A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves

Answer:

[tex]\huge\boxed{a = b-5}[/tex]

Step-by-step explanation:

Let the number be a

So, the given condition is:

a = b-5

Answer:

[tex]\Huge \boxed{a=b-5}[/tex]

Step-by-step explanation:

Let the number be [tex]a[/tex].

[tex]a[/tex] is equal to 5 less than [tex]b[/tex].

5 is subtracted from [tex]b[/tex].

Answer:

Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches

Step-by-step explanation:

The  scale of the tree house plan is given as 1 in. to 2 ft,

Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions

Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;

[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]

[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]

Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.

Answer:

the constant term of the expression represents the difference between Shelly and Terrence points.

Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct

Answer:

181.8yd

Step-by-step explanation:

Answer: Choice B)

The relation is a function because there are no vertical lines that can be drawn on the graph that pass through more than one point.

This graph passes the vertical line test. Any input (x) leads to one and only one output (y). An example of a graph failing the vertical line test would be a graph that is a sideways parabola.

Answer:

option 2.

Step-by-step explanation:

You use the y-intercept form: y=mx+b

mx=slope, and b=y-intercept.

Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.

So now, we can see the only option having the slop -2/3x is option 2.

Answer:

Therefore, perimeter of the given triangle is 18.300 cm.

Step-by-step explanation:

Area of the triangle ABC = [tex]\frac{1}{2}(\text{AB})(\text{BC})(\text{SinB})[/tex]

10 = [tex]\frac{1}{2}(3.2)(8.4)(\text{SinB})[/tex]

Sin(B) = [tex]\frac{10}{3.2\times 4.2}[/tex]

B = [tex]\text{Sin}^{-1}(0.74405)[/tex]

B = 48.08°

By applying Cosine rule in the given triangle,

(AC)² = (AB)² + (BC)²-2(AB)(BC)CosB

(AC)² = (3.2)² + (8.4)² - 2(3.2)(8.4)Cos(48.08)°

(AC)² = 10.24 + 70.56 - 35.9166

(AC)² = 44.88

AC = [tex]\sqrt{44.8833}[/tex]

AC = 6.6995 cm

Perimeter of the ΔABC = m(AB) + m(BC) + m(AC)

                                      = 3.200 + 8.400 + 6.6995

                                      = 18.2995

                                      ≈ 18.300 cm

Therefore, perimeter of the given triangle is 18.300 cm

Answer:

Neither is correct

Answer:

You are right.

Step-by-step explanation:

Neither transformation gives the triangle FGE.

Answer:

Option (B).

Step-by-step explanation:

Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."

Therefore, x = 2 × (65)°

x = 130°

Since, measure of the inscribed angle is half of the measure of the intercepted arc.

Therefore, x = 2y

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

y = [tex]\frac{130}{2}[/tex]

y = 65°

Therefore, Option (B). 65° will be the correct option.

Answer:

??????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

where is Point or picture

Answer:

x = 20

Step-by-step explanation:

Hello!

What we do to one side we have to do to the other

3x/4 - 5 = 10

Add 5 to both sides

3x/4 = 15

Multiply both sides by 4

3x = 60

Divide both sides by 3

x = 20

The answer is x = 20

Hope this helps!

Answer:

20

Step-by-step explanation:

3x/4 - 5 = 10

3x/4      = 10 + 5

3x/4      = 15

3x         = 15 * 4

3x         = 60

x           = 60/3

x           = 20

Answer:

£600

Step-by-step explanation:

1 months= 30 days

here,

money made in 1 day= £20

now,

money made in 30 days= 20×30

= 600

[:• In one month you earn £600]

Answer:560 pounds

Step-by-step explanation:

If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.

So =1 month = 28 days

=1 day = 20 pounds

So= 20 pounds × 28 = 560 pounds

Step-by-step explanation:

If r and h are the radius and height of the cylinder, then its surface area A is given by :

[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)

We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :

[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]

Dividing both sides by [tex]2\pi r[/tex]. So,

[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]

Hence, this is the required solution.

