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3 years ago

The prime factorizations of 54 and 72 are shown below.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

5 0

Your answer is 2’3’3!! (2*3*3 = 18)

hopefully this helps, good luck bud! :)

serg [7]3 years ago

4 0

Answer

Option B: 2 ' 3 ' 3

Step-by-step explanation

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Find the percent of discountOriginal price Sale Price $60 % $45

qwelly [4]

Answer:

25% Discount

Step-by-step explanation:

find the percent of discountOriginal price Sale Price

$60

% $45 =

$60 was the SP

$45 is the MP

discount = 60/45 * 100 = 75

100 - 75 = 25%

8 0

2 years ago

Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

Equation Solving

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

2 years ago

Lara bought 3 yards of fabric and a spool of thread for $28.10. If the spool of thread cost $1.25, how much did the fabric cost

Lyrx [107]

Answer: $8.95 per yard of fabric

Step-by-step explanation:

Define the following:

x = cost of fabric per yard

Make an equation:

⇒ 3x + 1.25 = 28.10

⇒ 3x = 26.85

⇒ x = 8.95

∴ $8.95 per yard of fabric

7 0

2 years ago

It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per

mixer [17]

Answer:

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

3 0

2 years ago

5 X Х please find the answer 20

Daniel [21]

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.

3 0

3 years ago