Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

Answer:

the angle 3x is 42 degrees, the angle 12x-30=138 degrees

Step-by-step explanation:

first, write an equation to represent the problem.

3x+(12x-30)=180

3x+12x=210

15x=210

x=14

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.

Theory

There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.

In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.

Now that we know that we can solve the problem.

Solving

So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.

Since we know this, we can state the following equation:

[tex]3x+12x-30=180[/tex]

We can say this due to the rule of Supplementary angles adding up to 180 degrees.

We can now use Algebra to simplify the equation:

[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]

After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.

[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]

We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.

Cheers!

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

Answer:

Use a converation table and figure out 4/4-1/4 and that would be how much you would add for a new cup of sugar

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

we clearly see, that constant here is -9.

we start with 26.

a1 = 26

a2 = a1 - 9 = 26 - 9 = 17

a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8

so, we see

an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9

a59 = 26 - 58×9 = -496

Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]

[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]

[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]

Finding the value of x at the maximum point, we get;

[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]

Therefore;

[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]

[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]

The length of the plot that will give the most area, y = 125 feet

Learn more here:

https://brainly.com/question/16337916

https://brainly.com/question/16545343

Answer:

31

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

Answer:

1

Step-by-step explanation:

a+b divide c -> [tex]\frac{a+b}{c}[/tex]

Plugging in - > [tex]\frac{2+-3}{-1}[/tex]

Simplifying: [tex]\frac{2-3}{-1}[/tex]

Subtracting: [tex]\frac{-1}{-1}[/tex]

Simplifying: 1

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

Answer:

33/16

Step-by-step explanation:

we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2

ok done. Thank to me :>

Answer:

19.4

Step-by-step explanation:

This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4

Answer:

dots?.............................................................................................................................................................................................................................................................

Step-by-step explanation:

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

Answer:

Its 8.25% I know this because of history of math in my family

Answer:

23.08

Step-by-step explanation:

Answer:

um... okie

Step-by-step explanation:

Answer:

"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."

Step-by-step explanation:

Answer:

b is the answer because I don't know what to do with it and

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Step-by-step explanation:Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Answer:

y = (3/4)x + (3/2)

Step-by-step explanation:

all points on that line

See the steps below:

Answer:

y = 3x-13

Step-by-step explanation:

First find the slope

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

   = ( 11-2)/(8-5)

    = 9/3

    =3

Then using slope intercept form

y= mx+b

Using one of the points and the slope

2 = 3(5) +b

2 = 15 +b

2-15 = b

-13 =b

y = 3x-13

Answer:

About 66 Lb

Step-by-step explanation: