Batman's age is 4 more than twice of robins age. When you add batman's age to robins you get 58. How old is batman and how old is Robin
Part A: Use x to repersent Robins age. Write an equation that represents the situation
Part B: Solve the equation from Part A Show your work. State your solution as a complete sentence​

Answer:

\( {x}^{2} - x - 56 = 0 \\ { \boxed{ (x - 8)(x + 7) = 0}}\)

Answer:

0.0045%

Step-by-step explanation:

0.0045 is not a fraction so it is a decimal already.

Answer:

0.000045

Step-by-step explanation:

good luck!

Answer:

20  C 13 = 77520

Step-by-step explanation:

That's the answer that it told me on delta math.

Answer:

\(\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}\)

To determine the rows where the expression (p ∧ q) ∨ (p ∧ r) is true, we can construct a truth table with columns for p, q, r, p ∧ q, p ∧ r, (p ∧ q) ∨ (p ∧ r), as shown below:

```

p | q | r | p ∧ q | p ∧ r | (p ∧ q) ∨ (p ∧ r)

----------------------------------------------

T | T | T | T | T | T

T | T | F | T | T | T

T | F | T | F | T | T

T | F | F | F | F | F

F | T | T | F | F | F

F | T | F | F | F | F

F | F | T | F | F | F

F | F | F | F | F | F

```

The rows where the expression (p ∧ q) ∨ (p ∧ r) is true are the first, second, and third rows, where the last column is true. Therefore, the rows where the expression is true are:

```

p | q | r

--------

T | T | T

T | T | F

T | F | T

```

26 was divided by ten raised to power 2 to get 0.26.

Exponents refer to the number of times a number is multiplied by itself.

\(a^n\) where a is the base and n is the exponent or power. When the base of the number is 10 and the number is multiplied or divided then the decimal of the number shifts to the right and the left respectively.

In the given question,

Divisor = 26

Quotient = 0.26

Dividend = 26 / 0.26 = 100

100 is the number by which the number is divided. 100 can also be written as 10 raised to power 2 or \(10^2\).

Learn more about Exponent:

https://brainly.com/question/28853997

#SPJ4

The numbers in the order of least to greatest is :

₋1.8 , ₋1/4 , 1/2 , 1.41 , 7.2 , 9.1 , 121

Given, the numbers are in decimal and fraction form.

1/2 , -1/4 , 7.2 , 121 , 1.41 , -1.8 , 9.1

we need to convert the fractions and then arrange the numbers in the ascending order.

Writing the numbers in an ordered list according to their values means arranging them from least to greatest. The smallest number should be put on the left, followed by the next smallest number, which should be written directly to its right.

for 1/2:

1/2 = 0.5

for ₋1/4:

₋1/4 = 0.25

now arrange the numbers according to the least to greatest form.

we have numbers:

0.5 , 0.25 , 7.2 , 121 , 1.41 , ₋1.8 , 9.1

least to greatest form:

₋1.8 , 0.25 , 0.5 , 1.41 , 9.1 , 121

i.e , ₋1.8 , 1/4 , 1/2 , 1.41 , 9.1 , 121

Hence we get the required form.

Learn more about Number forms here:

brainly.com/question/1094377

#SPJ9

Answer:

x = 1

y = 5

Step-by-step explanation:

5x - 2y = -5

5x + 6y = 35

=> 5x + 6y = 35

=> 5x - 5x + 6y = 35 - 5x

=> 6y = 35 - 5x

=> 6y/6 = 35/6 - 5/6x

=> y = 35/6 - 5/6x

=> 5x - 2 (35/6 - 5/6x) = -5

=> 5x - 35/3 + 5/3x = -5

=> 15/3x -35/3 + 5/3 = -15/3

=> 20/3x -35/3 = -15/3

=> 20/3x -35/3 + 35/3 = -15/3 + 35/3

=> 20/3x = 20/3

=> 20/3x * 3 = 20/3 * 3

=> 20x = 20

=> 20x/20 = 20/20

=> x = 1

=> 5x + 6y = 35

=> 5(1) + 6y = 35

=> 5 + 6y = 35

=> 5 -5 + 6y = 35 -5

=> 6y = 30

=> 6y/6 = 30/6

=> y = 5

So, x = 1

     y = 5

Answer: The Environmental Protection Agency representative can visit 5 factories out of 9 factories in 126 different ways to investigate the pollution.

Therefore, the answer is (C) 126.

Step-by-step explanation:

In the problem, the representative has to visit 5 of the 9 factories.

The number of ways to do this is a combination problem.

Here is the solution:

We can solve this by using the formula for a combination, which is:

$$\frac{n!}{r!(n-r)!}$$

where n is the total number of items (in this case, 9) and r is the number of items we are choosing (in this case, 5).

Using this formula, we get:

\(\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\)

\(=\frac{9\times8\times7\times6\times5!}{5!4\times3\times2\times1}\)

\(=\frac{9\times8\times7\times6}{4\times3\times2\times1}\)

\(=126.\)

To know more about Environmental  visit:

https://brainly.com/question/21976584

#SPJ11

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer: The length is 7, the width is 3.

