Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?

Sabiendo que en la estrella la  suma de los cuatro  números de la línea  es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

En primer lugar, sabes que en la estrella la  suma de los cuatro  números de la línea  es la misma.

Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:

12 +1 +2 +15= 30

Entonces la suma en todas las líneas debe dar como resultado 30.

Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.

Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:

12 + (8-3) + 4 + b= 30

Resolviendo:

12 + 5 + 4+ b= 30

21 + b=30

b= 30 - 21

b= 9

Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:

15 + 3 +4 + c= 30

22 + c= 30

c=30 - 22

c= 8

Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:

Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30

Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30

De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.

En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

Aprende más con este problema similar

Answer:

$466.62

Step-by-step explanation:

Balance = $175 - $24.39 - $65.21 + $381.22

Use your calculator to add or subtract each new term as indicated:

$175 - $24.39 = $150.61

Next, subtract $65.21:  $150.61 - $65.21 = $85.40

Finally, add $381.22:  $85.40 + $381.22 = $466.62

on November 27 the new balance in rob's account became $466.62.

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 2/3 divided by 4/9 is 3/2.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: 1 1/2

Step-by-step explanation: 2/3/4/9

(2/3)(9/4) 18/12/6/6 3/2 1 1/2

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Step-by-step explanation:

(cubic root (x²))⁶ = (x^2/3)⁶ = x^2×6/3 = x^12/3 = x⁴

Answer:

true

false

true

true

Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.

Answer:

39

Step-by-step explanation:

detailed explanation showed in the diagram above

Answer:

Option D is correct.

Step-by-step explanation:

We can tell that

Now, let's simplify.

=> [tex]4x + 2 + \frac{4x-4}{2} = 180[/tex]

=> [tex]4x + 2 + 2x-2 = 180[/tex]

=> [tex]4x + 2x = 180[/tex]

=> [tex]6x = 180[/tex]

=> [tex]x = 30[/tex]

Therefore, Option D is correct.

Hoped this helped.

Answer:

i hope this helps!

Step-by-step explanation:

Answer:

Domain: 3,4,5,6

Range: 7,9,11,13

Pairs: (3,7), (4,9), (5,11), (6,13)

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:

x + y + z = 185

They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:

x + (5x) + z = 185.

And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:

x + (5x) + (5x-13) = 185

So now we can combine like terms and solve for x.

6x + 5x - 13 = 185

11x - 13 = 185

11x = 198

x = 18

But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:

y = 5x

y = (5*18)

y = 90

Answer:

asa is the correct answer

The postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Two triangles are said to be congruent when they have congruent corresponding parts.

Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,

∠ S ≅ ∠ P [given]

∠ SEA ≅ ∠ PEN [vertically opposite angles]

SE ≅ EP [given]

∴ Δ SEA ≅ Δ PEN by ASA rule

ASA rule :-

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Learn more about congruent triangles click;

https://brainly.com/question/22062407

#SPJ7

First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²

b² = 32² - 28²

b² = 1024 - 784

b² = 240

b = 15.49

Hope this helps!

Answer:

10

Step-by-step explanation:

all sides of square are the same

Answer:

62 and 64

Explanation:

As easy as counting,

62, 63, 64

Let S = Sum after 13 years

     So = amount invested

     t = time in years

     i = annual interest rate = .0325

The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

Answer:

im pretty sure that the answer is -50.5 feet.

Step-by-step explanation:

Answer:

3 packages

Step-by-step explanation:

To find how many packages you can buy for $9, you have to divide 9 by 3.

Since each package costs $3.

So, 9/3 = 3

So you can buy 3 packages of blueberries.

Answer:

3 Packages

Step-by-step explanation:

1 package costs $3

2 packages cost $6 (because 3+3=6)

3 packages cost $9- And we have exactly $9 so we can buy 3 packages.

Answer:

8.3, 8.33, 8.341, 8.382, 8.44, 8.476

Step-by-step explanation:

Answer:

8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️

Answer:

Its correct

Step-by-step explanation:

Answer:                        

A    

Step-by-step explanation:

Answer:

sqrt(90) is irrational

Step-by-step explanation:

sqrt(64) = 8

sqrt(90) = 3 sqrt(10)

sqrt(25) =5

sqrt(169)=13

The only one that is not simplified to an integer is sqrt(90)

sqrt(90) is irrational

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

Answer: 163.90

Step-by-step explanation:

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

Answer:

Let m represent the number of minutes.

Amount of water in Karla's tank:  100 + 5m

Amount of water in Jake's tank:  50 + 10m

Same amount of water:  100 + 5m  =  50 + 10 m

--->                                         100  =  50 + 5m

--->                                            50  =  5m

--->                                            10 = m

In ten minutes, Karla's tank will have 100 + 5(10)  =  100 + 50  =  150 gallons.

In ten minutes, Jake's tank will have 50 + 10(10)  =  50 + 100  =  150 gallons.

Step-by-step explanation:

hope this helped!

Answer:

785/10=78.5

Step-by-step explanation:

You move the decimal point back a slot since your dividing by 10

Answer:

78.5

Step-by-step explanation:

i used a calculator bc im bad at lond division XD

Answer:  -164

Step-by-step explanation:

Answer:-164

Step-by-step explanation:

−2(−8)

2

+2(−8)−20

Plug into each x-value

−

2

(

64

)

+

2

(

−

8

)

−

20

−2(64)+2(−8)−20

Square first

−

128

−

16

−

20

−128−16−20

Multiply

f

(

−

8

)

=

−

164

f(−8)=−164

Answer:

17 1/2

Step-by-step explanation:

3 1/2 / 1/5=17 1/2