How many quarts are in 2 and 3/4 of a gallon

Answers

Answer 1

Answer: A gallon consists of 4 quarts so what you want to do is convert the mixed number: 2+3/4 into an improper fraction: 11/4. But you ignore the /4 part because a quart = a gallon/4. So the 4s cancel out and you're left with 11. So the answer is 11 quarts in 2+3/4 gallons.

Answer 2

Answer:

A gallon consists of 4 quarts so you want to do is convert the mixed number: 2+3/4 into an improper fraction: 11/4. But you ignore the /4 part because a quart = a gallon/4. So the 4s cancel out and you're left with 11. So the answer is 11 quarts in 2 3/4 gallons.

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What is the exact area of a circle whose diameter is 24 cm

Answers

The area formula of a circle is π× $r^(2)$ pi is 3.14 and r is the radius. The question gives you the diameter. To find the radius with a given diameter, divide the diameter by 2. 24÷2=12. The radius is 12. Now we can multiply 3.14× $12^(2)$ do the exponents first. 12×12=144. Now multiply that by pi. 144×3.14=452.16

Why might someone choose to use the Y intercept in the slope to graph a line

Answers

Because Y-intercept shows where the line intersects with the y-axis. It's easier to graph if you have a starting point. Something to go off of and use the slope to continue the line.

F(x) = $√(x+7) -√(x^2+2x-15)$ find the domain

Answers

Answer:

x >= -7 ................(1a)

x >= 3 ...............(2a1)

Step-by-step explanation:

f(x) = $√(x+7)-√(x^2+2x-15)$ .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0 .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1), x >= -7 .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3 ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7 ................(1a)

AND

(

x >= 3 ...............(2a1)

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1) OR (1a) and (2b1)

( x >= -7 and x >= 3 ) OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3 OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

f(x) =
find the domain

How do i factorise 1.)au-5b+ ab -5u
2.) 8bx - 15ay - 6by + 20ax
3.) 5pSquare - 8q +2p -20q

Answers

1)u(a-5)+b(-5+a);2). b(8x-6y)+a(15y+20x). 3). I have no idea for the third one....

We know 4 times 9 = 36So, which of the following statements are also true?
Select all that apply.

9 is a multiple of 36

36 is a factor of 4

9 is a factor of 36

PLEASE HELP ASAP!!!

Answers

9 is NOT a multiple of 36. 36 is a multiple of 9.Multiples go..9,18,27,36 so 36 would be 36,72,108...36 is not a factor of 4. Factors of 4 are 1,2,4.The only correct answer is 9 is a factor of 36.

Hello!

So, 9 is a multiple of 36, we know that much.
36 is NOT a factor of four.
9 is a factor of 36.
So, check the first box and the third box.

Have a wonderful day! :)

-L

Reflect the triangle in the mirror line.

Answers

The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.

What is a reflection?

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

The top left point will stay the same in the axis, and will be on the axis

Finally, the top right point will stay true same on the x-axis, but will be on the axis in its image.

Since the mirror is a plane surface which can reflect light. The diagram attached below shows the schematic representation of reflection of a triangle that occurs in a plane mirror.