A restaurant customer left $3.50 as a tip. The tax on the meal was 7% and the tip was 20% of the cost including tax.

Answer:

A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.

The question says to the nearest inch. Therefore we have to approximate to to a whole number.

7.5, when rounded up to the nearest number, is 8 inches.

Hence, the answer is 8 inches or 19 centinmeters.

Cheers

Answer:

B

Step-by-step explanation:

A story about someone's life, written by that person.

Good luck with the rest!

Answer:

Option B, A story about a person's life, written by that person

Step-by-step explanation:

We can take Autobiography, the term auto refers to by one's self, therefore autobiography would mean a story written by a person about them selves.

Hope this helps!

Answer:

51

Step-by-step explanation:

Parenthesis exponents multiplication division addition subtraction

(8+5x9)-2

(8+45)-2

53-2

51

Answer:

(x+9) (x+4)

Step-by-step explanation:

x²+13x+36

x²+9x+4x+36

x(x+9) +4(x+9)

(x+4) (x+9)

Answer:

Undefined

Step-by-step explanation:

A vertical line doesn't have a slope since it doesn't run horizontally.

Answer:

0

Step-by-step explanation:

a straight line doesn't have a slope

Answer:

5 x 4 = 20, 20 divided by 2 ( x 1/2 ) = 10

Step-by-step explanation:

Formula area of a Triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Answer:

12.57

Step-by-step explanation:

We need to find of area of a circle and the formula for that is pie * radius ^2.

Pie * 2 squared = 12.57 rounded to the nearest hundredth

Answer:

D. SSA

Step-by-step explanation:

The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.

Answer:

The value of x = 33 units (Approx.)

Step-by-step explanation:

Given triangle is a right angle triangle;

So,

Base of triangle = 18 unit

Angle with base = 57°

Find:

The value of x

Computation:

Using trigonometry function;

Cosθ = Base of triangle  / Hypotenuse triangle

Cos57 = 18 / x

0.544 = 18 / x

The value of x = 18 / 0.544

The value of x = 33.088

The value of x = 33 units (Approx.)

Answer:

18 inches

Step-by-step explanation:

Given

[tex]r = 15in[/tex] --- radius

[tex]h = 12in[/tex] --- distance between chord and the center of the circle

Required

The chord length

See attachment for illustration

First, calculate distance AX using Pythagoras theorem.

[tex]AO^2 = AX^2 + OX^2[/tex]

This gives:

[tex]15^2 = AX^2 + 12^2[/tex]

[tex]225 = AX^2 + 144[/tex]

Collect like terms

[tex]AX^2 = 225 - 144[/tex]

[tex]AX^2 = 81[/tex]

Take square roots of both sides

[tex]AX = 9[/tex]

AB is then calculated as:

[tex]AB= AX + XB[/tex]

Where:

[tex]AX=XB =9[/tex]

So:

[tex]AB = 9 + 9[/tex]

[tex]AB = 18[/tex]

Answer:

-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]\large\fbox{\green{\underline{x = 5}}}[/tex]

Step-by-step explanation:

90 - 7x = 11 x

90 = 11x + 7x

90 = 18 x

90 / 18 = x

x = 5

Answer:

area of the circle,

radius=10m

diameter=20m

πr²

3.14×100

314m²

area of the triangle=1/2×20×10

=100

area of the shaded area=314-100=214 m²

the answer is option H

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

C. 10 = 2.5 + 0.5x

Step-by-step explanation:

A. 0.5x + 2.5 = 10

B. 0.5 – 2.5 = 10x

C. 10 = 2.5 + 0.5x

D. 2.5x + 0.5 = 10

E. 2.5x – 0.5 = 10

Total distance Hector covers = 10 km

Distance he has covered = 2.5 km

Distance he covers per week = 0.5 km

Let

x = number of weeks

The equation is given by

2.5 + 0.5x = 10

It can also be written as:

10 = 2.5 + 0.5x

10 - 2.5 = 0.5x

7.5 = 0.5x

x = 7.5/0.5

x = 15 weeks

Answer:

A and C

0.5x + 2.5 = 10

10 = 2.5 + 0.5x

Step-by-step explanation:

hope this helps!

Answer:

PR = 2*36 = 72

SU = (1/2)54 = 27

RS = 36

Step-by-step explanation:

By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,

Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

Answer:

25

Step-by-step explanation:

The three sides of a triangle are 2x+4, 5x+2, and 4x-3.

The sum is the perimeter

P = 2x+4+ 5x+2+ 4x-3

Combine like terms

P = 11x +3

Let x =2

P = 11*2 +3

P = 22+3

P =25

Answer:

25

Step-by-step explanation:

Side 1: 2x+4         Side 2: 5x+2    Side 3: 4x-3

Substitute-

2(2)+4         5(2)+2        4(2)-3

Multiply-

4+4          10+2           8-3

Combine Terms-

16   +         12     +        5

=25

Answer:

Results are below.

Step-by-step explanation:

It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.

First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= 500

Interest rate (i)= 0.11/12= 0.0092

Number of months (n)= (26 - 19)*12= 84

FV= {500*[(1.0092^84) - 1]} / 0.0092

FV= $62,944.74

Now, the future value of the investment of Ben at age 65:

FV= PV*(1 + i)^n

n= (65 - 26)*12= 468 months

FV= 62,944.74*(1.0092^468)

FV= $4,574,131.31

Finally, the future value of the investment for Arthur:

i= 0.0092

n= (65 - 27)*12= 456

A= 500

FV= {500*[(1.0092^456) - 1]} / 0.0092

FV= $3,484,032.07

Answer:

relationships between side lengths and angles of triangles

Step-by-step explanation:

Answer:

Study of the angles and triangles

Step-by-step explanation:

Answer:

Step-by-step explanation:

The line crosses with y-axis when x = 0:

The y-intercept is the required point and its coordinates are (0, 7)

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

Answer:

143

Step-by-step explanation:

Your equation to find x is:

140+146/2 = 143

Answer:

x = 120-95

Step-by-step explanation:

The correct equation for the expression is:

∠AFC = ∠AFB+ ∠BFC

Given that

∠AFC = 120°

∠BFC = 95°

Substitute

120= ∠AFB+95

∠AFB = 120-95

If ∠AFB = x

The required equation will be:

x = 120-95

Answer:

2/5% is .004 as a decimal and 1/250 as a fraction

Step-by-step explanation:

2/5% is .4% which is .004 as a decimal

2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250

Respuesta:

0,114 m³

Explicación:

El volumen del cohete será igual a la suma de los volumenes del cilindro y del cono

Volumen del cilindro

El cilindro tiene un radio (r) de 0,25 m y una altura (h) de 0,5 m. Podemos encontrar su volumen usando la siguiente formula.

Vcil = π × r² × h

Vcil = π × (0,25 m)² × 0,5 m = 0,098 m³

Volumen del cono

El cono tiene un radio (r) de 0,25 m y una altura (h) de 0,25 m (la mitad de 0,5 m). Podemos encontrar su volumen usando la siguiente formula.

Vcono = 1/3 × π × r² × h

Vcono = 1/3 × π × (0,25 m)² × 0,25 m = 0,016 m³

Volumen del cohete

Vcohete = Vcil + Vcono = 0,098 m³ + 0,016 m³ = 0,114 m³