Step-by-step explanation:

7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.

7+7 is 14,

3+3 is 6

14 + 6 is 20 which is the perimeter.

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

Answer:

B. ) 3 over 4 and space 5 over 7

Step-by-step explanation:

Answer:

6x=10+5x

Step-by-step explanation:

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

J+M=180 implies that:

2x+9+6x-1=180

Collect like terms:

2x+6x=180-9+1

8x=172

Divide both sides by 8

x=21.5

We have:

K=M

This becomes

K=6x-1

Substitute 21.5 for x

K=6*21.5-1

K=129-1

Subtract 1 from 129

K=128

Hence, the measure of angle K must be 128 degrees

To learn more about quadrilaterals refers to;

https://brainly.com/question/18174969

#SPJ1

\(y = 4-2x , y = 0 , x = 0\) The region is a triangle with the upper right corner at (2, 4).

1. Start by drawing the three lines: the line \(y=4−2x\), the line y=0, and the line x=0.

2. Find the coordinates of the upper right corner of the region. To do this, we need to find the point where the two lines y=4−2x and x=0 intersect. We can solve this by setting y=4−2x and x=0, which gives us the point (0, 4). This is the upper right corner of the region.

3. The region is a triangle with the upper right corner at (2, 4).

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer:

17

Step-by-step explanation:

both m's substitute for 4

4+4+9

8+9

17

Therefore , the solution of the given problem of unitary method comes out to be Mr. Tan makes a total of $30 Plus $18 = $48.

To finish the job using the unitary technique, the equation from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.

Here,

Let's name the CDs' pre-tax cost "x" for simplicity. The overall cost of the CDs before tax is two times because Lena purchased two of them for the same price. The cost of the Discs, with the addition of the $1.80 sales tax, is:

=> 2x + $1.80

Given that we know the final price, including tax, was $23.40, we can create the following equation:

=> 2x + $1.80 = $23.40

By deducting $1.80 from each half, we arrive at:

=> 2x = $21.60

When you divide both parts by 2, you get:

=> x = $10.80

As a result, each Disc cost $10.80 before taxes.

We can create another equation now that we know his revenues from selling apple juice are $12 higher than his profits from selling lemon juice:

=> 30n - 18n = 12

=> 12n = 12

=> n = 1

As a result, Mr. Tan sells 2n + 5n = 7n = 7 glasses of juice, for a total profit of 30n = $30 from the sale of apple juice and 18n = $18 from the sale of lemon juice.

Therefore, Mr. Tan makes a total of $30 Plus $18 = $48.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

a)366

Step-by-step explanation:

244×6=1464÷4=366

Answer:

Truly spoken

Step-by-step explanation:

Answer:

Katherine would have $109.54 more than Stella.

Step-by-step explanation:

Giving the following information:

Stella:

Initial investment (PV)= $6,100

Interest rate (i)= 0.065/12= 0.0054 per month

Number of periods (n)= 7*12= 84

Katherine:

Initial investment (PV)= $6,100

Interest rate (i)= 0.06625/4= 0.0167

Number of periods (n)= 7*4= 28

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

Stella:

FV= 6,100*(1.0054^84)

FV= $9,589.5

Katherine:

FV= 6,100*(1.0167^28)

FV= $9,699.04

Difference= $109.54

Katherine would have $109.54 more than Stella.

Answer:

the answer is d

Step-by-step explanation:

\( \frac{15}{20} \times 100 = 75\)

Answer:

as triangle is a right angle triangle .

you can apply trigonometric ratios .

by tan theta = perpendicular / base

tan 55° = 12/x

x = 12/ tan 55°

put the value of tan 55 ° here .

as I don't know the value of tan 55° as it was not present in my syallabus still now .

hope you will get the idea .

hope this will be helpful to you.

Answer:

$42

Step-by-step explanation:

12*3=36+6=42

Answer:

Minus 9

Step-by-step explanation:

The general solution of the differential equation e3t y" – 6y' + 9y for t > 0 is y = Ae3t + Bte3t, where A and B are arbitrary constants.

The method of variation of parameters is a method for finding the general solution of a nonhomogeneous linear differential equation. In this case, the differential equation is e3t y" – 6y' + 9y. The complementary solution is y_c = Ae3t + Bte3t, where A and B are arbitrary constants.

To find the particular solution, we need to find two functions, u(t) and v(t), such that u'(t) = –6u(t) + 9v(t) and v'(t) = –6v(t) + 9y_c(t). Once we have found these functions, the particular solution is y_p = u(t)y_c(t) + v(t)y_c'(t).

In this case, the functions u(t) and v(t) are u(t) = t and v(t) = 1. Therefore, the particular solution is y_p = ty_c(t) + y_c'(t) = Ae3t + Bte3t.

The general solution is the sum of the complementary solution and the particular solution. Therefore, the general solution is y = Ae3t + Bte3t, where A and B are arbitrary constants.

To learn more about differential equation click here : brainly.com/question/31862797

#SPJ11

Answer:

1223 ÷ 23 = 53.1739130435