Answer:

box 1 and box2 are correct.

Answer:

y = 0.8x + 10

Step-by-step explanation:

From the given graph,

Graphed line passes through two points (0, 10) and (50, 50)

Let the equation of the given line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Since slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{50-10}{50-0}[/tex]

m = [tex]\frac{4}{5}[/tex] = 0.8

y-intercept of the line 'b' = 10

Therefore, equation of the line of best fit will be,

y = 0.8x + 10

Answer:

Step-by-step explanation

Answer:

x = 58

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended by the same arc, thus

x + 62 = 2(x + 2)

x + 62 = 2x + 4 ( subtract x from both sides )

62 = x + 4 ( subtract 4 from both sides )

58 = x

Answer:

The correct answer is

Step-by-step explanation:

11 square centimeters.

Hope this helps....

Have a nice day!!!!

Answer:

Domain : any real number

Range : y ≥0

Step-by-step explanation:

The domain is the values that x can be

X can be any real number

The range is the values the y can be

Y can be zero or any positive value since y = x^2

Domain : any real number

Range : y ≥0

Answer:

[tex]\boxed{\sf Option \ A}[/tex]

Step-by-step explanation:

[tex]y=x^2[/tex]

[tex]\sf The \ domain \ of \ a \ function \ is \ all \ possible \ values \ for \ x.[/tex]

[tex]\sf There \ are \ no \ restrictions \ on \ the \ value \ of \ x.[/tex]

[tex]\sf The \ domain \ is \ all \ real \ numbers.[/tex]

[tex]\sf The \ range \ of \ a \ function \ is \ all \ possible \ values \ for \ y.[/tex]

[tex]\sf When \ a \ number \ is \ squared \ the \ result \ is \ always \ greater \ than \ or \ equal \ to \ 0.[/tex]

[tex]\sf The \ range \ is \ \{y:y\geq 0\}[/tex]

Answer:

That’s ez pz

Step-by-step explanation:

Answer:

The slope is -3 and the y intercept is -44

Step-by-step explanation:

6X+ 2Y= -88

The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept

Solve for y

6X-6x+ 2Y= -88-6x

2y = -6x-88

Divide by 2

y = -3x -44

The slope is -3 and the y intercept is -44

Answer:

slope = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

Step-by-step explanation:

Slope of a line is given by

where

m is the slope and

( x1 , y1) and (x2 , y2) are the points of the line

Slope of the line between the points

(0,0) and (4,5) is

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

-(1/3 · 1/3 · 1/3 · 1/3 )

Step-by-step explanation:

-(3)^-4= -1/3 ^4 = -1/81

-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81

Answer:

Answer:

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

Step-by-step explanation:

[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex][tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex][tex] = - \frac{1}{81} [/tex]

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

hope this helps you alot

Answer:

Step-by-step explanation:

Solving trig equations are just like solving "regular" equations. Let's get to it. First and foremost we are going to make a "u" substitution. You'll use that all the time in calculus, if you choose to go that route. Let

[tex]sin^2 \theta=u^2[/tex] and sinθ = u. Making the substitution, the equation becomes:

[tex]2u^2-u-1=0[/tex]

That looks like something that can be factored, right? If you throw it into the quadratic formula you get the factors:

(u - 1)(2u + 1) = 0

By the Zero Product Property, either u - 1 = 0 or 2u + 1 = 0, so we will solve those, but not until after we back-substitute!

Putting sinθ back in for u:

sinθ - 1 = 0 so

sinθ = 1 and in the other equation:

2sinθ + 1 = 0 so

2sinθ = -1 and

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

Get out the unit circle and look to where the sinθ has a value of 1. There's only one place in your interval, and it's at 90 degrees.

Now look to where the sinθ has a value of -1/2. There are 2 places within your interval, and those are at 210° and 330°. Now you're done!