Find the total surface area in square inches, of the following 3-
dimensional figure. Enter just a number for your answer.

Let us assume x and y are the two digits of the number.

Therefore, two-digit number is = 10x + y and the reversed number = 10y + x

Given:

x + y = 12

y = 12 – x -----------1

Also given:

10y + x - 10x – y = 18

9y – 9x = 18

y – x = 2 -------------2

Substitute the value of y from eqn 1 in eqn 2

12 – x – x = 2

12 – 2x = 2

2x = 10

x = 5

Therefore, y = 12 – x = 12 – 5 = 7

Therefore, the two-digit number is 10x + y = (10*5) + 7 = 57

Can you mark me brainliest? Thank you and be safe! :D

-Eli

Hmmm pretty sure it is 57, after doing the math.

Answer:

y=46

Step-by-step explanation:

The 2 inside angles added up together equals the outside angle

Using the statement above, I put it into an equation y+y+3=y+49

And solve y=46

Answer:

The Domain is all real numbers.  there are no restrictions upon x.

The Range (-2,∞) because when x= -7, -2 is the minimum amount

Step-by-step explanation:

Answer:

(10A) / (3s) = a

Step-by-step explanation:

A = 3as /10

Multiply each side by 10

10A = 3as /10  * 10

10 A = 3as

Divide each side by 3s

10 A / 3s = 3as/3s

10A / 3s = a

10A /3s =a

(10A) / (3s) = a

Answer:

a = (10A)/(3s).

Step-by-step explanation:

A = 3as/10

Cross-multiply:

10A = 3as

Divide both sides by 3s:

a = (10A)/(3s).

Answer:

11x²√2x

Step-by-step explanation:

Step 1: Simplify the square roots

[tex]\sqrt{18x^{5}} = 3x^{2}\sqrt{2x}[/tex]

[tex]2\sqrt{32x^5} = 8x^{2} \sqrt{2x}[/tex]

√18 = √9(√2)

√32 = √16(√2)

[tex]\sqrt{x^5} =\sqrt{x^4} \sqrt{x} = x^{2} \sqrt{x}[/tex]

Step 2: Add them together

11x²√2x

Answer:

-3.0

Step-by-step explanation:

The opposite of 2 & 1/2 is the negation, or -2 & 1/2, or -2.5.

The sum of 1.25 (1 & 1/4 or 5/4) and -1 & 3/4 (-1.75 or -7/4) is -2/4 (or -0.5).

So if we add -2.5 to -0.5, we get -3.0.

Answer:

-(x - 7)(x + 9)

Step-by-step explanation:

Step 1: Factor out -1

-1(x² + 16x + 63)

Step 2: Factor quadratic

-1(x - 7)(x + 9)

Answer:

-(x - 7)(x + 9)

Step-by-step explanation:

Factor out -1

-1(x² + 16x + 63)

Factor quadratic

-1(x - 7)(x + 9)

Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

x + 65 + 45 = 180

x + 110 = 180

x = 180 - 110

x = 70

The size of angle x is 70 degrees.

Answer:

70

Step-by-step explanation:

180-65-45=70

Good luck

Step-by-step explanation:

Non examples are:

y= 1/2 x - 3

y = x - 2

x = 6y

Examples are:

5x - 3y = 9

2x + 3y = 0

x + y = 1

Answer:

AB = [tex]\left[\begin{array}{ccc}0&-2\\4&-12\\\end{array}\right][/tex]

Step-by-step explanation:

To obtain the first row of AB

Sum the products of corresponding elements in row 1 of A with elements in column 1 and 2 of B

To obtain the second row of AB

Sum the corresponding elements in row 2 of A with elements in column 1 and 2 of B, that is

AB = [tex]\left[\begin{array}{ccc}0(-1)+2(0)&0(3)+2(-1)\\-4(-1)+0(0)&-4(3)+0(-1)\\\end{array}\right][/tex]

      = [tex]\left[\begin{array}{ccc}0+0&0-2\\4+0&-12+0\\\end{array}\right][/tex]

      = [tex]\left[\begin{array}{ccc}0&-2\\4&-12\\\end{array}\right][/tex]

Answer:

The answer is B.

Step-by-step explanation:

2y = -2x - 10

y =    2x + 2 (combine like terms using addition)

_________

3y = -8

Answer:

6root(2)/25

Step-by-step explanation:

5^-2 = 1/25

3(root(8)) = 6(root(2))

so you get 6(root(2))(1/25)

= 6(root(2))/25

The required simplified value of the given expression is 0.34 or  6√2 / 25.

