Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100, how much in total did he pay?

What you're looking at in this image are two alternate exterior angles.

Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.

There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.

So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:

5x + 20 = 3x + 60

Subtract 20 from both sides:

5x + 20 - 20 = 3x + 60 - 20

5x = 3x + 40

Subtract 3x from both sides:

5x - 3x = 3x - 3x + 40

2x = 40

x = 20

If you have any questions on how I got to the answer, just ask!

- breezyツ

Answer:

x = +3

Step-by-step explanation:

4x² = 36

sqareroot both side we get,

√4x² = √36

2x = 6

x = 6/2

x = +3

Thus, The answer is +3

-TheUnknownScientist

Answer:

4x^2 = 36

________ x^2 = 9. square root of 9

4. = 4. x = 3

Step-by-step explanation:

Divide both sides by 4 to isolate the square root.

So, you will end up with x^2 = 9

then take the square root of 9,

square root of 9 is 3.

So x = 3

Answer:

I don't know if this is all correct, but I tried

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

0.4m < 120                        Divide by 0.4

m < 120/ 0.4

m < 300  

Answer

so she should drive less than 300 miles.

Answer:

D. g(x) = [tex]\frac{1}{4}x^{2}[/tex]

Step-by-step explanation:

The correct formula for g(x) is the following

g(x) = [tex]\frac{1}{4}x^{2}[/tex]

when dealing with the square of a variable, the lower the number that you multiply it by, the wider the parabola will be. In this case multiplying f(x) by 1/4 would give us the parabola that passes by point (2, 1). We can prove this by substituting 2 for x like so...

g(2) = [tex]\frac{1}{4} * 2^{2}[/tex]

g(2) = [tex]\frac{1}{4} * 4[/tex]

g(2) = 1

Answer:

its B

Step-by-step explanation:

please like my answer . brainliest please

Answer:

8 is $230

Step-by-step explanation:because there is a fee of $55 and $25 a week, the $55 is a one time charge and then $25 times 7 weeks is $175 then $55+$75 is $230

Answer:

The correct value of the Z-statistic is z = -1.56

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.08[/tex]

A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.

This means that the alternate hypothesis is:

[tex]H_{a}: p < 0.08[/tex]

z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.08 is tested at the null hypothesis:

This means that [tex]\mu = 0.08, \sigma = \sqrt{0.08*0.92}[/tex]

After training was implemented, a sample of 450 chips revealed only 27 defects.

This means that [tex]n = 450, X = \frac{27}{450} = 0.06[/tex]

The correct value of the Z-statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}[/tex]

[tex]z = -1.56[/tex]

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

Answer:

1/9

Step-by-step explanation:

(-3)^0 = 1

(-3)^2 = 9

so, 1/9

Answer:

x = 2√10  =   6.325

Step-by-step explanation:

a² +b² = c²      a = 6     b = 2    c = x

c = √(a² +b²)

c = √(6² +2²)

c = √(36 +4)

c = √(40)

c = 2√10        

Answer:

MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien

The  sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given sequence of transformations is:

T(–2, 4) - translation by (-2, 4)

ry-axis - reflection across the y-axis

ry-axis - reflection across the y-axis

T(2, –4) - translation by (2, -4)

We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:

T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).

ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).

ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).

T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).

The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".

Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".

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Answer:

The inverse is  

y =  1 /3 x  −  2 /3

Step-by-step explanation:

Answer:

text or video calls

Step-by-step explanation:

Answer: Employers value employees who can communicate effectively;

Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.

Answer:

1/8

Step-by-step explanation:

its easy just count backwards by 2/8 each time

Answer: 10 cups of flour

Step-by-step explanation:

15 1/2 cups of flour = 7 1/2 cups

7 1/2 ÷ 3 = 2 1/2

So, it takes 2 1/2 cups of flour to make one loaf of bread

If you want to make 4 loaves of bread, you multiply 2 1/2 × 4

2 1/2 × 4 = 10

It will take 10 cups of flour to make 4 loaves of bread.

Answer:

Im pretty sure the answer would be 6

Step-by-step explanation:

Just take 42 and divide by 7 to get x

Answer:

did you finish this already

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

Answer:

Step-by-step explanation:

4x + 7y - 3x - y

Move like terms next to each other.

4x - 3x + 7y - y

Subtract them

4x-3x= 1x or x

7y-y = 6y

So we have:

x + 6y

Answer:

x = 10

Step-by-step explanation:

Measure of the angle with it's vertex inside a circle = ½(sum of intercepted arcs)

Thus,

m<E = ½(HL + GF)

Substitute

60 = ½(55 + 5x + 15)

Multiply both sides by 2

2(60) = 55 + 5x + 15

120 = 5x + 70

120 - 70 = 5x

50 = 5x

50/5 = x

10 = x

x = 10

Answer:

2b+8 is the simplify expression

Answer:

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

__________________________

another way

b + 4 + 4 + b=

= +b +b +4 +4

= 2b + 8

= b = [tex]\frac{8}{2} \\\\[/tex]

= b= 4

Ans: b= 4

Answer:

The volume of the cone would be 2513.27 cubic feet.

Answer:

I believe it would be 63 because the phone costs 90 dollars originally but with the discount being 30% (90 multiply 0.3) and you get $27. However then you gotta then subtract (90-27) to get 63.

Answer:

Decreasing because the line is going down meaning it is decreae

Answer:

e

Step-by-step explanation:

Answer

C

Step-by-step explanation:

76+104 is 180

Answer:

Step-by-step explanation:

Kwowvskdjshsns

If you think about I would suggest B only because it makes more sense but I might be wrong..

Hope this helped a little!

The solution is Option A.

The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The initial length of the baby fish is b = 1.5 cm

The baby fish grew at a rate of 0.25 centimeter per week

So , the slope of the line m = 0.25 cm

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 0.25x + 1.5   be equation (1)

Hence , the equation of line is y = 0.25x + 1.5

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Answer:

That is what happens to me, I am asking a question right now and like people say like "Sorry don't want to be mean but no one wants to do it" so I am really not sure.

Step-by-step explanation: