Why do I keep getting the answer: 35 11/16
Or another answer of 38 ¾
depending on if I convert the mixed number to an improper fraction of not...
what am I doing wrong???

This is the word problem:
"To find the area of a square room, Gordon must square the length of one side. The length of one side of room A is 1 ¼ yards. The length of one side of room B is 6 yards. What is the area of both rooms together?"

The correct answer is 37 ⁹/16

I did the math, and wrote the expression as: (1 ¼)² + 6². but still getting it wrong.....

also should I always convert a mixed number before using it's exponent???

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The sum of the areas of the 2 rooms is

(1 [tex]\frac{1}{4}[/tex] )² + 6² ← change the mixed number to an improper fraction

= ([tex]\frac{5}{4}[/tex] )² + 6²

= [tex]\frac{25}{16}[/tex] + 36

= 1 [tex]\frac{9}{16}[/tex] + 36

= 37 [tex]\frac{9}{16}[/tex]


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find the inverse function of g(x) = sqrt x-7

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the inverse is x²+7
.......

The inverse of g(x) is x² + 7

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

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So after switching x and y,

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becomes

x = √(y - 7)

Now, we solve for y regularly.

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Therefore the inverse of g(x) is x² + 7

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write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

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Answer: f(-3a-2)=-9a+13

Step-by-step explanation:

To find f(-3a-2), we plug in -3a-2 into f(x).

f(-3a-2)=3(-3a-2)+19              [distribute]

f(-3a-2)=-9a-6+19                  [combine like terms]

f(-3a-2)=-9a+13

Now, we know that f(-3a-2)=-9a+13.

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Umm it the unit rate is

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Answers

Answer:

4,872 miles

Step-by-step explanation:

Step 1:

2,436 : 6

Step 2:

2,436 : 6 = x : 12

Step 3:

6x = 29,232

Answer:

x = 4,872

Hope This Helps :)

If 1 gallon of paint covers 300 square feet, how many gallons
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The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

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The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

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Answers

Answer:

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Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Step 1:

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Step 2:

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Answer:

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Hope This Helps :)

A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 ​gallon hot​ tub?

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Answer: I dont have the full answer, but this is what i could figure out.

Step-by-step explanation:

3.01 gallon per minute

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I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!

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Answer:

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Step-by-step explanation:

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I believe the degree of the polynomial is 3 because that is the highest exponent

I WILL GIVE BRAINLIEST
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Answer:

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Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

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= 9r³ - r²

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Answers

Answer:

6 is in the thousandths place

Step-by-step explanation:

Solve
y
= x2 + 23 for x.
O A. x= y - 23
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O C. X = +VÝ - 23
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Answers

Answer:

x = ±√(y - 23)

Step-by-step explanation:

y  = x^2 + 23 may be solved for x as follows:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?

Answers

Answer:

The answer to your question is 192 pretzels

Step-by-step explanation:

Data

number of pieces = 8

length of each piece = 2 ft

length of each pretzel = 1 in

number of pretzels = x

Process

1.- Convert ft to in

                        1 ft --------------- 12 in

                         2 ft --------------- x

                         x = (2 x 12) / 1

                         x = 24 ft

2.- Divide the length of each piece by the length of each pretzel

                       24/1 = 24 pretzels per piece

3.- Multiply the number of pretzels per the number of pieces

                       24 x 8 = 192 pretzels

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Answers

Answer:

f(5) = -10+30+19 = 39

Step-by-step explanation:

f(5) = (-5)2+6(5)+19

-10+30+19

=39

Please help this math problems

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Answer:

1)85

2)-3

3)-5

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Step-by-step explanation:

2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it

by extending cach side 7 feet.

a. Represent the length and width of the original garden using an appropriate variable.

Width:

W.4

w

Length:

b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is

enlarged

Perimeter:

Answers

Answer:

P = 10W + 28

Step-by-step explanation:

Let L be the original length of the garden

W  be the original width of the garden

If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W

If he is going to enlarge it  by extending each side 7 feet, then;

The new length l = (4W + 7) feet

The new width will be w =(W+7) feet

Perimeter of the rectangular gerden P = 2(l+w)

l and w are the new length and width

Substituting l = 4W+7 and w = W+7 into the formula;

P = 2(4W+7+W+7)

P = 2(5W+14)

open the parenthesis

P = 10W + 28

Hence the perimeter of Mr. Kim's garden after it is  enlarged is given by the expression P = 10W + 28

Can anyone help me with my algebra homework please ?

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Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

solve the equation
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46+x÷6−21=25+6

Answers

Answer:

×=36

Step-by-step explanation:

46+1/6X-21=31

25+1/6X=31

1/6X=31-25

1/6X=6

X=36

If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?

Answers

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?

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Answer:

20r-23p

Step-by-step explanation:

is 3.45445554 rational or irrational?

Answers

Answer:

3.45445554 is irrational.

Hope this helps!

Please can you mark as Brainliest!

Step-by-step explanation:

Answer:

[tex]3.45445554[/tex]

Rational number ✔️

rational number is the number that can form a fraction

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