What is the value of b?

Answer:

Step-by-step explanation:

Given that:

Tip left = $1.30

Tax = 7%

Tip = 10% of after tax cost

The tax percentage is not needed in calculating the bill after tax and tip

Hence,

Let after tax cost = x

10% of x = 1.30

0.1x = 1.30

x = $13

After tax cost = $13

Hence, the Total bill after tax = $13

Answer:

0

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³

Step 2: Simplify

Answer:

[tex]\boxed {\boxed {\sf 0}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]50x^3-20x+8x-21x^3-3x+15x-29x^3[/tex]

We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.

First, combine all the x³ terms.

[tex](50x^3-21x^3-29x^3)-20x+8x-3x+15x[/tex]

[tex](0x^3)-20x+8x-3x+15x[/tex]

[tex]-20x+8x-3x+15x[/tex]

Next, combine all the remaining terms, because they are all terms with an x.

[tex]-12x-3x+15x[/tex]

[tex]-15x+15x=0[/tex]

The expression is equal to 0

Answer:

(3.5, 9.5)

Step-by-step explanation:

μ=6.5

σ=1

Explicación paso a paso:

Pregunta 1

El contenido total de verduras = 220 g

La masa drenada es de 110 g.

¿Qué fracción representa la masa drenada del contenido total?

= 110/220

= 22/11

La fracción es 11/22

Pregunta 2

¿Qué fracción decimal corresponde a 1/4?

la fracción decimal que corresponde a 1/4 es 0,25

Pregunta 3

¿Cuánto porcentaje está representado por 1/4 o 0,25?

= 0,25 * 100

= 25%

Pregunta 4

¿Cuánto porcentaje del contenido total representa la masa drenada?

= 110/220 * 100

= 11/22 * 100

= 0,5 * 100

= 50%

Answer:

The volume of the resulting cylinder is 385 cm³

Step-by-step explanation:

The formula of the rule of a cylinder is V = π r² h, where

When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder

∵ ABCD is a rectangle

∵ It is folded where AB coincides with DC

∴ AB is the height of the resulted cylinder

∴ BC is the circumference of the base of the resulted cylinder

∵ AB = 10 cm

∴ h = 10 cm

∵ BC = 22 cm

∴ The circumfrence  of the base = 22 cm

∵ The circumference of a circle = 2 π r

→ Equate the rule by 22 to find r

∴ 2 π r = 22

∵ π = [tex]\frac{22}{7}[/tex]

∴ 2 × [tex]\frac{22}{7}[/tex] × r = 22

∴ [tex]\frac{44}{7}[/tex] r = 22

→ Divide both sides by [tex]\frac{44}{7}[/tex]

∴ r = 3.5 cm

→ Use the formula of the volume above to find the volume of the cylinder

∵ V = [tex]\frac{22}{7}[/tex] × (3.5)² × (10)

∴ V = 385 cm³

∴ The volume of the resulted cylinder is 385 cm³

9514 1404 393

Answer:

  11. y = -1/4x² +1

  12. y = 1/6(x -3)² +5/2

Step-by-step explanation:

Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.

The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...

  y = 1/(2(b-d))(x -a)² +(b+d)/2

__

11. For (a, b) = (0, 0) and d = 2, the equation is ...

  y = 1/(2(0-2))(x -0)² +(0+2)/2

  y = -1/4x² +1

__

12. For (a, b) = (3, 4) and d = 1, the equation is ...

  y = 1/(2(4-1))(x -3)² +(4+1)/2

  y = 1/6(x -3)² +5/2

__

The attachments show the graphs of these. You can verify the graph by noticing ...

  a) the vertex is halfway between the focus and directrix

  b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve

Answer:

0,7

Step-by-step explanation:

by graphing

Step-by-step explanation:

4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).

Answer:

The distance between the two jets is approximately 2.947 kilometers.

Step-by-step explanation:

From the statement we know the location of each jet in polar coordinates, which are defined by the following notation:

[tex]\vec r = (r, \theta)[/tex] (1)

Where:

[tex]r[/tex] - Distance of the jet from the origin, measured in kilometers.

[tex]\theta[/tex] - Angle of the jet with respect to the east direction, measured in sexagesimal degrees.

To transform polar coordinates into rectangular coordinates, we use the following expressions:

[tex]x = r\cdot \cos \theta[/tex] (2)

[tex]y = r\cdot \sin \theta[/tex] (3)

And lastly, we determine the distance between the two jets ([tex]d[/tex]), measured in kilometers, by the Pythagorean Theorem:

[tex]d = \sqrt{(r_{2}\cdot \cos \theta_{2}-r_{1}\cdot \cos \theta_{1})^{2}+(r_{2}\cdot \sin \theta_{2}-r_{1}\cdot \sin \theta_{1})^{2}}[/tex] (4)

If we know that [tex]r_{2} = 4\,km[/tex], [tex]\theta_{2} = 150^{\circ}[/tex], [tex]r_{1} = 2\,km[/tex] and [tex]\theta_{1} = 195^{\circ}[/tex], the distance between the two jets is:

[tex]d = \sqrt{[(4\,km)\cdot \cos 150^{\circ} -(2\,km)\cdot \cos 195^{\circ}]^{2}+[(4\,km)\cdot \sin 150^{\circ} -(2\,km)\cdot \sin 195^{\circ}]^{2}}[/tex]

[tex]d \approx 2.947\,km[/tex]

The distance between the two jets is approximately 2.947 kilometers.