Given that,
Expression to simply ios given,
5⁻² x 3√8

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Simplification =>
= 5⁻² x 3√8
= 1/ 5⁻² x 3 x 2 √2
= 6√2 / 25
= 0.34

Thus, the required simplified value of the given expression is 0.34 or  6√2 / 25.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

A. (8, -2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

We are given midpoint and 1 endpoint, so simply set the equation and solve:

1 = (-6 + x)/2

2 = -6 + x

x = 8

2 = (6 + y)/2

4 = 6 + y

y = -2

Answer:

6.4m

Step-by-step explanation:

We can use ratios to solve this

Since 4cm: 3200cm

(RHS is 800x bigger)

Then 8cm : 6400cm

6400cm = 6.4m

Answer:

$8000 worth of sales

Step-by-step explanation:

We know Jack needs to make $1000 in 40 hours. We also know he makes 5% commission, meaning he gets 5% of the money from a sale, and that he makes $15/h.

First, lets find how much made from his hourly pay.

40 * $15 = $600

Now subtract that from how much he needs,

$1000 - $600 = $400

He still needs $400 from commissions. We know he makes 5% commission, so we can find the total value of the sales he'd need by multiplying 400 by 20 since 5% x 20 = 100%, aka the total value. $400 x 20 = $8000 in sales.

Answer:

1. Number line with open circle on 2 and shading to the right.

2. z > 55

Step-by-step explanation:

Question 1

It is > 2, so is the number line with open circle on 2 and shaded to the right

Question 2

over the age of 55  ⇔ z > 55

Answer:

What the person on top said

Step-by-step explanation:

There smart

Answer:

as volume=lenght×width×height

volume=10ft×6.25ft×4.5ft

volume=62.5ft²×4.5ft

volume=281.25 cubic feet

Step-by-step explanation:

i hope this will help you :)

Answer:

18x - 63y.

Step-by-step explanation:

9(2x-7y)

= 9 * 2x - 9 * 7y

= 18x - 63y

Hope this helps!

Answer:

Step-by-step explanation:

Distribute (multiply) the 9 to both the 2x and -7y

You get: 18x -63y        

This is because 9 times 2x is 18x. Furthermore, 9 times -7y is equal to             -63y

Answer:

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

[tex] {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} \\ {(ac)}^{2} = {(12)}^{2} + {(8.4)}^{2} \\ {(ac)}^{2} = 144 + 70.56 \\ {(ac)}^{2} = 214.56 \\ ac = \sqrt{214.56} \\ ac = 14.64 \: cm[/tex]

Similarly,

In ∆BCD, CB=90

[tex]cd = \sqrt{ {(8.4)}^{2} + {(4.1)}^{2} } [/tex]

[tex] = \sqrt{70.56 + 16.81} \\ = \sqrt{87.37} \\ = 9.34 \: cm[/tex]

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..

Answer:

y=x+5

Step-by-step explanation:

Answer: 1.6

Step-by-step explanation:

This data set is 0,1,2,2,3.  Thus, you can calculate the mean by doing (0+1+2+2+3)/5=1.6

Hope it helps <3

Answer:

Step-by-step explanation:

1. Add all the numbers that we have on the dot plot together.

First, we have one 0. Then we have one 1. After that, we have two 2s. Finally, we have one 3.

2. Add all the numbers

0 + 1 + 2 + 2 + 3 = 8

3. Divide by the number of numbers.

8/5 = 1.6

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars. 

Answer:

D. 6

Step-by-step explanation:

Got it correct on edg2020

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

[tex](a+b)c=a \cdot c+b \cdot c[/tex]

Given the algebraic expression: (7 + a)3

Applying the distributive property

[tex](7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a[/tex]

An equivalent expression is 21+3a.

The correct option is B

Answer:

a = 9b

divide each side by 9

[tex]\frac{a}{9}[/tex] = b

The formula a = 9b in terms of b is [tex]\bold{b=\frac{a}{9} }[/tex]

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given an equation a = 9b

We need to solve above equation for b.

⇒ a = 9b                          .......................(Given equation)

⇒ a / 9 = (9b)/9                .......................(Divide both the sides by 9)

⇒ b = [tex]\frac{a}{9}[/tex]

Therefore, the given formula in terms of b: [tex]\bold{b=\frac{a}{9} }[/tex]

Learn more about equation here:

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Answer:

There are no solutions

Step-by-step explanation:

need points for finals

Answer:

D.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

16,242. 7 cm^3.

Step-by-step explanation:

We need to cut off a square piece at the 4 corners of the cardboard.

Let the length of their edges be x cm.

The volume of the box will be:

V = height * width * length

V = x(100-2x)(40-2x)

V = x(4000 - 200x - 80x + 4x^2)

V = x(4x^2 - 280x + 4000)

V =  4x^3 + - 280x^2 + 4000x

Finding the derivative:

dV / dx =  12x^2 - 560x + 4000  = 0  ( when  V is a maxm or minm.)

4(3x^2 - 140x + 1000) = 0

x =  37.86, 8.80.

Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:

V" =  24x - 560, when x = 8.8   V" is negative so this is a Maximum for V.

So the maximum volume of the box is when x = 8.8 so we have

V =  8.8(100-2(8.8)(40 - 2(8.8)

=  16,242. 7 cm^3.

Answer:

(0, 6)

Step-by-step explanation:

The solution is the point of intersection of the lines.

(0, 6)