3 ( 3 ) + b       Input x and y

Step 4:

0 = - 2  + b     Multiply

Step 5:

2 = b       Add 2 on both sides

Answer:

y = - 2/3 + 2

Hope This Helps :)

Answer:

Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.

4/5 walls÷5/8 gallons=1.28walls/gallon.

Step-by-step explanation:I hope this helps.  Let me know if anything is unclear.

Answer:

The answer is 15

Step-by-step explanation:

Thats what I got

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

=

-2

1

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

Answer:

See Explanation

Step-by-step explanation:

[tex] In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\

\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\

\therefore BN \cong NC... (1)\\\\

In\: \triangle BMN \:\&\:\triangle CMN\\\\

BM\cong CM\\ (radii \: of \: same \: circle) \\\\

MN\cong MN\\ (common \:side) \\\\

BN \cong NC\\ (from\:1)\\\\

\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\

\therefore \angle B\cong \angle C.. (CACT) [/tex]

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Answer:

$10.40

Step-by-step explanation:

Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.

$130 * 0.08 = $10.40

Answer; c= -d/a + b

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Calculate RS using the distance formula

d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus

RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]

     = [tex]\sqrt{b^2+(c-a)^2}[/tex]

Following are the calculation to the distance of rs:

Given:

Please find the question.

To find:

distance in rs=?

Solution:

Using the formula of distance:

[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

points:

[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]

[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]

Calculate RS distance by using the above formula:

[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"

Learn more about the distance:

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Answer:

4.9878851e+45

Step-by-step explanation:

Answer:

Step-by-step explanation:

$350 -$275= $75 profit

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

x= -3/2

Step-by-step explanation:

y=2x+3 for the slope

move the variable to the left

divide both sides

solution solve

Answer:

ohms

Step-by-step explanation:

Resistance is measured in units called ohms (symbol: Ω).

Resistance is a property of an electrical component that resists the flow of electric current through it.

We have,

Resistance is measured in ohms, which is the unit of electrical resistance. One ohm is the resistance value through which a current of one ampere will flow when a potential difference of one volt is applied across it.

Resistance is an important concept in electrical engineering and physics, as it is a fundamental property of electrical circuits and components.

Thus,

Resistance is measured in units called ohms (symbol: Ω).

Learn more about resistance here:

https://brainly.com/question/22388715

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Slope: -2/3

Y intercept: 5

Equation: y = -(2/3)x + 5

Hope this helped :)

Answer:

x+10-y

Step-by-step explanation:

i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:

alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).