Answer:

0.0001825

Step-by-step explanation:

First you find out what 10 to the -4th power is after that you multiply the decimal shown (1.825) you start moving the number behind the decimal and you have your answer 0.0001825

Answer:

0.0001825

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

Answer: Store A with price at $183.75 has the better price for the baseball bat

Step-by-step explanation:

Step 1

 New price of baseball bat at store A= Original price - 25% off sale

$245- (25/ 100 x 245)

$245-$61.25

$183.75

New price of baseball bat at store B= Original price +20% mark up

=$166 + (20 /100 x 166)

=$166 + 33.2

$199.2

Step 2

Having that the price of bat at store A is =$183.75 and the price of bat at store B is =$199.2, The better price for the baseball bat is sold at Store A which is a cheaper option

Answer:

It is cheaper to buy the bat in Store A.

Step-by-step explanation:

Giving the following information:

Store A:

Selling price= $245

Discount= 25%

Store B:

Selling price= $166

Mark-up= 20%

We need to determine which store is cheaper to buy the bat:

Store A:

Discounted selling price= 245*0.75= $183.75

Store B:

Mark-up selling price= 166*1.2= $199.2

It is cheaper to buy the bat in Store A.

Answer:

x=2<br/>y=1

Step-by-step explanation:

\left\{ \begin{array} { l } { 4 x + y = 9 } \\ { 3 x - 2 y = 4 } \end{array} \right.

4x+y=9,3x-2y=4

4x+y=9

4x=-y+9

x=\frac{1}{4}\left(-y+9\right)

x=-\frac{1}{4}y+\frac{9}{4}

3\left(-\frac{1}{4}y+\frac{9}{4}\right)-2y=4

-\frac{3}{4}y+\frac{27}{4}-2y=4

-\frac{11}{4}y+\frac{27}{4}=4

-\frac{11}{4}y=-\frac{11}{4}

y=1

x=\frac{-1+9}{4}

x=2

x=2,y=1

Answer:

{4}

Step-by-step explanation:

first move 7 to RHS in addition

then 4 in RHS in division

Answer:

{-1/2,4}

Step-by-step explanation:

Answer:

3x+6x+27

9x+20+7

Step-by-step explanation:

just expand out the equation

Answer:

3(3x+9)

9(x+3)

Step-by-step explanation:

3(3x+9)= 9x+27

9(x+3)= 9x+27

Answer:

y=1/3x

Step-by-step explanation:

the third one

Answer:

1 - 5

2 - 7

Step-by-step explanation:

Plug the x values into the equation.

I can't see to do all of them, so I'll just do the first two.

1. y=2(1)+3

= 2 + 3 = 5

2. 2(2) + 3

= 4 + 3= 7

Answer:

C or A

Step-by-step explanation:

Answer:

He has to work for more than 8 hours.

Step-by-step explanation:

8t + 4 > 52

8t + 4 - 4 > 52 - 4

8t > 48

8t/8 > 48/8

t > 8

Answer: See explanation

Step-by-step explanation:

We are informed that we should arrange -4, -2, -1, 5,6,8 arrange into 3 pairs with the same total. This will be:

= (-4,8), (-2,6), and (-1,5).

Let's check the total for each. This will be:

= (-4,8) = -4+8 = 4

(-2,6) = -2 + 6 = 4

(-1,5) = -1 + 5 = 4

Answer:

its 90 bc the angle has a square (tbh I'm just guessing

Answer:

just use the pie sign in your calculator

pi = 3.1415926535898

This is something you either memorize, have on a flashcard, or just let your calculator handle the details. The digits of pi are effectively random and do not repeat with a known pattern.

Answer:

b = 2.25

Step-by-step explanation:

Here, we want to get the value of b

from the question;

s(x) = ab^n

Firstly;

15 = a•b^5

Secondly

170 = a•b^8

Divide second by first

170/15 = ab^8/ab^5

11.33 = b^3

b is the cube root of 11.33

b = 2.25

across

1) 10

2) 25

5)9

6)12

Step-by-step explanation:

3d + 4.5g <= 18.

3 possible combinations are:

0 DVD and 4 Video games,

1 DVD and 3 Video games,

2 DVDs and 2 Video games.

Answer:

3 possible combinations are:

0 DVD and 4 Video games

1 DVD and 3 Video games

2 DVDs and 2 Video games

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2,0) (0, -2) = (-2 - 0)/(0 + 2) = -2/2= -1

y - 0 = -1(x + 2)

y = -x - 2

slope is -1